in units of the time constant, after how much time will the self-induced emf be just one-half of the battery emf?
Answers
Self-induced emf after two L/R time constants have passed in 2.16536 V. The self-induced emf will be just one-half of the battery emf at a time equal to one time constant.
A) emf of battery ε = 16 V
R = 0.410 Ω
L = 0.082 H
τ = L / R
= 0.082 / 0.410
= 0.2 s
Self inductance emf
\(\epsilon L = - L dI / dt \\ dI / dt = ( \epsilon / L ) e -t/ \tau \\ \epsilon L = - L ( ( \epsilon / L ) e -t/ \tau )\\ = - \epsilon e -t/ \tau \\\)
B) Once two L/R time constants have elapsed, through self-induced emf
t = 2 τ
ε L = - ε e -t/ τ
= - ε e -2τ / τ
= - 16 e -2
= - 16 * 0.13533
= 2.16536 V
C) To see why, we can rearrange the formula for the current in an RL circuit:
\(I = I_f(1 - e^{-t/\tau})\)
When \(t = \tau\), we have:
\(I = I_f(1 - e^{-1}) \approx 0.632 I_f$\)
EMF stands for Electromotive Force, which is the electrical potential difference or voltage produced by a source such as a battery, generator, or alternator. It is the force that drives electrons to flow through a circuit and produce an electric current. EMF is measured in volts (V) and is a fundamental concept in electrical engineering and physics. It plays a vital role in the operation of many electrical devices and systems, including electronic circuits, power distribution systems, and electric motors.
EMF can also have adverse effects on human health and the environment. Exposure to high levels of electromagnetic fields (EMFs) has been linked to various health concerns, including cancer, reproductive problems, and neurological disorders. As a result, EMF safety guidelines and regulations have been established to protect human health and the environment from excessive exposure to EMFs.
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Complete Question:-
A. With a battery emf of 16.0 V in the RL circuit ( R=0.410 Ω and L= 82.0 mH), what is the self-induced emf when the switch has just been closed on a?
B. What is the self-induced emf after two L/R time constants have passed?
C. In units of the time constant when will the self-induced emf be just one-half of the battery emf?
Related Questions
An atom is the most basic particle that represents what type of matter?
OA. Element
OB. Compound
OC. Crystal
OD. Mixture
Answers
Answer:
b
Explanation:
The half-life of iodine-131 is 8.07 days. If 0.25 g are left after 40.35 days, how many gramswere in the original sample?
Answers
Given data
*The half-life of iodine-131 is t = 8.07 days
*The amount of quantity left is N = 0.25 g
*The number of days is T = 40.35 days
The expression for the radioactivity decay is given as
\(N=N_0(\frac{1}{2})^{\frac{T}{t}}\)Substitute the values in the above expression as
\(\begin{gathered} \text{0}.25=N_0(\frac{1}{2})^{\frac{40.35}{8.07}} \\ N_0=8\text{ g} \end{gathered}\)Answer:
See below
Explanation:
40.35 days / (8.07 day per half life) = 5 half lives
.25 = x ( 1/2)^5
.25 / ( 1/2)^5 = x = 8 gm originally
What is the period of a wave with a wavelength of 8 cm and a frequency of 0.5 hertz?(1 point)
0.125 seconds
2 seconds
4 seconds
0.0625 seconds
Answers
Answer:2 seconds
Explanation:
How are the electric field lines around a positive charge affected when a second positive charge is near it?
Answers
Answer:Because it likes to repel and attract opposites
Supriya has a pre-paid electricity connection at home. On a sultry Sunday afternoon, she checks that she only has ₹9 left in the balance. She wants to use the air conditioner (AC), rated at 1.2 kW. The price of electricity is ₹10 /unit in her area. How long can she run the AC before her balance is over and the power runs out?
