A coil with a self-inductance of 6.0 H is connected to a dc battery through a switch. As soon asthe switch is closed, the rate of change of current is 2.0 A/s. What is the emf induced in this coilat this instant?3.0 V0.33 V12 V6.0 V

Answered: Image /qna-images/answer/a00e1f7e-8bcf-4a1d-bb23-64b41de32f6a.jpg

A coil with a self-inductance of 6.0 H is connected to a dc battery through a switch. As šooh as the switch is closed, the rate of change of current is 2.0 A/s. What is the emf induced in this coil at this instant?

A coil with a self-inductance of 6.0 H is connected to a dc battery through a switch. As šooh as the switch is closed, the rate of change of current is 2.0 A/s. What is the emf induced in this coil at this instant?

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter23: Electromagnetic Induction, Ac Circuits, And Electrical Technologies

Section: Chapter Questions

Problem 36PE: A 75-turn, 10.0 cm diameter coil rotates at an angular velocity of 8.00 radius in a 1.25 T field,...

See similar textbooks

Related questions

Q: An emf of 0.80 Vv is induced across a coil when the current through it changes uniformly from 0.30…

Q: An induced EMF of 16 V exists in a coil when the current in the coil changes at a rate of 42 A/s.…

A: Given data: Induced EMF is, e=16 V. Rate of change of current is, dIdt=42 A/s.

Q: Two coils are placed near each other and they have a mutual inductance of 879.1 mH. If the current…

A: mutual inductance(M)=879.1 mH=879.1×10-3H current i(t)=0.5e-1,625.3t to find: induced emf at…

Q: In a single-loop coil, the flux is given by Φ=3 sin t + 5 cos t. What is the magnitude of the…

A: Induced emf may be defined as the rate of change of flux with respect to time. If E be induced emf…

Q: Two coils close to each other have a mutual inductance of 32 mH. If the current in one coil decays…

A: The expression for the EMF of a coil, ε=-dϕdtThe magnetic flux of the coil isϕ=MI

Q: Suppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m…

A: Using the energy stored in an inductor, U=12LI2I=2UL

Q: The self-inductance of a coil is 50 mH. What is the emf induced when the current in the coil…

Q: The magnetic flux through a coil of wire containing 15 loops changes at a constant rate from 10Wb to…

Q: Ulysses wants to be able to generate a voltage of Vpeak = 12 V using a hand-crank AC generator. In…

A: Vpeak = 12 V; NP = 10 ; NS = 400 ; R = 4.0 cm ; Na = 75 turns; B = 60 m ;

Q: A physics student observes that the current in a coil of conducting wire goes from i, = 0.200 A to…

A: Given: Inductance L = 4mH or 0.004 H i1= 0.200 A…

Q: A 490-turn solenoid, 30 cm long, has a diameter of 3.5 cm. A 15-turn coil is wound tightly around…

A: Initially, the current in the solenoid is zero. Therefore, the initial magnetic field will be zero.…

Q: A small loop of area 6.8 mm2 is placed inside a long solenoid that has 854 turns/cm and carries a…

Q: A lab tech observes that the current in a coil of conducting wire goes from i, At = 0.200 s.…

A: By general definition the voltage in in an inductor is defined as E = L di/dt .L = Inductance di =…

Q: In a coil of resistance 10 N, the induced current developed by changing magnetic flux through it, is…

A: As from the given graph we will find the charge q is area under the graph q=12×0.1×4q=0.2 C

Q: The flux (t3-2t) in each winding of a coil with 100 turns is mWb. t=2. Which of the following is the…

Q: Two coils are placed near each other and they have a mutual inductance of 887.4 mH. If the current…

Q: A 750-turn solenoid, 23 cm long, has a diameter of 2.7 cm . A 11-turn coil is wound tightly around…

A: Consider the number of turns of the solenoid be N, the radius of the solenoid be r, the length of…

Q: A 750-turn solenoid, 26 cm long, has a diameter of 2.5 cm. A 16-turn coil is wound tightly around…

Q: A coil has 3.45 Ω resistance and 450 mH inductance. If the current is 3.92 A and is increasing at a…

A: The equation for the potential difference across the coil can be given by the equation

Q: The induced e.m.f. in a coil is 2.10 × 10-2 V when the current in it is changing at a rate of 7.00 x…

Q: A 2.00-H indductor carries a steady current of 0.500A. When the switch in the circuit is opened,the…

A: L = 2.00H Steady Current (Ii) = 0.500 Amp time = 10.0 ms

Q: Consider a coil with 950 loops that is pulled in-between magnetic poles in 0.12 s. The coil…

Q: The current in a coil drops from 3.8 A to 1.9 A in 0.52 s. If the average emf induced in the coil is…

A: The self induction of the coil is 3.28 mH

Q: The current through a coil as a function of time is represented by the equation I(t) = Ae sin(wt),…

A: Induced emf due to the varying current in the first coil…

Q: A 460-loop circular armature coil with a diameter of 7.0 cm rotates at 170 rev/s in a uniform…

A: The equation for the rms output voltage of an electric generator is given by

Q: An induced emf of 2.0 V is measured across a coil of 50 closely wound turns while the current…

A: The self-inductance of the coil, L=εdI/dt

Q: An emf of 24.0 mV is induced in a 500 turn coil at an instant when the current is 4.0 A and is…

A: The expression for find magnitude of Lis L=-εdIdt Substitute values in the above equation…

Q: Two coils are wound around the same cylindrical form,like the coils . When the current in the first…

A: Given values: Rate, R=-0.242 A/s Induced emf, ε=1.65×10-3 V Number of turns of the second coil, N=25…

