The flux through each turn of a 100-turn coil is (t3 - 2t) mWb, where t is in seconds , the induced emf at t=2s is : The flux through each turn of a 100-turn coil is (f – 2t) mWb, where t is in seconds. Theinduced emf at t = 2 s is(a) 1 V(d) 0.4 V(b) –1 V(e) -0.4 V(c) 4 mV

Given, number of turns, N=100 flux, φ=t3-2t mWb induced emf, ε time, t = 2 s So, the induced emf can…

Answered: The flux through each turn of a…

The flux through each turn of a 100-turn coil is (ť – 2t) mWb, where t is in seconds. The induced emf at t = 2 s is (a) 1 V (d) 0.4 V (b) –1 V (e) –0.4 V (c) 4 mV

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: A loop of area 0.23 m2 is in a 0.047 T uniform magnetic field oriented so that the maximum flux goes…

Q: A 30 cm long circular iron rod is bent into circular ring and 600 turns of windings are wound on it.…

Q: A 2.0 H inductor carries a constant current of 0.5 A. When the switch in the circuit is opened, the…

A: Inductance (L) = 2 H Initial constant current (I) = 0.5 A Final current (I') = 0 A Time (t) = 20…

Q: A coil with loops of area 0.0120 m^2 rotates at 60.0 Hz through a B field of 0. 125 T. How many…

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: A circular coil of radius 12.5 cm is located in a region of magnetic field where B(t) = (+0.3…

A: It is given that,

Q: A coil having 50 turns and an outer and inner diameter of 3cm and 2 cm respectively swings from a…

Q: At time t = 0, a 12.0 V potential difference is suddenly applied to the leads of a coil of…

Q: A closely wound rectangular coil of 100 turns has a dimension of 12.0cm x 25.0cm. In time t=0.0800 s…

A: Given, Number of turns of rectngular coil, N = 100dimension, 12.0 cm ×25.0 cmtime, t = 0.080 sit…

Q: The initial angular speed of the coil in the generator is 5.00 rad/s and the initial amplitude of…

A: the emf induced is directly proportional to the angular speed . thus, as the angular speed increase…

Q: Two coils have a mutual inductance of 480mH. One coil is supplied with a current given by I(t) = 3t2…

Q: A 96-mH solenoid inductor is wound on a form 0.80 m in length and 0.10 m in diameter. A coil is…

Q: A conducting coil, with current i(t) = 4.00e-0.0250t sin(120at), with i in amperes and t in seconds,…

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 simple AC generator consists of 20 coils of wire with an area of 1000 cm² and placed in a region…

Q: An eight-turn coil is tightly wrapped around the outside of the long solenoid as shown below. The…

A: The Faraday’s laws for solenoid says, Here, N is the number of turns in coil; ϕ is the magnetic…

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: In a 250-turn automobile alternator, the magnetic flux in each turn is P = 2.50 × 10-4 cos wt, where…

A: Introduction:The equation for induced emf is given as:ε = -NdϕBdt -1Here, N are the number of…

Q: A coil of 15 turns and radius 10.0cm surrounds a long radius of 1.90 cm and 1.00*10^3 turns/meter.…

A: Induced emf ε=-Ndϕdt=-NddtBA=-Nddtμ0nIA=-Nμ0nAdIdt=-Nμ0nAddt7.00sin120t=-154π×10-7 Hm1.00×103…

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 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: A 50-turn coil has a diameter of 15 cm. The coil is placed in a spatially uniform magnetic field of…

A: Given: The numbers of turns of the coil are 50. The diameter of the coil is 15 cm. The magnitude of…

Q: A narrow coil of 10 turns and area 4 x 10° m²is placed ia a uniform magnetic ficld of flux density,…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: The radius of the circle forming a coil of N=105 turns is given as r=4.3cm. The coil is placed in…

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: coil has 2.55-Ω resistance and 121-mH inductance. If the current is 3.00 A and is increasing at a…

Q: Two coils have a mutual inductance of 580 mH. One coil is supplied with a current given by I = 3t2 -…

A: Given Mutual Inductance = 580 mH = 0.58H I = 3t2 - 2t + 4

Q: A 96-mH solenoid inductor is wound on a form 0.80 m in length and 0.10 m in diameter. A coil is…

A: Given: Inductance of inductor, L = 96 mH = 96 X 10-3 H Length of wire, l = 0.8 m Diameter of wire, d…

