find a basis for the eigenspace corresponding to the eigenvalue
Answers
In linear algebra, an eigenvector is a vector that stays on the same line after a linear transformation is applied to it. The eigenvalue of a matrix is a scalar that represents the factor by which the eigenvector is scaled during the transformation. If A is a matrix, then the eigenspace corresponding to λ, a scalar, is the set of all eigenvectors of A with eigenvalue λ. In this article, we will find a basis for the eigenspace corresponding to the eigenvalue, λ. Find a basis for the eigenspace corresponding to the eigenvalue λ Let us assume that A is an n × n matrix with eigenvalue λ, and we need to find a basis for the eigenspace corresponding to λ. To do this, we must find all vectors x such that Ax = λx. In other words, we are looking for non-zero solutions to the equation (A − λI)x = 0, where I is the identity matrix. We know that (A − λI)x = 0 has non-zero solutions if and only if det(A − λI) = 0. Thus, we need to find the determinant of the matrix (A − λI), and then solve the system of equations (A − λI)x = 0. Once we have the solutions, we can choose a set of linearly independent vectors from the set of solutions to form a basis for the eigenspace. Suppose that A is a matrix, and we need to find a basis for the eigenspace corresponding to the eigenvalue λ. Then we proceed as follows: Find the matrix (A − λI), where I is the identity matrix. Compute the determinant of the matrix (A − λI). This gives us a polynomial in λ. Find the roots of the polynomial, which will be the eigenvalues of the matrix A. Find the nullspace of (A − λI). This is the set of all solutions to the equation (A − λI)x = 0. Choose a set of linearly independent vectors from the nullspace to form a basis for the eigenspace corresponding to the eigenvalue λ. For example, suppose that A is a 3 × 3 matrix, and we want to find a basis for the eigenspace corresponding to the eigenvalue λ = 2. Then we proceed as follows: Find the matrix (A − 2I), where I is the identity matrix. Compute the determinant of the matrix (A − 2I), and solve for the roots of the polynomial. Let us assume that the polynomial is (λ − 2)(λ − 1)(λ + 1). Then the eigenvalues of A are λ1 = 2, λ2 = 1, and λ3 = −1. Find the nullspace of (A − 2I). This is the set of all solutions to the equation (A − 2I)x = 0. Choose a set of linearly independent vectors from the nullspace to form a basis for the eigenspace corresponding to λ1 = 2. Similarly, we can find a basis for the eigenspace corresponding to λ2 and λ3. Note that if the matrix A has distinct eigenvalues, then the eigenvectors corresponding to the eigenvalues are linearly independent. Therefore, we can choose one eigenvector for each eigenvalue and form a basis for the eigenspace.
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To find a basis for the eigenspace corresponding to the eigenvalue, we use the following formula: Basis for the Eigenspace = null(A-λI)Where: A is a matrix, λ is the eigenvalue, I is the identity matrix We can find a basis for the eigenspace corresponding to the eigenvalue by using the above formula.
However, we first need to make sure that the matrix is diagonalizable. This means that we need to make sure that the matrix is square and that it has n linearly independent eigenvectors. There are different methods to find a basis for the eigenspace corresponding to the eigenvalue. Here is one method: Given the matrix A and the eigenvalue λ, we can set up the following equation:(A-λI)x=0Where x is a non-zero vector in the eigenspace of λ.We can then reduce the augmented matrix [A-λI|0] to row echelon form. The solution for x can then be read off. If there are n linearly independent solutions, then we can form a basis for the eigenspace of λ by taking these solutions as the basis vectors.
The eigenspace corresponding to an eigenvalue is the set of all eigenvectors associated with that eigenvalue. An eigenvalue is a scalar value that characterizes a linear transformation or a matrix.
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Related Questions
please help me solve
Answers
Answer:
I think D
Explanation:
Why don't animals that use electricity electrocute themselves.
Answers
Answer:
Electric eels DO endanger themselves by generating electricity. They frequently shock themselves.
That is one animal but I hope it helps!!!
A couple took a small airplane for a quick flight up to the wine country for a romantic dinner and then returned home. The plane flew a total of 5 hours and each way the trip was 300 miles. If the plane was flying at 125 mph, what was the speed of the wind that affected the plane?.
Answers
A couple took a small airplane for a quick flight up to the wine country for a romantic dinner and then returned home. The plane flew a total of 5 hours and each way the trip was 300 miles. If the plane was flying at 125mph, the speed of the wind that affected the plane is 25mph.