Q: At time t =0, a 45 V potential difference is suddenly applied to the leads of a coil with inductance…

A: The equation for the current is given by,

Q: The armature of a small generator consists of a flat, square coil with 120turns and sides with…

Q: The current of a coil of inductance L = 0.1 H varies with time according to I = 4 t2 - 6 t, where I…

Q: The magnetic flux through the loop increases according to the relation shown below. What is the…

A: Magnitude of Induced EMF is given by: EMF = N*d(phi)/dt phi = Magnetic flux = (6.5t^2 + 1.9t) Wb N =…

Q: The current in a 62 mH inductor changes with time as I = bt2 - at. With a 6 A/s and b = 6 A/s, find…

Q: The current in a coil drops from 3.5 A to 2.0 A in 0.50 s. Ifthe average emf induced in the coil is…

A: Writing the formula for induced emf:

Q: What is the magnitude of the induced emf when the magnet is thrust into the coil, given the…

A: Faradays law helps to describe the induction of emf in a conductor and the second law helps to find…

Q: The current through a coil as a function of time is represented by the equation I(t) = Ae-bt…

Q: A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0…

Q: A coil with a self-inductance of 3.0 H carries a current that decreases at a uniform rate dI/dt =…

Q: The current in a coil decreases from 9.0 A to 5.5 A in 0.30 s. If the average emf induced in the…

A: Solution: given that current in a coil decreases from 9.0 A to 5.5 A in 0.30 s emf = 25 mV

Q: At t = 0, an emf of 420 V is applied to a coil that has an inductance of 0.780 H and a resistance of…

A: Let the maximum current be io Given that Resistance (R)= 30 ohm Emf (E)= 420 v Inductance (L)= 0.780…

Q: A 10 ohm resistance wire and a 0.5 H coil are connected in series between the ends of a generator…

A: SOlution: Given that R = 10 Ohm L = 0.5 H V = 100sin40t

Q: At what rate would the current in a 100-mH inductor have to change to induce an emf of 100V in the…

Concept explainers

Electromagnets

The word "electromagnet" is composed of two words, ‘electro’ and ‘magnet’. It is a type of magnet in which an electric current helps in the generation of a magnetic field. Electromagnets usually consist of two major parts, wire and a coil around which the wire is wound. This is called a solenoid. When an electric current is allowed to pass through the coiled wire, the electric current produces a magnetic field. This magnetic field is present only when current is passing through the wire.

Question

A coil with a self-inductance of 6.0 H is connected to a dc battery through a switch. As soon as
the switch is closed, the rate of change of current is 2.0 A/s. What is the emf induced in this coil
at this instant?
3.0 V
0.33 V
12 V
6.0 V

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

What energy is stored in an inductor of 40 mH when a current of 8 A is passing through it? O A. 160 mJ B. 1.28 J O C. 128 mJ O D. 12.8 J O E. 1.6 mJ
A loop of wire has a self-inductance of 5.5 mH. You pass a current of 9.0 Amps though the loop, and then drop the current to 0 at a contastant rate over 3.5 seconds. What is the EMF generated?
Two coils are placed close together in a physics lab to demonstrate Faraday's law of induction. A current of 9.00 A in one is switched off in 1.60 ms, inducing a 6.00 V emf in the other. What is their mutual inductance (in mH)?
A coil has an Inductance of 50μH. What voltage is induced across the coil when the rate of change of current is 10000 A/s?
The primary coil of a transformer has 329 turns; the secondary coil has 1000 turns. An alternating current is sent through the primary coil. The emf in the primary is of amplitude 10.2 V. What is the emf amplitude in the secondary?
A 6.0-mH inductor is in a circuit. At the instant the current is 5.0A and its rate of change is 200A/s, the rate with which the energy stored in the inductor is increasing is: A. 7.5 x 10?2W В. 120W C. 240W D. 3.0W E. 6.0W
a b -b- A coil with a = 10.800 cm and b = 13.000 cm is in the same plane with a long straight wire. The current in the long straight wire is given by i = 27.000t² - 30.000t, where i is in amperes and t is in seconds. Calculate the emf in the loop at time 8.000 s. 1.64E-4 V
A bicycle generator rotates at 1875 rad/s, producing an 18.0 V peak emf. It has a 1.00 by 3.00 cm rectangular coil in a 0.640 T field. It is driven by a 1.60 cm diameter wheel that rolls on the outside rim of the bicycle tire. (a) What is the velocity of the bicycle if the generator’s angular velocity is1875 rad/s? (b) What is the maximum emf of the generator when the bicycle moves at 10.0 m/s, noting that it was 18.0 V under the original conditions? (c) If the sophisticated generator can vary its own magnetic field, what field strength will it need at 5.00 m/s to produce a 9.00 V maximum emf?
A circuit consists of a 0.8 H inductor and a 3.5 ohm resistor. At t = 0 the current through the inductor is 1.2 A. How much energy is stored in the inductor at this instant?
The solenoid whose inductance is L = 20.0 H is connected in series to a resistor R = 10.0 2 and a 12.0 V battery, as shown below. When the switch is closed for 4.00 s, the potential difference across the resistor is: R О а. 3.20 V O b. 5.60 V О с. 0.560 V O d. 1.60 V O e. 10.4 V
During a 74-ms interval, a change in the current in a primary coil occurs. This change leads to the appearance of a 6.6-mA current in a nearby secondary coil. The secondary coil is part of a circuit in which the resistance is 12 Q. The mutual inductance between the two coils is 3.2 mH. What is the change in the primary current? Alp=
A0.2 H inductor and a 146 Ohm resistor are connected to a 12 V battery. After how much time will the current reach 84% of its final value?