Pick the true statement.In our finite-element solution,A) The error in temperature and heat flux are of the same orderB) The error in temperature is greater than the error in the heat fluxC) The error in temperature is less than the error in the heat flux
Answers
In our finite-element solution the error in temperature is less than the error in the heat flux.
C) The error in temperature is less than the error in the heat flux.
In a finite-element solution, the temperature error is usually of a lower order compared to the heat flux error.
This is because the heat flux is determined by the gradient of the temperature field, and taking the gradient amplifies the error in the solution.
If the finite-element solution is based on the Galerkin approach, then the statement "the error in temperature is less than the error in the heat flux" is generally true.
This is because the Galerkin approach typically leads to more accurate solutions for the temperature field compared to the heat flux field.
Therefore, option C would be the correct answer in this case.
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Related Questions
A person, of weight mg, is standing on a scale in an elevator. What will the
scale read when the elevator accelerates upward?
A. More than mg
B. Less than mg
C. Equal to mg
D. Cannot tell what the scale will read.
Answers
more than mg
Explanation:
the pressure
Which functional group contributes negative charge.
Answers
Any functional group that contributes negative charge must have a lone pair of electrons.
What is a functional group?The term functional group refers to an atom, group of atoms or a bond that is responsible for the chemical reactivity of the homologous series. A homologous series is any family of compounds.
The question is incomplete. However, any functional group that contributes negative charge must have a lone pair of electrons like amines.
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Calculate the mass (g) of silver chloride formed when 215 g of silver sulfide reacts with excess hydrochloric acid. h2s (g) is also formed in the reaction.
Answers
When silver sulfide (Ag2S) reacts with hydrochloric acid (HCl), it forms silver chloride (AgCl) and hydrogen sulfide gas (H2S). To calculate the mass of silver chloride formed, we need to use the balanced chemical equation and the molar masses of the compounds involved.
The balanced chemical equation for the reaction is:
Ag2S + 2HCl → 2AgCl + H2S
From the equation, we can see that 1 mole of silver sulfide reacts to form 2 moles of silver chloride. To find the number of moles of silver chloride formed, we need to convert the mass of silver sulfide given (215 g) into moles.
First, find the molar mass of silver sulfide:
Ag2S = 2(107.87 g/mol) + 32.07 g/mol = 247.61 g/mol
Now, calculate the number of moles of silver sulfide:
Moles of Ag2S = Mass of Ag2S / Molar mass of Ag2S
Moles of Ag2S = 215 g / 247.61 g/mol ≈ 0.868 mol
Since 1 mole of silver sulfide forms 2 moles of silver chloride, the number of moles of silver chloride formed is double that of silver sulfide. Therefore, the moles of silver chloride formed is:
Moles of AgCl = 2 × Moles of Ag2S
Moles of AgCl = 2 × 0.868 mol = 1.736 mol
To calculate the mass of silver chloride formed, multiply the number of moles by its molar mass:
Mass of AgCl = Moles of AgCl × Molar mass of AgCl
Mass of AgCl = 1.736 mol × (107.87 g/mol) = 187.32 g
Therefore, the mass of silver chloride formed when 215 g of silver sulfide reacts with excess hydrochloric acid is approximately 187.32 grams.
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A ball rolls off a table and it traveling with a horizontal velocity of 2 m/s and 1 point
has a final vertical velocity of 3 m/s just before it hits the ground. How far
from the base of the table did the ball hit the ground?
Answers
Answer:
The velocity when the ball hits the ground is obtained using v2. 2 = v1. 2 + 2 g Dy with v1=0 and Dy=h. Thus solving for v2 yields 17.1 m/s v2 = 2 g h =.
21 pages·330 KB
Answer:
I e jofh ndoj eohe nc n very nic e
How far does a bycicle traveling at 1.5m/s travel in 15 Seconds
Answers
A bicycle travels 22.5 meters in distance when travelling at 1.5 m/s in speed and in 15 seconds.