Answers
Answer: 0.75 hour(s) or 45 minutes
Explanation:
1 unit of electricity = 1kwh
Amount of energy consumed by 1kw load in one hour
Price per unit = ₹10
Air conditioner rating(power) = 1.2Kw
Given that balance = ₹9
Therefore, supriya's total energy cost = energy balance = ₹9
Total energy cost = power in kilowatt × time of operation (in hour) × cost per unit
₹9 = 1.2kw × time × ₹10
₹9 = 12 × time
Time = 9 / 12
Time = 0.75 hours
0.75 × 60 = 45 minutes
Find the moments of inertia Ix, Iy, I0 for a lamina that occupies the part of the disk x2 y2 ≤ 36 in the first quadrant if the density at any point is proportional to the square of its distance from the origin. (Assume that the coefficient of proportionality is k. )
Answers
To find the moments of inertia Ix, Iy, I0 for the given lamina, we first need to calculate its mass and centroid. The density at any point is proportional to the square of its distance from the origin,
so the mass element dm can be expressed as kr^2dA, where k is the coefficient of proportionality, r is the distance from the origin, and dA is the differential area element. Using polar coordinates, we can express the given region as 0 ≤ r ≤ 6 and 0 ≤ θ ≤ π/2. Integrating dm over this region, we get the total mass of the lamina as: M = ∫∫ kr^2dA = k ∫∫ r^2dA = k ∫θ=0..π/2 ∫r=0..6 r^2r dr d = k ∫θ=0..π/2 [r^4/4]_r=0..6 dθ = (3/5)πk(6^5) To find the centroid of the lamina, we can use the formulae: x_c = (1/M) ∫∫ xdm, y_c = (1/M) ∫∫ ydm Simplifying, we get: x_c = (1/M) k ∫∫ xr^2dA, y_c = (1/M) k ∫∫ yr^2dA.
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Block m₁ has a mass of 4.0 kg and m₂ has a mass of 2.0 kg. The coefficient of friction between m₂ and the horizontal plane is 0.50. The inclined plane is smooth. Find (a) the tension in the string and (b) the acceleration of the blocks.
Answers
The free body diagram for block 2 is:
(Notice how we establsh the postive x-direction to the left since we expect the block to move to the left)
Now for block 1 we have:
(Once again we establish the positive x-direction to the left)
The equations of motion for block 1 are:
\(W_1\sin \theta-T=m_1a\)\(N_1-W_1\cos \theta=0\)The equations for block 2 are:
\(T-F_f=m_2a\)\(N_2-W_2=0\)We know that the force of friction is equalt to the coefficient of friction multiplied by the normal force, then for the second block we have:
\(T-\mu W_2=m_2a_{}\)With this we have the following system for the unknowns:
\(\begin{gathered} W_1\sin \theta-T=m_1a_{} \\ T-\mu W_2=m_2a \end{gathered}\)From the first equation we have that:
\(T=W_1\sin \theta-m_1a\)plugging this in the second equation we have:
\(\begin{gathered} W_1\sin \theta-m_1a-\mu W_2=m_2a \\ W_1\sin \theta-\mu W_2=m_1a+m_2a \\ a=\frac{W_1\sin 30-\mu W_2}{m_1+m_2} \\ a=\frac{(4)(9.8)\sin 30-(0.5)(2)(9.8)}{4+2} \\ a=1.63 \end{gathered}\)Therefore the acceleration is 1.63 meters per second per second. (Notice how it is positive, this means that the blocks move to the left as we expected)
Now we plug the value of the acceleration for the equation for the tension:
\(\begin{gathered} T=(4)(9.8)\sin 30-(4)(1.63) \\ T=13.07 \end{gathered}\)Therefore the tension is 13.07 N
-Three positive things about meditation?
-Why is it important?
-Three reasons why you should not eat junk food?
Answers
There are three positive things about meditation:
Gaining a new perspective on stressful situations.Building skills to manage your stress.Increasing self-awareness.Meditation helps you manage anxiety, stress, and depression.
