A coil has an inductance of 3.00 mH, and the current through it changes from 0.200 A to 1.50 A in a time of 0.200 s. Find the magnitude of the average induced emf in the coil during this time. Select one: O A. 22.75 mV B. 13mV O C. 19.5 mV O D. 26 mV O E. 16.25mV

A coil has an inductance of 3.00 mH, and the current through it changes from 0.200 A to 1.50 A in a time of 0.200 s. Find the magnitude of the average induced emf in the coil during this time. Select one: O A. 22.75 mV B. 13mV O C. 19.5 mV O D. 26 mV O E. 16.25mV

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 31P

See similar textbooks

Related questions

Q: 4) A long solenoid has n=900 turns per meter and a current I = 3.2 sin(wt). Inside the solenoid with…

A: wavelength, ƛ = 50 m Period , T = 4 s

Q: Two coils are at fixed locations. When coil 1 has no current and the current in coil 2 increases at…

A: The rate of change of current,

Q: The current in a coil changes steadily from 1.3 A to 2.5 A in the opposite direction, in 0.12 s. The…

Q: 4) A long solenoid has n=800 turns per meter and a current I = 2 sin(wt). Inside the solenoid with…

A: According to guidelines we need to solve only the first three sub-parts. Please resubmit the…

Q: A long solenoid with n = 10 turns per centimeter has a cross-sectional area of 5.0 cm2 and carries a…

A: It is given that,

Q: In a model AC generator, a 495 turn rectangular coil 10.0 cm by 23 cm rotates at 123 rev/min in a…

A: Given that the value of the number of turns and area and angular velocity and also given the value…

Q: An emf of 0.50 V is induced across a coil when the current through it changes uniformly from 0.20 A…

A: solution is given by

Q: 6. a. Calculate the inductance of a solenoid containing 300 turns if the length of the solenoid is…

A: Given data- turns n=300, length l=25 cm=0.25 m, cross sectional area A=4×10-4 m2 Inductance of a…

Q: 5 sin(wt). Inside the solenoid 4) A long solenoid has n=1000 turns per meter and a current I with a=…

Q: The magnitude of the self induced emf is 0.0350 V at the instant when the current in an inductor is…

A: Given data: Self induced emf (ε) = 0.0350 V | di/dt |= 0.0210 A/s Current (i) = 0.420 A Number of…

Q: A 600-turn solenoid is 0.55 m long and 4.2 cm in diameter. Inside the solenoid, a small (1.1 cm ×…

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

Q: 4) A long solenoid has n=800 turns per meter and a current I = 2 sin(wt). Inside the solenoid with…

Q: A coil is connected in series with a 10.0 k resistor.An ideal 50.0 V battery is applied across the…

Q: Two coils close to each other have a mutual inductance of 29 mH. The current in one coil decays…

A: Given :- L = 29 mH I = I0 e-αt Io = 6A α = 1.5 * 10^3 s-

Q: A coil with 150 turns has a magnetic flux of 50.0 nT m2 through each turn when the current is 2.00…

A: Since there are multiple sub parts posted, we will answer the first three sub parts. a) The…

Q: 5. A long straight wire is parallel to one edge and is in the plane of a single-turn rectangular…

A: Given Data: The maximum current in the loop is, I0=25 A The magnitude of angular velocity is, ω=100π…

Q: 4) A long solenoid has n=1000 turns per meter and a current I = 5 sin(wt). Inside the solenoid with…

A: Given: n = 1000 turns per meter; I = 5 sin(wt) a = 0.5 m; b= 0.2 m; Nc = 300 turns; t = 2s; R = 2…

Q: Two coils are at fixed locations. When coil 1 has no current and the current in coil 2 increases at…

Q: A small loop of area A = 7.6 mm2 is inside a long solenoid that has n = 927 turns/cm and carries a…

A: Answer:- Given Area (A) = 7.6 mm2 = 7.6 × 10-6 m2 Number of turns per unit length (n) = N/L = 927…

Q: A solenoid has N turns of area A distributed uniformly along its length, /. When the current in this…