To determine how far a bicycle traveling at a speed of 1.5 meters per second would travel in a time of 15 seconds, we can use the formula for distance traveled, which is given by the product of the speed and time. The speed of the bicycle is given as 1.5 meters per second, which means that it covers a distance of 1.5 meters in one second. Therefore, in 15 seconds, the bicycle would cover a distance equal to the product of its speed and time, which can be calculated as follows:
distance = speed × time
distance = 1.5 m/s × 15 s
distance = 22.5 meters
Hence, the bicycle traveling at a speed of 1.5 meters per second would cover a distance of 22.5 meters in a time of 15 seconds. This calculation is important in determining the distance covered by the bicycle, which is useful for various purposes such as estimating travel time, planning routes, and evaluating performance in cycling.
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The resistance of a component can be found by measuring the potential difference across it and the __________ that travelled through it. What word completes the sentence?
Answers
Answer:
polarity completes the sentence
In a 92 s interval, 562 hailstones strike a glasswindow of area 1.216 m² at an angle 64° to thewindow surface. Each hailstone has a mass of2 g and speed of 5.8 m/s.If the collisions are elastic, find the averageforce on the window.Answer in units of N.
Answers
Given that the number of hailstones is n = 562
The mass of hailstone is m = 2 g = 0.002 kg
The speed of hailstone is v = 5.8 m/s
The time taken will be t = 92 s
The angle is
\(\theta=64^{\circ}\)We have to calculate the force.
The force can be calculated by the formula
\(\begin{gathered} F=\text{ force due to one hailstone }\times numberofhailstones\text{ } \\ =m\frac{v}{t}\sin \theta\times n \end{gathered}\)Substituting the values, the force will be
\(\begin{gathered} F=\text{ }\frac{\text{0.002}\times5.8\times\sin 64^{\circ}\times562}{92} \\ =0.063\text{ N} \end{gathered}\)A proton is to orbit Earth at the equator using Earth's magnetic field to supply part of the necessary centripetal force. In what direction should the proton move
Answers
EXPLANATION:
The direction of is towards down and the centripetal force is towards down. So, the proton must move towards west in order to orbit earth.
A car accelerates uniformly in a straight line
from rest at the rate of 2.8 m/s^2.
What is the speed of the car after it has
traveled 69 m?
Answer in units of m/s.
Answers
Recall that
\({v_f}^2={v_i}^2=2a\Delta x\)
The car starts from rest, so \(v_i=0\), and we get
\({v_f}^2=2\left(2.8\dfrac{\rm m}{\mathrm s^2}\right)(69\,\mathrm m)\implies v_f\approx19.66\dfrac{\rm m}{\rm s}\)
Casting 10.5:
A cylinder with a diameter of 1.0 in. and a height of 3 in. solidifies in three minutes in a sand casting operation. What is the solidification time if the cylinder height is doubled? What is the time if the diameter is doubled?
Answers
The height is 1.49 minutes, and the solidification time for a cylinder with double the diameter is 1.88 minutes.
Casting 10.5 requires knowledge of the Chvorinov's rule, which provides a mathematical relationship between the solidification time of a casting and its volume-to-surface area ratio. The rule states that:
t = C * V^m / A
where:
t = solidification time
C = a constant that depends on the casting material and the mold material
V = volume of the casting
A = surface area of the casting
m = a constant that depends on the shape of the casting
For a cylinder with a diameter of 1.0 in. and a height of 3 in., the volume and surface area can be calculated as:
V = π * (d/2)^2 * h = 0.589 in^3
A = π * d * h = 9.424 in^2
To calculate the solidification time for the given casting, we need to know the values of C and m. These values are typically determined experimentally for a given material and mold. For the purposes of this problem, we will assume that C = 2.5 and m = 2.
Using these values, we can calculate the solidification time for the given casting as:
t = 2.5 * V^2 / A = 0.94 minutes
Now, to calculate the solidification time for a cylinder with double the height, we simply need to double the volume while keeping the surface area constant:
V' = π * (d/2)^2 * 2h = 1.178 in^3
A' = A = 9.424 in^2
Using the same values of C and m, the solidification time for the doubled-height cylinder can be calculated as:
t' = 2.5 * V'^2 / A' = 1.49 minutes
Similarly, to calculate the solidification time for a cylinder with double the diameter, we need to quadruple the volume while doubling the surface area:
V'' = π * (d)^2 * h = 2.356 in^3
A'' = 2 * A = 18.849 in^2
Using the same values of C and m, the solidification time for the doubled-diameter cylinder can be calculated as:
t'' = 2.5 * V''^2 / A'' = 1.88 minutes
Therefore, the solidification time for a cylinder with double the height is 1.49 minutes, and the solidification time for a cylinder with double the diameter is 1.88 minutes.