Given that, speed of airplane Vₐ= 125 mph
speed of wind V = ?
Speed of wind moving against wind is Vₐ- V
Speed of wind moving along wind is Vₐ+ V
Time taken to fly against wind is 300/( Vₐ- V)
Time taken to fly along wind is 300/( Vₐ+ V)
Total time taken to fly both ways = 5 hours
We know, time = distance/velocity
So,
300/( Vₐ- V) + 300/( Vₐ+ V) = 5
300(Vₐ- V+Vₐ+ V)/(Vₐ²-V²) = 5
600Vₐ/5 = Vₐ²-V²
120Vₐ - Vₐ² = -V²
120*125-125*125 = -V²
V²= 625
V = 25 mph
Thus, speed of the wind is 25 mph.
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a force of 30.0 n is applied to a shaft of radius 2.00 m. what is the torque, in n m, on the shaft?
Answers
The formula for torque, represented by the letter τ (tau), is τ = F × r × sin(θ), where F is the force applied, r is the radius at which the force is applied, and θ is the angle between the force vector and the lever arm.
Here, the given force F = 30 N and the radius r = 2.00 m.
The angle between the force vector and the lever arm is 90 degrees, as the force is applied perpendicular to the radius of the shaft.
So, the torque can be calculated as follows:
τ = F × r × sin(θ)
τ = 30 N × 2.00 m × sin(90°)
τ = 60 Nm
Therefore, the torque on the shaft is 60 Nm.
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complete the sentence to form the correct statement about stem‑and‑leaf plots. outliers in a stem‑and‑leaf plot are
Answers
Stem-and-leaf plots are an excellent way to display data. The outliers in a stem-and-leaf plot are the observations that are located far away from the other observations.
Stem-and-leaf plots are excellent for displaying numerical data in an orderly manner. They assist in determining the minimum, maximum, and range of data and can assist in determining patterns and variations. They also provide an excellent visual representation of the distribution of data and are a fantastic tool for spotting outliers. Outliers are observations in a dataset that are considerably different from the other observations. They can be identified in stem-and-leaf plots as values that are located far away from the rest of the data.
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If Earth shrank to a smaller radius but kept the same mass, the gravitational force between Earth and the Moon would Choose one: A. stay the same. B. increase. C. decrease.
Answers
stay the same -Gravitational force relies only upon distance and the masses - not their sizes. A shorter Earth (of the same mass) would not exert a different force on the Moon.
What is Gravitational force?
The gravitational force exists as a force that attracts any two objects with mass. We reach the gravitational force attractive because it always attempts to pull masses together, it never makes them apart. In fact, every object, including you, lives pulling on every other object in the whole universe!
The gravitational force on Earth stands equivalent to the force the Earth exerts on you. At rest, on or around the surface of the Earth, the gravitational force equals your weight.
stay the same -Gravitational force relies only upon distance and the masses - not their sizes. A shorter Earth (of the same mass) would not exert a different force on the Moon.
Hence, Option A. staying the same is correct.
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What do we calculate if we integrate length element ds around a full circle?
O the diameter of the circle
O the radius of the circle
O the circumference of the circle
O the area of the circle
Answers
If we integrate the length element ds around a full circle, we would calculate the circumference of the circle.
The length element ds represents a small section of the circle's perimeter.
The circumference of a circle is the distance around its perimeter, and it is given by the formula C = 2πr, where r is the radius of the circle.
Integrating the length element ds around the circle amounts to summing up the length of infinitely many small line segments around the perimeter of the circle, which gives us the total circumference of the circle.
So, the correct answer is the circumference of the circle.
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A first order PLL is experimentally observed to lose synchronization when an incoming sinusoid is tuned upwards to 53MHz or downwards to 49 MHz. At these limits the loop stress (u
1
) is measured at 2 V and −2 V respectively. - What is the VCO free running frequency - What is the VCO sensitivity K
3
(in rad/sec/ volt) - What is the phase detector sensitivity K
1
(in volt/rad)
Answers
1) The VCO Free Running Frequency is 51 MHz.
2) The value of VCO Sensitivity (K₃) is 1 MHz/V (or rad/sec/volt).
3) The Phase Detector Sensitivity (K₁) value is 1 V/rad.
To find the answers, we can use the given information and formulas related to the first-order Phase-Locked Loop (PLL):
1) VCO Free Running Frequency:
The VCO free running frequency (\(f_{free\)) can be determined by averaging the upper and lower limits at which the PLL loses synchronization:
\(f_{free\) = (53 MHz + 49 MHz) / 2 = 51 MHz
Therefore, the VCO free running frequency is 51 MHz.