There are three reasons you should not eat junk food:
One of the most common and perceivable effects of junk food is a rise in obesity in an individual.Learning and memory problems. Loss of appetite and digestion.
Meditation can increase alertness and focus but extremes can lead to insomnia and other sleep disorders. I also found it high Meditation is the habitual process of training the mind to focus and redirect one's thoughts. Meditation is growing in popularity as more people discover its many health benefits. You can use it to increase awareness of yourself and those around you.
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A 70 Newton dog ran across the yard. What do we know about the dog?
The dog's volume
The dog's weight
The dog's mass
The dog's acceleration
Answers
When 70 Newton dog ran across the yard. we know The dog's weight. Hence option B is correct.
What is Newton's second law of motion. ?Force(F) applied on the body is mass(m) times its acceleration(a). i.e. F=ma according to this equation we get acceleration as a = this equation says that when we apply more force to the body, more acceleration it gets. When more is the mass of the body, greater force is needed to accelerate with same amount to that less mass.
70N dog means it is his weight, from which we can calculate its mass, by relation F = mg where g is acceleration due to gravity.
Hence for objective option B is correct, and for MSQ Both B and C is correct.
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PLS HELP. PLEASE. What is the role of DNA in determining an organism’s traits?
Answer using these words: DNA, chromosome, gene, allele, dominant, recessive
Answers
Answer:
DNA contains the instructions needed for an organism to develop, survive and reproduce. To carry out these functions, DNA sequences must be converted into messages that can be used to produce proteins, which are the complex molecules that do most of the work in our bodies
Which of these is an example of work being done on an object a. Holding a heavy piece of wood at a construction site. b. Trying to push a car that doesn't move out of deep snow. c. Pushing a child on a swing. d. Holding a door shut on a windy day so it doesn't blow open.
Answers
Answer:
I would say the best choice, would be Choice C.
For all of these scenarios a force is being applied to displace an object. But the displacement occur in the case of trying to push a car and pushing a child on a swing. Thus, options b and c are correct.
What is work done?Work done in physics is the dot product of force and displacement. Therefore, every work done is associated with a force but not all force result in work done. Those force, which result in a displacement will do work done.
Holding a heavy piece of wood does not make a displacement in the object. Similarly, when we hold the door to stop we just apply a force and not displacing the door. In both cases work done is zero.
When we push a car to make it move and any movement from the side of the car result in a work done. Similarly in when we push a child in a swing we make the swing move a distance by applying force. Thus work is being done on the object.
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Initial State: Ball at rest at top of ramp.
Final State: Ball in motion at bottom of the ramp.
Notes: The system includes the ball and earth. Resistance forces are negligible.
Answers
Answer:
Initial: bring ek, eg and ech all to 2, in the end bring ek, eg up to 3 each
Explanation:
The initial state of the ball, the effect the ball might have on the Earth, and the balls final state. Ek stands for kinetic energy, Eg stands for gravitational potential energy, and Ech stands for chemical change (stored energy in food/fuel), Eint stands for internal energy change.
What is the kinetic energy and potential energy?Kinetic energy is the type of energy present in a body due to the property of its motion and potential energy is the kind of energy present in a body due to the property of its state.
Kinetic energy can be easily transferred from one body to another but potential energy is not transferable. Kinetic energy is relative with respect to nature and potential energy is non-relative with respect to nature.
As the ball is rolling down a ramp, its potential energy decreases and kinetic energy increases. The ball has the maximum potential energy when it is at the top, and this potential energy is transformed into both translational and rotational kinetic energy as it rolls down.
When the ball is at the topmost height, its gravitational potential energy is maximum and zero kinetic energy. When a ball reaches the bottom of the ramp, it will have zero potential energy and maximum kinetic energy.