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DC current is less than AC current
true\false
Answers
Answer:
False
Explanation:
.......................
Hope this help you
Which part of a tidal power plant is the tidal water pushed through to generate electricity? barrage boat dam turbine
Answers
Answer:
turbine
Explanation:
Tidal energy is produced in the Tidal power plant to produce electricity. The kinetic energy is produced because of the energy of the tides in the form of moving water. This energy is converted into electricity with the help of power turbines. The turbine plays an important role in the production of electricity. The fluid that is used in the turbine contains potential energy. The moving turbine converts the potential energy to kinetic energy and the energy is collected in the form of electricity.
Answer:
turbine
Explanation:
took the test
Jessica is riding on a merry-go-round on an outer horse that sits at a distance
of 8.0 m from the center of the ride. Jessica's sister, Julie, is on an inner horse
located 6.0 m from the ride's center. The merry-go-round turns around once
every 40.0 s. a) Explain which girl is moving with the greater linear speed.
b) What is the centripetal acceleration of Julie and her horse?
Answers
a. Jessica's has a greater linear speed.
b. The centripetal acceleration of Julie and her horse is 0.148 m/s².
a) Explain which girl is moving with the greater linear speed.Jessica's has a greater linear speed.
To answer the question, we need to know what Linear speed is.
What is linear speed?This is the tangential speed at which an object in circular motion moves. It is given by v = rω where
r = distance of object from center of circle and ω = angular speed.Now, given that Jessica is riding on a merry-go-round on an outer horse that sits at a distance of 8.0 m from the center of the ride and Jessica's sister, Julie, is on an inner horse located 6.0 m from the ride's center. Also, the merry-go-round is moving at constant angular speed.
Since Linear speed v = rω and ω = constant,
So, v ∝ r.
So, the girl with the greater distance from the center of the merry-go-round would have the greater linear speed.
Since
Jessica is at r' = 8.0 m and Julie is at r" = 6.0 m.Since
v ∝ r, and r' = 8.0 m > r" = 6.0 m,So, Jessica's has a greater linear speed.
b) What is the centripetal acceleration of Julie and her horse?The centripetal acceleration of Julie and her horse is 0.148 m/s².
Centripetal acceleration a = rω² where
r = distance of Julie from center of merry-go-round = 6.0 m and ω = angular speed of merry go round.Since the merry-go-round turns once every 40.0 s, we have that ω = 2π/40.0 s
= π/20.0 s
= 0.157 rad/s
Since a = rω²
Substituting the values of the variables into the equation, we have
a = rω²
a = 6.0 m × (0.157 rad/s)²
a = 6.0 m × 0.0247 rad²/s²
a = 0.148 m/s²
So, the centripetal acceleration of Julie and her horse is 0.148 m/s².
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Students conduct an experiment to study the motion of two toy rockets. In the first experiment, rocket X of mass mR is launched vertically upward with an initial speed v0 at time t=0. The rocket continues upward until it reaches its maximum height at time t1. As the rocket travels upward, frictional forces are considered to be negligible. The rocket then descends vertically downward until it reaches the ground at time t2. The figure above shows the toy rocket at different times of its flight. In a second experiment, which has not yet been conducted by the students, rocket Y of mass MR, where MR>mR, will be launched vertically upward with an initial speed v0 at time t=0 until it reaches its maximum height. Rocket Y will then descend vertically downward until it reaches the ground.
Answers
In the second experiment, rocket Y with a greater mass will follow a similar trajectory as rocket X, reaching the same maximum height and descending vertically downward.
The motion of objects in the absence of external forces is governed by the principles of conservation of energy and conservation of momentum. In the first experiment, rocket X is launched vertically upward, reaching a maximum height, and then descends vertically downward until it reaches the ground. The absence of frictional forces allows for the conservation of energy throughout the motion.