2) VCO Sensitivity (K₃):
The VCO sensitivity (K₃) represents the change in VCO frequency per volt of control voltage. It can be calculated using the following formula:
\(K_3 = (f_{upper} - f_{lower}) / (u_1_{upper }- u_1_{lower})\)
Given:
\(f_{upper\) = 53 MHz
\(f__{lower\) = 49 MHz
\(u_1_{upper\) = 2 V
\(u_1__{lower\) = -2 V
K₃ = (53 MHz - 49 MHz) / (2 V - (-2 V))
= 4 MHz / 4 V
= 1 MHz/V
Therefore, the VCO sensitivity is 1 MHz/V (or equivalently, in rad/sec/volt).
3) Phase Detector Sensitivity (K₁):
The phase detector sensitivity (K₁) represents the change in control voltage per radian of phase difference. It can be calculated as the reciprocal of the VCO sensitivity (K₃):
K₁ = 1 / K₃
K₁ = 1 / 1 MHz/V
= 1 V/rad
Therefore, the phase detector sensitivity is 1 V/rad.
To summarize:
VCO Free Running Frequency: 51 MHz
VCO Sensitivity (K₃): 1 MHz/V (or rad/sec/volt)
Phase Detector Sensitivity (K₁): 1 V/rad
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Cell phones use electromagnetic radiation with energy of about 1.08J/mol photons. Calculate the wavelength and frequency that can be used to describe light with this energy.
Answers
We know that the energy of electromagnetic radiation is given by:
\(E=hf\)where E is the energy, h is Planck's constant and f is the frequency. Before we can use this formula we need to convert the amount of energy given to J so let's do that:
\(1.08\text{ }\frac{J}{mol}\cdot\frac{1\text{ mol}}{6.022\times10^{23}}=1.793\times10^{-24}J\)Now that we have the energy of the radiation, we plug it on the energy equation and solve for the frequency:
\(\begin{gathered} 1.793\times10^{-24}=6.63^\times10^{-34}f \\ f=\frac{1.793\times10^{-24}}{6.63\times10^{-34}} \\ f=2.704\times10^9 \end{gathered}\)Therefore, the frequency of the cell phone electromagnetic radiation is:
\(2.704\times10^9\text{ Hz}\)Now that we know the frequency we just need to remember that the frequency and wavelength of electromagnetic radiation are related by:
\(\lambda=\frac{c}{f}\)Then we have:
\(\begin{gathered} \lambda=\frac{3\times10^8}{2.704\times10^9} \\ \lambda=0.111 \end{gathered}\)Therefore, the wavelength is 0.111 m
. A ray of light traveling in transparent material 1 with index of refraction n 1
=1.20 makes an angle θ 1
=51.0 ∘
with the normal to a flat interface with transparent material 2, which has index of refraction n 2
=1.70, as shown. What is the angle of refraction θ 2
? A. 68.1 ∘
B. 37.5 ∘
C. 29.1 ∘
D. 33.3 ∘
Answers
The angle of refraction θ2 with respect to the surface is 45.76°.Therefore, the correct option is (A) 68.1 ∘.
When a ray of light travels from one medium to another, it bends, this is known as refraction. The angle of refraction is given by Snell's law that states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indices of the two media.
Here, the incident ray of light is traveling in transparent material 1 with an index of refraction n1=1.20. It makes an angle θ1=51.0∘ with the normal to a flat interface with transparent material 2, which has an index of refraction n2=1.70.Now, we need to find the angle of refraction θ2.The correct option is (A) 68.1 ∘
According to Snell's law, we can write that,n1 sin θ1 = n2 sin θ2n1=1.20, θ1=51.0∘, n2=1.70Let's put these values in Snell's law and calculate the value of θ2.n1 sin θ1 = n2 sin θ2sin θ2 = n1 / n2 sin θ1sin θ2 = 1.20 / 1.70 sin 51.0sin θ2 = 0.70sin θ2 = sin -1 (0.70)θ2 = 44.24°The angle of refraction is θ2 = 44.24°.
However, this angle is measured with respect to the normal. But the question asks about the angle of refraction with respect to the surface, which is given by (90 - θ2) = (90 - 44.24) = 45.76°.
Therefore, the angle of refraction θ2 with respect to the surface is 45.76°.Therefore, the correct option is (A) 68.1 ∘.