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2. At 6:00 AM a hopital ued it cyclotron to make 1 milligram of the iotope fluorine-18 for ue a a diagnotic tool with it PET canner. The half-life of F-18 i 1. 8 hour. How much F-18 i left at 3:00 PM? At midnight? Should the hopital plan to make more F-18 the next morning?
Answers
Cyclotron to make 1 milligram of the isotope fluorine-18 for use a a diagnostic tool with it PET scanner. It seems that the hospital should plan to make more F-18 the next morning, as the amount remaining at midnight is very small.
The half-life of F-18 is 1.8 hours, so after 1.8 hours, half of the original amount of F-18 will remain. After 3.6 hours, a quarter of the original amount will remain, and so on.
At 3:00 PM (9 hours after the F-18 was made), the hospital will have
= 1/2^(9/1.8)
= 1/2^5
= 1/32
= approximately 0.03125 milligrams of F-18 remaining.
At midnight (18 hours after the F-18 was made), the hospital will have
= 1/2^(18/1.8)
= 1/2^10
= 1/1024
= approximately 0.0009765625 milligrams of F-18 remaining.
While using cyclotron, based on these calculations, it seems that the hospital should plan to make more F-18 the next morning, as the amount remaining at midnight is very small.
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Someone please help me, I know I already asked a question please don't think I not smart, but
#1. How are potential and kinetic energy related?
#2. How are sounds made?
Answers
Answer:
PE is related to the ability to do work, If an item is sitting on a shelf
it has potential energy relative to its position on the floor, However, if the object were to fall it would hit the floor with a KE equal to the PE that it had sitting on the shelf.
Sounds are caused by compressional waves in the air - when a piano key is struck or a TV is turned on, then compressional waves are produced in the surrounding air due to a disturbance. The human ear recognizes the disturbed air as due to the object that created the disturbance.
The coefficient of sliding friction on concrete is 0.30. what weight of steel can be pulled across a concrete floor by a winch with a capacity of 450 lbs?
Answers
The weight of steel can be pulled across a concrete floor by a winch with a capacity of 450 lbs to 1500 lb.
Around 7850 kg/m3, or 7.85 g/cm3, or 490 lbs/ft3, or 13231 lbs/yd3, is the unit weight of steel. The primary usage of the steel bars is as reinforcement to increase the tensile strength of concrete constructions. The weight of steel is typically expressed in kilogrammes, tonnes, and pounds.
Calculate the amount of steel in the slab as 1% of the concrete volume (0.01 x 7850 x 3 = 236kg):
Using the Thumb Rule Given that steel has a density of 7850 kg/m3, the amount of steel needed for an RCC slab should be 1% of the entire volume of concrete, or 236 kg.
The unit weight of structural steel is taken to be 7850 kg/m3 or 78.50 kN/m3 or 7.85 g/cm3 or 490 lbs/ft3 or 13,231 lbs/yd3 according to IS code and Indian standard.
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Which of these locations is most likely to have the youngest rocks? a. the middle of a continent b. a mid ocean ridge c. an abyssal plain of an ocean basin
d. the top of a mountain range
Answers
The locations which is most likely to have the youngest rocks will be the mid-oceanic ridge. Thus, the correct option is B.
What is the Mid-oceanic ridge?A mid-ocean ridge is a seafloor mountain system which is formed by the plate tectonics. It typically has a depth of about 2,600 meters and also rises about the level of 2,000 meters above the deepest portion of an oceanic basin. This feature is where the seafloor spreading takes place along a divergent plate boundary in the ocean.
Mid-ocean ridges form at the divergent plate boundaries, where the seafloor spreading leads to the production of new oceanic crust. This new crust is formed due to the igneous intrusions and extrusions as the magma either cools beneath the Earth's surface or erupts as lava above the Earth's surface.
Therefore, the correct option is B.