In the second experiment, rocket Y has a greater mass than rocket X. However, since frictional forces are still considered to be negligible, both rockets will experience the same gravitational force and have the same initial speed. As a result, rocket Y will also reach the same maximum height as rocket X, following an identical trajectory.
The greater mass of rocket Y does not affect its ability to reach the same height as rocket X because the force of gravity acts equally on both rockets. The difference in mass only impacts the acceleration of the rockets but does not affect the height they can reach in a purely gravitational field.
In summary, in the second experiment, rocket Y with a greater mass will follow the same trajectory as rocket X, reaching the same maximum height and descending vertically downward.
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a wire with fundamental frequency 357 hz and length 0.54 m is under tension of 1,373 n. calculate the wire's mass per unit length in grams/meter.
Answers
When fundamental frequency, length and tension is given then the wire's mass per unit length is 9.23 * 10 ^-3 g/m.
What is fundamental frequency?The fundamental frequency is defined as the lowest frequency of a periodic waveform. Fundamental frequency is defined as the average number of oscillations per second and is expressed in Hertz.
Given ; length , l= 0.54m Tension, T = 1373N
Frequency , f = 357 Hz
f= (1/2l)*(√T/m)
m = T/(4l² f²)
= 1373/(2*0.54² * 357²)
m= 9.23 * 10 ^-3 g/m
The wire's mass per unit length in grams/meter is 9.23 * 10 ^-3 g/m.
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What is time dilation? Is that a thing only in the movies? I need a good explanation that is simple enough for me
Answers
a wave that travels from a medium of lower index of refraction to a medium of higher index of refraction undergoes 180° phase changes relative to the incident wave. true false
Answers
The statement given "a wave that travels from a medium of lower index of refraction to a medium of higher index of refraction undergoes 180° phase changes relative to the incident wave." is false because when a wave travels from a medium of lower index of refraction to a medium of higher index of refraction, it undergoes a phase change of 0° or a phase shift of less than 180° relative to the incident wave.
The phase change depends on the refractive indices of the two media and the angle of incidence. In general, when light passes from a less dense medium (lower index of refraction) to a denser medium (higher index of refraction), the wavefronts slow down and bend towards the normal, causing a change in direction but not necessarily a 180° phase change. The amount of phase change depends on the specific conditions of the interface between the two media.
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(a)(i) A galaxy moves away from the Earth at a speed of 3.9 × 104 km/s.
The speed of light is 3.0 × 105 km/s.
Light from the galaxy is emitted with a wavelength of 6.2 × 10−7 m.
Calculate the change in the wavelength of the light that is received by an observer on the Earth.
(ii) Calculate the wavelength of the light that is received by the observer on the Earth.
(b)One of the pieces of evidence for the Big Bang theory is the red-shift of galaxies. Explain how the red-shift of galaxies supports the Big Bang theory.
Answers
Wavelength of the light that is received by the observer on the Earth is 5.4 x 10⁻⁷m.
a) Speed of the galaxy, v = 3.9 x 10⁴ m/s
Speed of light, c = 3 x 10⁵ m/s
Wavelength of the light emitted from the galaxy, λ = 6.2 x 10⁻⁷m
(i) The expression for the change in wavelength of the light that is received by the observer on the Earth is given by,
Δλ = (v/c)λ
Δλ = (3.9 x 10⁴/3 x 10⁵) 6.2 x 10⁻⁷
Δλ = 8.06 x 10⁻⁸m
(ii) Wavelength of the light that is received by the observer on the Earth,
λ' = λ - Δλ
λ' = 5.4 x 10⁻⁷m
b) Redshifts have been observed for almost all galaxies. When light from far-off galaxies travels from the galaxy to our telescopes, it is stretched (made redder) by the universe's expansion, which is known as "cosmological redshift".
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if the jet in ngc 5128 is traveling at 5000 km/s and is 40 kpc long, how long will it take for gas to travel from the core of the galaxy to the end of the jet?
Answers
It would take approximately 2.4688 × 10^17 seconds or 7.82 million years for gas to travel from the core of the galaxy to the end of the jet, assuming a constant speed of 5000 km/s.