Q: A coil has an inductance of 50 mH and a resistance of 0.24 Q. A 12V emf is applied across the coil.…

A: The RL circuit consists of the Resistance and Inductance connected in series. The voltage difference…

Q: A 2.5 m long coil containing 250 loops is wound on an iron core (average u = 1850µ.) along with a…

Q: A fixed 11.1-cm-diameter wire coil is perpendicular to a magnetic field 0.73 T pointing up. In 0.14…

Q: A circular loop of flexible iron wire has an initial circumference of 130 cm at t=0, but its…

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: A coil of conducting wire carries a current i. In a time interval of At = 0.480 s, the current goes…

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

Q: Assume an inductor with inductance L through which passes a current varying as a function of time as…

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

Q: A 96-mH solenoid inductor is wound on a form 0.80 m in length and 0.10 m in diameter. A coil is…

Q: A coil of 15 turns and radius 10 cm surrounds a long solenoid of radius 2.00 cm and has 1.00 x 103…

A: Formula of induced emf is as follows; ε=-d∅dt∅=μ0πr2nNIhence,ε=-μ0πr2nNdIdt…

Q: At a certain instant the current flowing through a 5.0-H inductor is 3.0 A. If the energy in the…

A: Given data: Current I=3.0A Inductance L=5.0H Change in Energy dE/dt=3.0J/s

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%

The flux through each turn of a 100-turn coil is (t³ - 2t) mWb, where t is in seconds , the induced emf at t=2s is :

The flux through each turn of a 100-turn coil is (f – 2t) mWb, where t is in seconds. The
induced emf at t = 2 s is
(a) 1 V
(d) 0.4 V
(b) –1 V
(e) -0.4 V
(c) 4 mV

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

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

In an oscillating RLC circuit with L = 10 mH, C = 1.5 F , and R = 2.0 , how much time elapses before the amplitude of the oscillations drops to half its initial value?
A 10 ohm resistance wire and a 0.5 H coil are connected in series between the ends of a generator with an electromotive force of E = 100sin40t. If the current intensity passing through the circuit at time t = 0 is "zero", what will be the current intensity at any time t?
The current of a coil of inductance L = 0.1 H varies with time according to I = 4 t2 - 6 t, where I is expressed in A and t in s. For what value of time will the induced emf (epsilonL) be zero?
A coil with multiple loops is in a magnetic field such that the magnetic flux through the coil increases at rate of 0.0240 Wb/s. The induced emf is 3.36 V. How many loops are in the coil?
Two coils have a mutual inductance of 480mH. One coil is supplied with a current given by I(t) = 3t2 – 2t - 6, where I(t) is in amperes and t in seconds. What is the induced EMF in the other coil at t=3.5s?
In a coil with an inductance of 5 mi, the current changes in 0.1 ms by 0.2 A. How much self-induction electromotive force is generated in the coil?
A physics student observes that the current in a coil of conducting wire goes from i1 = 0.200 A to i2 = 1.50 A in a time interval of Δt = 0.350 s. Assuming the coil's inductance is L = 5.00 mH, what is the magnitude of the average induced emf (in mV) in the coil for this time interval?
if the area of the coil is 6920 cm2 and magenetic field applied is increasing uniformly from 0.3 T to 1.6 T, determine time taken to produce induced emf of -1.2V
Find the magnitude of the emf induced in the coil if the magnetic field is reduced to 33.4% of its initial value uniformly in 0.329s (in Volts).
A closely wound rectangular coil of 100 turns has a dimension of 12.0cm x 25.0cm. In time t=0.0800 s the plane of the coil is rotated from a position where it makes an angle of 45.0 degrees with a magnetic field of 0.975 T to a position perpendicular to the field. What is theaverage emf induced in the coil? NOTE: the final answer should be 10.71 V.
A fixed 11.1-cm-diameter wire coil is perpendicular to a magnetic field 0.73 T pointing up. In 0.14 s , the field is changed to 0.24 T pointing down. What is the average induced emf in the coil?
In the figure, a 140-turn coil of radius 1.8 cm and resistance 7.3 Ω is coaxial with a solenoid of 220 turns/cm and diameter 2.5 cm. The solenoid current drops from 1.7 A to zero in time interval Δt = 31 ms. What current is induced in amperes in the coil during Δt?