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Explain in detail the change in energy tore when a ball of dough i dropped onto a kitchen counter
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Dropping a ball of dough onto a kitchen counter, its energy store of potential energy is converted into kinetic energy as it falls. Upon impact, the kinetic energy is converted into potential, thermal, and sound energy.
When a ball of dough is dropped onto a kitchen counter, there is a change in the energy store of the dough. Initially, the dough has potential energy due to its position above the counter. As the dough is dropped, this potential energy is converted into kinetic energy, or energy of motion. As the dough falls, it gains speed and thus increases in kinetic energy.
When the dough strikes the counter, the kinetic energy is converted into a combination of potential energy and thermal energy. The dough compresses and deforms upon impact, increasing its potential energy. The compression and deformation also generates heat, which increases the thermal energy of the dough. A portion of the kinetic energy is also converted into sound energy as the dough makes contact with the counter.
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Q.9 And Q.10 correct answer with explaination
Answers
The option c will be correct in Q10.
What is angular velocity?Time rate at which an object rotates about axis or at which angular displacement between two bodies changes.
We have given is
r=4i , angular acceleration = 4j
v= radius×angular acceleration
v= 4i ×k
v=16j
When we cross i× k = j
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It is common problem to a physically active person who is experiencing dizziness, fatigue, dark-colored urine, and extreme thirst.
Answers
Answer:
Look below.
Explanation:
All the symptoms provided points to the common problem of dehydration. Especially a physically active person because they are constantly sweating which leads to the loss of bodily fluids and dehydration.
When the mass of the ice added to the cup increases, the amount of thermal energy needed to change the temperature of the ice…..
(A) Increases
(B)Decrease
(C) Stays the same
Answers
If a gas and a liquid undergoes the same amount of heating, the gas will
expand ---------- times more than the liquid
Answers
If a gas and a liquid undergoes the same amount of heating, the gas will expand many times more than the liquid. This is because gases have lower densities and occupy more space than liquids, which allows them to expand more readily when heated. The amount of expansion will depend on the specific gas and liquid being considered, as well as the conditions under which they are being heated.
I hope that you liked my answers
Answer:
If a gas and a liquid undergo the same amount of heating, the gas will generally expand significantly more than the liquid. This is because gases have much lower density and higher thermal expansion coefficients than liquids, and therefore, they expand much more for a given temperature change.
The exact amount of expansion depends on the specific gas and liquid, the temperature change, and the pressure conditions, but it is typically several orders of magnitude greater for a gas than for a liquid. This difference in expansion behavior is one of the key characteristics of gases and liquids, and it has important implications for a variety of scientific and engineering applications.
Explanation:
if you kinda confuse just tell me
ALLEN
PLEASE HELP Write the formula associating energy with power.
Write the formula associating potential energy with height.
Answers
Answer:
The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.
What is mast often givena value of zero to describe an object's position on a straight line? Odisplacement Oreference point O distance Oending location Mak Save and Exit
You'll get brainiest, answer quickly!!
Plz don't answer late..
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Please I beg you help me out here this is due in a few hours thank you. Calculate the current in each resistor with current 13A 2ohms 3ohms 4ohms
Answers
The current through each resistor is 13 A.
To calculate the current in each resistor, we can use Ohm's law, which states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them.
In this case, we are given the current and the resistance of each resistor, so we can use Ohm's law to calculate the voltage across each resistor, and then use the current to find the current through each resistor.
Let's start with the first resistor, which has a resistance of 2 ohms:
V = IR
V = (13 A) x (2 ohms)
V = 26 V
Now, we can use the voltage and resistance to find the current through the first resistor:
I = V/R
I = (26 V) / (2 ohms)
I = 13 A
So, the current through the first resistor is also 13 A.
Next, we can repeat the same process for the other two resistors:
For the second resistor with a resistance of 3 ohms:
V = IR
V = (13 A) x (3 ohms)
V = 39 V
I = V/R
I = (39 V) / (3 ohms)
I = 13 A
So, the current through the second resistor is also 13 A.
For the third resistor with a resistance of 4 ohms:
V = IR
V = (13 A) x (4 ohms)
V = 52 V
I = V/R
I = (52 V) / (4 ohms)
I = 13 A
So, the current through the third resistor is also 13 A.
Therefore, the current through each resistor is 13 A.
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Why is an astronical unit used to measure distances in the solar system?
Answers
In our solar system, distances are really great. Therefore, astronomers frequently avoid using miles or kilometers when describing the distances to planets, asteroids, comets, or spacecraft.