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You are moving at 30 km/s with respect to the sun because the Earth ismoving. So is the chair you are sitting in. If you stood up and jumped, thechair wouldn't move out from under you because:A) The inertia of you and the chair carry both of you with the speed of the EarthB)The chair is stuck to the ground because of frictionC) You didn’t jump high enough for that speed to matterD) You have inertia that keeps you gravitationally attracted to the chair
Answers
Given that both the chair and the person are affected by Earth's movement, we can deduct that both have inertia due to Earth's speed.
Therefore, the answer is A.What is the mass amount of a Proton and a Neutron?
Answers
The masses amount of a proton and neutron are 1.0087 and 1.0073 amu respectively.
What is a Proton?This is defined as sub atomic particle which is positively charged and is present in the nucleus while the neutron is also a particle present in the nucleus but has a neutral charge.
Electrons on the other hand are found outside the nucleus and are negatively charged. It is the sub atomic particle which is actively involved in a chemical reaction.
The masses of neutron and proton are 1.0087 and 1.0073 amu respectively and was discovered by scientists thereby making it the most appropriate choice.
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a rectangular block weighs 240N. The area of the block in contact with the floor is 20cm2 calculate the pressure on the floor
Answers
Answer:
The pressure on the floor is 12 Pascal(Pa).
Explanation:
Given,
Force (F) = 240N
Area (A) = 20 cm^2
Pressure (P) = ?
we know that,
P = F/A
= 240/ 20
= 12 Pa
What is carried by a wave?
Answers
Answer
Energy
Explanation
wave is a disturbance which travels through a medium carrying energy from one point to another without causing any permanent displacement in that medium. So energy is carried by a wave.
if the electric field between the plates has a magnitude of 1.9×105 v/m , what is the potential difference between the plates?
Answers
The potential difference between two points is the work done per unit charge required to move a positive test charge from one point to the other. This concept is important in many fields, including electrochemistry and electrical engineering.
The formula for potential difference is ΔV = Ed, where ΔV is the potential difference, E is the electric field between the plates, and d is the distance between them.
Given that the electric field between the plates has a magnitude of 1.9×105 V/m, we can find the potential difference between the plates by multiplying this value by the distance between them. However, we do not have information about the distance between the plates in the question. Therefore, we cannot calculate the potential difference between the plates using the information given.
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Calculate the PE of an object with a mass of 0.5 kg located on a table with a height of 1 meter. (Remember g= 9.8 m/s2)
Answers
We will have the following:
\(P=(0.5kg)(9.8m/s^2)(1m)\Rightarrow P=4.9J\)So, the potential energy is 4.9 Joules.
The properties of metals depend mainly on the number and arrangement of neutrons
True
False
Answers
Answer:
False
Explanation:
Electrons
Stored energy and the energy of position is the definition?
Answers
Answer:
Potential energy is energy that is stored-or conserved-in an object or substance. This stored energy is based on the position, arrangement or state of the object or substance
A scientist counts the number of bacteria colonies growing in each of six lab dishes. why is 13 considered to be the mode of this data set? it is the most likely number of colonies that would grow in a dish. it is in the center of the range of the number of colonies. it is the data value that appears the most often in the set. it is the ideal number of colonies that the scientist should grow.
Answers
Since it is the data value that appears in the set the most frequently, 13 colonies is regarded as the set's mode. So, C is the best choice.
A collection of bacteria descended from the same mother cell is referred to as a "bacterial colony." A colony is a group of visible microorganisms that have all descended from a single mother cell; as a result, it is a genetically identical clone of bacteria.
The growth pattern of the organism on or on medium is given a lot of consideration when identifying bacteria and fungi. The most frequent number, or the one that appears the most frequently, is referred to as the mode.
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The efficiency of a petrol car engine is 40%. The speed of the car is 9.0 m s−1 when the power developed by the
engine is 20 kW. Calculate how many kilometres the car can go with one litre of petrol when driven at this speed.