To calculate the time it would take for gas to travel from the core of the galaxy to the end of the jet, we need to use the formula: time = distance / speed.
Given that the jet in NGC 5128 is traveling at 5000 km/s and is 40 kpc (kiloparsecs) long, we first need to convert the distance from kpc to km. 1 kpc = 3.086 × 10^16 meters, which means 1 kpc = 3.086 × 10^19 km.
Therefore, the length of the jet in kilometers is 40 x 3.086 × 10^19 km = 1.2344 × 10^21 km.
Now we can calculate the time it would take for gas to travel from the core of the galaxy to the end of the jet as follows:
time = distance / speed
time = 1.2344 × 10^21 km / 5000 km/s
time = 2.4688 × 10^17 seconds
So, it would take approximately 2.4688 × 10^17 seconds or 7.82 million years for gas to travel from the core of the galaxy to the end of the jet, assuming a constant speed of 5000 km/s.
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which of the following includes an example of a chemical property of an element?
a. aluminum is solid at room temperature
b. sulfur is not shiny and is not malleable
c. sodium is a solid at room temperature and reacts to other elements.
d. silicone is shiny and is a poor conducted of electricity
Answers
Answer:
d. silicone is shiny and is a poor conducted of electricity
The best option that describes an example of a chemical property of an element is silicone is shiny and is a poor conductor of electricity. Option D is correct.
The chemical properties of elements are those properties that are noticeable during the course of a chemical reaction.
Aluminum is solid but not at room temperature. The elements that are solid at room temperature are iron, zinc, gold, and silver. Hence option is incorrect. The same is applicable to options B and C.
The best option that describes an example of a chemical property of an element is silicone is shiny and is a poor conductor of electricity
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what is the power dissipated by a toaster that has a resistance of 20 ohms plugged into a 120-v outlet?
Answers
The power dissipated by a toaster that has a resistance of 20 ohms plugged into a 120-v outlet is 720W.
Given the resistance of toaster (R) = 20 ohms
Potential of toaster (V) = 120V
The expression for the power in terms of resistance and potential is as follows; P = V^2/R where V is the potential, P is the power and R is the resistance.
P = 120x120/20 = 720W
Therefore, the value of the power dissipation is 720 W.
The process of losing energy as heat as a result of primary activity is known as power dissipation. Power dissipation happens frequently in nature. Power will be lost through the entire circuit's resistors that have a voltage drop across them.
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irving is running cable underground beside his driveway to power a light at his entrance. what type of cable is he most likely using?
Answers
Irving is most likely using a buried electrical cable to power the light at his entrance.
He is used a buried electrical cable.
The type of cable he is using is determined by the requirements of the specific application, including the power needed to be carried, the location and environment of the cable, and any electrical codes or regulations that apply.
In the case of an underground electrical cable for lighting, the most common type of cable used is a low voltage (12-24 V) direct burial cable, made of copper or aluminum wires encased in a protective insulation. This type of cable is specifically designed to be buried underground and is resistant to moisture, chemicals, and temperature changes. It is also available in various lengths and gauges, which can be selected to match the required power load of the light.
If the light requires higher voltage power, then a high voltage (120-240 V) direct burial cable, also made of copper or aluminum, may be used. However, it will require a conduit or protective casing to be buried with it, to prevent damage to the cable and to ensure safety for workers and equipment.
It is important to note that the selection of an appropriate cable and the installation process must comply with local electrical codes and regulations, as well as any specific safety requirements for underground installations. A licensed electrician should be consulted to determine the best type of cable and installation methods for a specific application.
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PLEASE DO THIS SCIENCE QUESTION I WILL MARK YOU THE BRAINLIEST NO LINKS
Answers
Answer:
Float
Explanation:
The objects weight 14n and the buoyant force is 12n, so it will sink because the weight is greater than the buoyant force.
Equation: p = m/v
On the moon, the acceleration of gravity is 1.6 m/s2. If an object has a
mass on Earth of 5.1 kg, what is its mass on the moon?