A: induced emf, e = 75 mV rate of change of current, dI/dt = 2 A/s (a) The self inductance is given…

Q: The average magnetic field inside a flat coil of area A with N turns around which a current i flows…

Q: In a model AC generator, a 495 turn rectangular coil 10.0 cm by 23 cm rotates at 123 rev/min in a…

A: Given that--- In a model AC generator, a 495 turn rectangular coil 10.0 cm by 23 cm rotates at 123…

Q: Suppose a 57.5 cm long, 11.5 cm diameter solenoid has 1000 loops. Part (a) Calculate the…

A: Answer:- Given The length of the solenoid(xo) = 57.5 cm = 0.575 m The diameter of the…

Q: Two coils close to each other have a mutual inductance of 23 mH. The current in one coil decays…

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: Two coils of wire are placed next to each other. The current in the first coil increased from 0 to…

A: Given : Current in first coil increases from 0 A to 10 A Change in time is 35…

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: (a) Find the inductance of the solenoid. (b) If the solenoid has 350 turns, what is the magnetic…

A: a) The solenoid’s self-induced emf can be represented as, Here, L, I, and t represent the…

Q: 25.0-H inductor has 100 A of current turned off in 1.00 ms. (a) What vollage is induced to oppose…

Q: A small loop of area A -4.1 mm2 is inside a long solenoid that has n- 853 turns/cm and carries a…

A: Given data: Area of the small loop, A=4.1 mm2=4.1×10-6 m2 n=853 turns/cm=853×102 turns/m Current,…

Q: Measurements on a solenoid coil (inductor) at a particular instant in time indicate that the current…

Q: what is inductance of toroi d with N winds, ciTcular cross cection of Yadivs a overall radius R?Q?<R…

A: Solution: given that number of turns=N coil radius =a overall radius =R

Q: 4) A coil of N,=40 turns and radius 0.5 m surrounds a long solenoid of radius 0.1 m and n=800 turns…

Q: A 497-turn solenoid has a radius of 9.00 mm and an overall length of 13.2 cm. (a) What is its…

Q: A toroidal solenoid has 800 turns, cross-sectional area of 16.25 cm^2, and an average radius of…

A: Number of turns in the toroid, N=800 The cross-sectional area of the toroid, A=16.25 cm2 The…

Q: A 140-turn circular coil has diameter 5.0 cm . A magnetic ﬁeld perpendicular to the coil is changing…

A: The figure shows the magnetic field on the axis of a current carrying circular coil.

Q: A long, straight current carrying solenoid creates a uniform magnetic field B=7mT inside itself when…

A: Mutual inductance b/w the loops M=4mH, rate of change of current in coil S1 dI1/dt=10 A/s and number…

Q: A steady current of 5 A is flowing through an inductor with 90 volts across it. Find (a) Inductance…

A: In the given question given that, current flowing through the inductor is 5amp and and voltage…

Q: 4) A long solenoid has n=1000 turns per meter and a current I = 5 sin(wt). Inside the solenoid with…

A: Given: n= 1000 turns per meter; I = 5 sin(wt) a= 0.5 m; b= 0.2m; Nc = 300 turns; t = 2s; R = 2 ohm

Q: A coil of 40 turns is wrapped around a long solenoid of cross-sectional area 7.5 × 10−3 m2. The…

A: The relation between magnetic flux (Φ21) and mutual inductance (M) is given by- M=N2Φ21I1Here,N2 is…

Concept explainers

Voltage Across Inductor

An actor is a passive electrical component that consists of a coil bent in the form of wire which uses electromagnetism to produce electric current through the coil. When the electric current flows through a conductor that is the coil, a magnetic flux is developed around the conductor. This flow of current through the coil creates a magnetic field based on Fleming's Right-hand thumb rule. If there is any decrease in the current passing through the inductor, then the magnetic field will also decrease and energy is released through the generation of electric current. There is also a secondary voltage inducing in the same coil due to the magnetic flux, since it opposes any changes in the electric current flowing through the circuit. An inductor is also called choke, coil, or solenoid. A choke is designed to block certain frequencies when the DC current passes. A winding coil is coated with insulation to give extra insulation and protect the circuit. They are usually tightly wrapped around a central core which is cylindrical in nature so that the magnetic flux can be induced. The solenoid is a three-dimension coil that is used to exhibit electromagnetism when the magnetic field is developed due to the current flowing through the coil. The sign convention of the inductor is the same as the power dissipating device. When the current flows into the positive side of the voltage across the inductor, the value is positive and the inductor dissipates power whereas when the inductor releases the power back to the circuit, the current has a negative sign convention. 