Answers
The car will travel 6.12 km one litre of petrol when driven at this speed
Given the energy provided by one liter of gasoline e = 34 * 10⁶ Joules
efficiency of the car = 40%
The speed of the car is 9.0 ms⁻¹
Power of the car = P = 20 kW
The useful energy produced by the car is equal to
= P * e
Therefore the useful energy is
= 34 * 10⁶ * 40/100
= 1.36 * 10⁷ Joules
Now, we can say that car consumes 20 ± 10³ J/s to travel at the speed of 9 m/s
The time for which the car will keep moving at this speed using the energy provided by 1 liter of fuel is
\(t=\frac{1.36*10^{7} }{20*10^{3} }\) = 680 sec
The distance travelled by car during this time is
d = 9 * 680
d= 6.12 km
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in every energy conversion some energy is always converted into
Answers
In every energy conversion, some energy is always converted into other forms, and a portion of it is often lost as waste heat.
According to the principle of energy conservation, energy cannot be created or destroyed but can only be transformed from one form to another. Therefore, when energy undergoes conversion from one form to another, some of it is inevitably transformed into different types of energy.
During energy conversions, different forms of energy may be involved, such as mechanical energy, electrical energy, thermal energy, chemical energy, and so on. In these processes, energy can be transferred and transformed, but the total amount of energy remains constant.
However, it is important to note that energy conversions are never 100% efficient, meaning that some amount of energy is always lost as waste heat. This loss occurs due to various factors, including friction, inefficiencies in the conversion process, and limitations of the systems involved.
For example, in the generation of electrical power from fossil fuels, such as coal or natural gas, the combustion process releases heat energy. This heat energy is then used to produce steam, which drives a turbine to generate electricity. However, not all of the released heat energy is effectively converted into electrical energy. Some of it is lost as waste heat through processes like radiation, convection, or incomplete combustion.
Similarly, in many other energy conversion processes, such as the operation of engines, heating systems, or electronic devices, there are always energy losses in the form of waste heat. These losses contribute to the overall decrease in the efficiency of the conversion process.
Efforts are made to improve energy efficiency and minimize energy losses in various industries and applications. Technologies like insulation, heat recovery systems, and advanced engineering designs aim to reduce waste heat and maximize the useful energy output from energy conversion processes.
In summary, in every energy conversion, some energy is always converted into other forms, but a portion of it is inevitably lost as waste heat. Energy conversions are never 100% efficient, and energy losses occur due to factors like friction, inefficiencies, and system limitations.
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What is the magnification of an object that is 4.15 m in front of a camera that has an image position of 5.0 cm? I need to show work and i don’t know what to do
Answers
Done !!!!!!!
Which statement accurately describes the use of radioactive decay?
Technetium-99 is used as a radioactive tracer because it remains in the body for a long time.
Some types of cancer cells are killed by directing alpha rays at the tumor from outside the body.
Plants utilize radioisotopes in the same way they use nonradioisotopes because they are chemically identical.
Geologists and archaeologists use different dating processes to determine the age of rocks, fossils, and ancient artifacts.
Answers
Answer:
O. Geologists and archaeologists use different dating processes to determine the age of rocks, fossils, and ancient artifacts.
Explanation:
Redioactive decay is the process whereby the radioactive materials reduces in quantity through the decay of its materials.
For example, if there where 100g of polonium today, and 5 years later, it has reduced to 30g, then, radioactive decay has taken place over the long period of time.
One of its major use is in the determination of the ages of rocks, fossils, and ancient artifiacts through its cabon dating inorder to determining the radioactive decay of those materials over the past few decades.
eleven wa=eighs 47 kg. her height is 1.63 m. what is her bmi
Answers
Answer:
17.7kg/\(m^{2}\)
Explanation:
BMI =
= \(\frac{weight (kg)}{height (m) . height (m)}\)
= 47kg/(1.63m×1.63m)
= 17.689kg/\(m^{2}\)
≈ 17.7kg/\(m^{2}\)