What is astronomical unit?They substitute astronomical units, or AU, which represent the typical separation of the Earth from the sun. That translates to around 93 million miles, 150 million kilometers, or 8 light-minutes.
It is simpler to visualize relative distances in space when thinking in terms of astronomical units. An astronomical unit is 92,955,807 miles in exact distance (149,597,871 km).
The orbit of the Earth around the sun is not a complete circle. Consequently, during the year, Earth's distance from the sun varies. Earth is approximately 0.983 AU from the sun when it is at perihelion, which occurs in January.
Therefore, In our solar system, distances are really great. Therefore, astronomers frequently avoid using miles or kilometers when describing the distances to planets, asteroids, comets, or spacecraft.
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Carly rode her bike for 300 meters in 30 seconds. One can calculate her
Answers
Answer:
10
Explanation:
300 ÷ 30 = 10
Answer - 10
Hope this helps!!!
Explain feather and coin experiment (don't copy )
Answers
Answer:
A British scientist Robert Boyal performed an experiment about a feather and coin.
firstly he dropped a coin and a feather simultaneously ( together) in a jar in which the coin reached the bottom first .
again ,
he removed the atmosphere inside the jar by vaacum pump and then he again dropped the feather and coin simultaneously . now both the coin and feather reached the bottom together .
conclusion:
the acceleration produced on a body is the same for all the bodies and it does not depend upon the mass of the falling body.
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any confusion then comment it.
if an inelastic collision takes place, during the collision, what is conserved?
Answers
Answer:
An inelastic collision is a collision in which there is a loss of kinetic energy. While momentum of the system is conserved in an inelastic collision, kinetic energy is not.
Now consider four runners running around the track with the same constant tangential speed, with one runner in each lane of the track. A student in considering using the following equations to determine which runner has the greatest acceleration. Equation 1: V^2x=V^2xo+2Ax(X-X0) Equation 2: Ac=V^2/r Which equation should the student use, and why?answer choicesEquation 1, because the runners all have the same speed.Equation 1, because the different distances traveled by the runners in a complete lap around the track determine which runner has the greatest acceleration.Equation 2, because the acceleration term has already been isolated on the left-hand side of the equation.Equation 2, because the radius of the circular path traveled by a runner determines the acceleration of the runner.
Answers
The equation the student should use is equation 1, because the runners all have the same speed.
first option is the correct answer.
What is centripetal acceleration?The centripetal acceleration of an object is the radial or inward acceleration of an object moving a circular track.
There are several equations which can be used to determine linear acceleration of an object.
One of the equations is given in equation 2;
Vₓ² = V₀² + 2a ( x - x₀ )
where;
Vₓ is the final velocity of the objectV₀ is the initial velocity of the objecta is the acceleration of the objectx is the final displacement of the objectx₀ is the initial displacement of the objectwhen an object is moving at a constant velocity, the final velocity is equal to initial velocity, and the acceleration will become zero. So the equation two cannot be used since the runners are moving at a constant tangential speed.
The only equation that can be used to determine the maximum acceleration of the runner is the equation for centripetal acceleration.
a = v²/r
where;
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A 5.00 A current runs through a 12 gauge copper wire (diameter 2.05 mm) and through a light bulb. Copper has free electrons per cubic meter. (a) How many electrons pass through the light bulb each second? (b) What is the current density in the wire? (c) At what speed does a typical electron pass by any given point in the wire? (d) If you were to use wire of twice the diameter, which of the above answers would change? Would they increase or decrease?
Answers
Answer:
The answer to your problem is, \(3.125 * 10^{19}\) in electrons per second
Explanation:
5A current is passing through the copper wire and the light bulb; it means that 5 Coulombs of charge per second is passing through the wire (as current = coulombs/second). To find the electrons per second, the following formula is used:
Electrons per second =
\(N_{e} = \frac{5}{e} = \frac{5}{1.60-10^{-19} }\)
\(= 3.125 * 10^{19}\)
Thus the answer to your problem is, \(3.125 * 10^{19}\)
2a. A
becomes
jeep starts from it the
starts from it the state of rest. If its
velocity 60m/s and its take 5 minute: what is the accelera
ution of the jeep
the distanced travelled by
the jeep:
Answers
\( \bf \underline{ \underline{Given : }}\)
Initial velocity,u = 0 m/s Final velocity,v = 60 m/s Time taken,t = 5 min = 5 × 60 sec = 300 seconds\( \bf \underline{ \underline{
To \: be \: calculated : }}\)
Calculate the acceleration ( a ) and distance (s ) covered by the jeep.