Question

100%

A coil has an inductance of 3.00 mH,
and the current through it changes
from 0.200 A to 1.50 A in a time of
0.200 s. Find the magnitude of the
average induced emf in the coil
during this time.
Select one:
A. 22.75 mV
O B. 13mV
O C. 19.5 mV
O D. 26 mV
O E. 16.25mV

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

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

A coil with a self-inductance of 3.0 H carries a current that decreases at a uniform rate dl/dt = -0.050 A/s. What is the emf induced in the coil? Describe the polarity of the induced emf.
A long solenoid with n= 10 turns per centimeter has a cross-sectional area of 5.0 cm2and carries a current of 0.25 A. A coil with five turns encircles the solenoid. When the current through the solenoid is turned off, it decreases to zero in 0.050 s. What is the average emf induced in the coil?
A 75-turn, 10.0 cm diameter coil rotates at an angular velocity of 8.00 radius in a 1.25 T field, starting with the plane of the coil parallel to the field. (a) What is the peak emf? (b) At what time is the peak emf first reached? (c) At what time is the emf first at its meet negative? (d) What is the period of the AC voltage output?
(a) Calculate the self-inductance of a 50.0 cm long, 10.0 cm diameter solenoid having 1000 loops. (b) How much energy is stored in this inductor when 20.0 A of current flows through it? (c) How fast can it be turned off if the induced emf cannot exceed 3.00 V?
A transformer is used to supply a 12-V model train with power from a 110-V wall plug. The train operates at 50 W of power, (a) What is the rms current in the secondary coil of the transformer? (b) What is me rms current in the primary coil? (c) What is the ratio of the number of primary to secondary turns? (d) What is the resistance of the tram? (e) What is the resistance seen by the 110-V source?
A 5000-pF capacitor is charged to 100 V and then quickly connected to an 80-mH inductor. Determine (a) the maximum energy stored in the magnetic field of the inductor, (b) the peak value of the current, and (c) the frequency of oscillation of the circuit.
The healing coils in a hair dryer are 0.800 cm in diameter, have a combined length of 1.00 m, and a total of 400 turns. (a) What is their total self-inductance assuming they act like a single solenoid? (b) How much energy is stored in them when 6.00 A flows? (c) What average emf opposes shutting them off if this is done in 5.00 ms (one-fourth at a cycle for 50 Hz AC)?
An emf is induced by rotating a 1000-turn, 20.0 cm diameter coil in the Earth’s 5.00105T magnetic field. What average emf is induced, given the plane of the coil is originally perpendicular to me Earth’s field and is rotated to be parallel to the field in 10.0 ms?
When the switch in Figure CQ31.8a is closed, a current is set up in the coil and the metal ring springs upward (Fig. CQ31.8b). Explain this behavior.
The accompanying figure shows a single-turn rectangular coil that has a resistance of 2. . The magnetic field at all points inside the coil varies according to B=B0eat,B0=0.25T and a = 200 Hz. What is the current induced in the coil at (a) t = 0.001 s, (b) 0.002 s, (c) 2.0 s?
A 600-turn solenoid is 0.55 m long and 4.2 cm in diameter. Inside the solenoid, a small (1.1 cm × 1.4 cm), single-turn rectangular coil is fixed in place with its face perpendicular to the long axis of the solenoid. What is the mutual inductance of this system?
A solenoid 50 cm long is wound with 500 turns of wire. The cross-sectional area of the coil is 2.0 cm2. What is the self-inductance of the solenoid?