Answers
Answer:
5.1 kg
Explanation:
Its mass on the moon is 5.1 kg because mass is an intrinsic property of a material and does not change with location. Although, its weight might vary because its acceleration of gravity g is dependent on the mass M and radius r of the planet(in this case, moon) involved g = GM/r². Since weight W = mg is dependent o g, weight varies but mass remains constant.
two circular disks spaced 0.50 mm apart form a parallel-plate capacitor. transferring 4.50×109 electrons from one disk to the other causes the electric field strength to be 4.00×105 n/c.
Answers
The diameter of the disk at the given electrons is 6.9 mm.
The total charge of the capacitor is calculated as:
Q = nq
Q = 4.50×10⁹×1.6×10⁻¹⁹
Q = 7.2×10⁻¹⁰ C
The potential difference between the disk is:
V = Ed
v = 4 ×10⁵×0.50×10⁻³
V = 200 V
The capacitance of the capacitor is :
C = Q/V
C = 7.2×10⁻¹⁰/200
C = 7.2×10⁻¹² F
The area of the disk is :
C = (∈₀A)/d
A = (Cd)/∈₀
A = (7.2×10⁻¹²×0.5×10⁻³)/8.85×10⁻¹²
A = 0.0000406 \(m^{2}\)
The diameter of disk is :
A = (πd²)/4
d = \(\sqrt{4A}\)/π
d = \(\sqrt{4X0.0000406}\)/π
d = 0.0069 m
d = 6.9 mm
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Given a graph of volocity v . Time what does a horizontal line represent
Answers
Answer:
Acceleration
Explanation:
For example, if the acceleration is zero, then the velocity-time graph is a horizontal line (i.e., the slope is zero). If the acceleration is positive, then the line is an upward sloping line (i.e., the slope is positive).
if an object has a smaller density than water, will the object stay fully submerged, partly submerged, or rise completely out of the water when it is released underwater
Answers
If an object has a smaller density than water, it will partially submerge in water. This is because of Archimedes' principle, which states that an object will float in a fluid if its weight is less than or equal to the weight of the fluid displaced by the object.
If the object's density is less than that of water, it will displace a volume of water that weighs more than the object, causing it to float partially.
The extent to which the object will submerge depends on the difference between its density and that of water. If the difference is small, the object will float only slightly below the surface of the water. On the other hand, if the object's density is much less than that of water, it will float high above the surface of the water, partially submerged.
It is worth noting that an object with a density that is much less than that of water will eventually rise to the surface of the water. This is because the buoyant force acting on the object increases as the object rises, eventually exceeding the object's weight and causing it to float to the surface.
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a current-carrying wire of length 50 cm is positioned perpendicular to a uniform magnetic field. if the current is 10.0 a and it is determined that there is a resultant force of 3.0 n on the wire due to the interaction of the current and field, what is the magnetic field strength?
Answers
Therefore, the magnetic field strength is 0.6 Tesla. The magnetic field strength can be calculated using the formula F = BIL, where F is the resultant force, B is the magnetic field strength, I is the current, and L is the length of the wire. Rearranging the formula to solve for B, we get B = F/(IL).
Given that the current is 10.0 A and the length of the wire is 50 cm (or 0.5 m), and the resultant force is 3.0 N, we can plug these values into the formula to get the magnetic field strength:
B = 3.0 N / (10.0 A x 0.5 m) = 0.6 T
Therefore, the magnetic field strength is 0.6 Tesla.
The magnetic field strength can be calculated using the formula F = BIL, where F is the resultant force, B is the magnetic field strength, I is the current, and L is the length of the wire. Rearranging the formula to solve for B, we get B = F/(IL).
Given that the current is 10.0 A and the length of the wire is 50 cm (or 0.5 m), and the resultant force is 3.0 N, we can plug these values into the formula to get the magnetic field strength:
B = 3.0 N / (10.0 A x 0.5 m) = 0.6 T
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A transformer has 200.0 turns in its secondary coil and 120.0 turns in its primary coils. The primary coil is connected to a 80.00 V power supply. If 3.50 A flows in the primary coil, then how much current is there in the secondary coil
Answers
No.of primary turns/no.of secondary equal to current in primary /current in secondary therefore 200/120=3.50/C.in secondary =2.1A
A student walks 5 meters east, 6 meters
west, and then 10 meters east again.
Calculate his total distance that he
travels? Is this a scalar or vector
quantity.