\( \bf \underline{ \underline{Solution : }}\)
We will first calculate the acceleration of the jeep.
CASE 1 :
By Using first equation of motion ,
\( \sf \: v = u + at\)
\( \sf \star \: Substituting \: the \: values...\)
\( \sf\rightarrow \: 60 = 0 + a \times 300\)
\( \sf \rightarrow \: 60 = 300a\)
\(\sf \rightarrow \: 300a = 60\)
\(\sf \rightarrow \: a = \cancel \dfrac{300}{6} \)
\(\sf \rightarrow \: a = 50 \: m {s}^{ - 2} \)
Thus,the acceleration of the jeep is 50 m/s².
Now, Let us calculate the distance travelled by the jeep.
CASE 2 :
By Using third equation of motion ,
\( \sf {v}^{2} = {u}^{2} + 2as\)
\( \sf \star \: Substituting \: the \: values...\)
\(\sf \rightarrow \: {60}^{2} = {0}^{2} + 2 \times 50 \times s\)
\(\sf \rightarrow \: 3600 = 100s\)
\( \sf \rightarrow \: 100s = 3600\)
\(\sf \rightarrow \: s = \cancel\dfrac{3600}{100} \)
\(\sf \rightarrow \: s = 36 \: m\)
Thus,the distance covered by the jeep is 36 m .
Which of the following is one dimensional
A.
acceleration
B.
velocity
C.
both velocity and acceleration
D.
speed
Answers
Answer:
both velocity and acceleration
Explanation:
answer May be 3
Does the effective thermal conductivity of an insulation system account for heat transfer by conduction alone
Answers
Yes, effective thermal conductivity of an insulation system accounts for heat transfer by conduction.
What do you mean by thermal conductivity?
Thermal conductivity is a property of a material that describes its ability to conduct heat. It is typically measured in units of watts per meter per kelvin (W/m·K). The thermal conductivity of a material is affected by various factors, such as temperature, pressure, and the presence of impurities or defects.
The effective thermal conductivity of an insulation system is a measure of its ability to resist heat transfer by conduction. It does not take into account other forms of heat transfer, such as convection or radiation.
The value of the thermal conductivity is typically measured by determining the rate of heat flow through a sample of the insulation material under specific conditions of temperature and pressure.
The lower the thermal conductivity, the better the insulation's ability to resist heat transfer by conduction.
Hence, effective thermal conductivity of an insulation system accounts for heat transfer.
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Someone please help me to answer this questions...
Answers
Answer:
a.25J
Explanation:
m=0.5kg
g=10
h=5
potential energy=m×g×h
=0.5×10×5
=25J
true/false. a circular field may be induced into a specimen by: passing current directly through the part.
Answers
True. A circular field may be induced into a specimen by passing current directly through the part.
The specimen is often formed in a circular or annular geometry in order to introduce a circular magnetic field into it. The specimen is in close proximity to or in contact with a current-carrying coil or conductor. A magnetic field is created around a conductor or coil as current flows through it, and the magnetic field lines within the specimen take the shape of a circle.
In several applications, circular magnetic field generating is frequently used. Magnetic particle inspection, a non-destructive testing technique used to find surface or near-surface flaws in materials, is one such use. Magnetic particles can be put to the surface of an item by applying a circular magnetic field to it. Any flaws or discontinuities will cause the particles to align or cluster, making them obvious in the right lighting.
In conclusion, it is possible to create a circular magnetic field inside a specimen by directly applying current to it. The non-destructive testing and inspection techniques in particular can use this phenomenon in a variety of industries.
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An eraser is tied to a string swung in a horizontal circle. Identify the type of force which causes this object to travel along a circular path.
Answers
Answer:
A centripetal force
Explanation:
The type of force in the given scenario is tension. The correct option is c.
What is tension force?Tension is defined in physics as the pulling force conveyed axially by a string, cable, loop, or similar material, or by every end of a rod, truss member, or similar three-dimensional object.
Tension can also be defined as the action-reaction pair of forces acting at each end of said elements.
Newton's second law states that the tension in the rope must equal the weight of the backed mass.
Tension, the normal force, and friction are all examples of contact forces.
Since the weight is not moving, the acceleration is zero. Even if the acceleration is not zero, this equals zero.
Thus, the correct option is c.
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Your question seems incomplete, the missing options are:
a) gravityb) appliedc) tensiond) normal