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?

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?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter32: Faraday’s Law Of Induction

Section: Chapter Questions

Problem 45PQ

See similar textbooks

Related questions

Q: A solenoid with an inductance = 8.0*10^-3 H carries current of 1.0 A. The current in the solenoid…

A: Given, Inductance of solenoid L = 8 x 10-3 H Current I1 = 1A Current I2 = 0 A Time t = 0.1…

Q: The maximum value of the emf in the primary coil (Np = 1200) of a transformer is 165 V. (a) What is…

Q: induced emf (in volts) in the 15-turn coil as a function of time.

A: We know that, ε=-dϕdt......Faraday's lawwhere, ϕ is magnetic flux ε is induced emfThis law gives us…

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

Q: Two coils are placed close together in a physics lab to demonstrate Faraday’s law of induction. A…

A: Change on current, dI =5 A time, t =1 ms emf = 9 V

Q: goes L n

A: Initial value of current, I1 = 0.200 A Final value of…

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 80-cm side length square coil has 145 turns. An initial uniform magnetic field of strength 6.5 mT…

A: Given:- B = 6.5 mT L = 80 cm N = 145 turns

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

Q: 26-turn circular coil of radius 4.20 cm and resistance 1.00 2 is placed in a magnetic field directed…

Q: An electric current flows through a coil with an inductance of 15.3 mH. The graph shows the…

A: Given Inductance L = 15.3 mH = 15.3 × 10-3 H Time period of current T = 20 ms = 20 × 10-3 s Peak…

Q: A coil with a wire that is wrapped 40 turns around a 0.5 m2 hollow tube. A uniform magnetic field…

Q: Two coils are placed close together in a physics lab to demonstrate Faraday's law of induction. A…

Q: The current in a coil changes according to the formula: I = 0.5 − 0.2 t where t is in seconds and I…

Q: The magnetic flux through a coil is 2.50 mWb. The current in the coil is 1.00 A and has 100 turns…

Q: A long solenoid (cross-sectional area = 1.5 x 106 m², number of turns per unit length = 3587…

A: The cross-section area of the solenoid: The number of turns per unit length: The radius of the…

Q: A fixed 19.7-cm-diameter wire coil is perpendicular to a magnetic field 0.57 T pointing up. In 0.25…

A: Consider the change in magnetic field be dB, the time interval be dt, the diameter of the wire coil…

Q: Two coils have a mutual inductance M 0.0311 H, while the first coil has self- inductance L₁ 0.0251…

A: Given data, Mutual inductance M=0.0311 H. Self inductance L1=0.0251 H. Rate of change of current…

Q: Two coils have mutual inductance M = 3.25 * 10^-4 H.The current i1 in the first coil increases at a…

A: Given: To find the magnitude of the second coil induced emf as,

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

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 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

A conducting coil, with current i(t) = 5.40e-0.0250+ sin(120mt), withi in amperes and t in seconds, is placed next to a second coil, end to end. At t = 0.720 s, a lab tech measures the emf across the second coil, and the result is -3.50 V. What is the mutual inductance (in mH) of the coils? mH
The current in a coil changes according to the formula: I = 0.5 − 0.2 t where t is in seconds and I is in amps. Experimental measurements show that an emf 0.5mV self-induced voltage is produced at the ends of the coil. What is self-inductance from the coil?
Two coils have a mutual inductance of 2.34 x 10 4H. The current in the first coil increases at a uniform rate of 857A/s. If the resistance of the second coil is 62, what is the magnitude of the induced current (in mA) in the second coil? Answer:
-0.0250t A conducting coil, with current i(t) = 4.00e second coil, end to end. At t = 0.880 s, a lab tech measures the emf across the second coil, and the result is -3.50 V. What sin(120at), with i in amperes and t in seconds, is placed next to a is the mutual inductance (in mH) of the coils? mH
Two coils have a mutual inductance of 580 mH. One coil is supplied with a current given by I = 3t2 - 2t + 4, where I is in amperes and t in seconds. What is the induced emf in the other coil at time t = 2.5
Two coils are placed near each other and they have a mutual inductance of 887.4 mH. If the current in one of the coils decays as 0.4e-1,367.2t A. What is the induced emf in the other coil after 0.002 s?
Two coils have mutual inductance M = 3.25 * 10^-4 H.The current i1 in the first coil increases at a uniform rate of 830 A/s.What is the magnitude of the induced emf in the second coil? Is it constant?
The current through a coil as a function of time is represented by the equation I(t) = Ae-bt sin(wt), where A = 5.25 A, b = 1.75 x 10-2 s-1, and w = 375 rad/s. At t = 0.740 s, this changing current induces an emf in a second coil that is close by. If the mutual inductance between the two coils is 4.27 mH, determine the induced emf. (Assume we are using a consistent sign convention for both coils. Include the sign of the value in your answer.)
Two coils have a mutual inductance of 1.93x10-4 H. The current in the first coil increases at a uniform rate of 665 A/s. If the resistance of the second coil is 10 ohms, what is the magnitude of the induced current in mA in the Second coil?
An inductor has a current I(t) = (0.480 A) cos[(260 s-1)t] flowing through it. If the maximum emf %3D across the inductor is equal to 0.530 V, what is the self-inductance of the inductor, in mH? A 110-V hair dryer is rated at 1200 W. What current will it draw when operating from a 110-V electrical outlet? A small glass bead has been charged to 4.5 nC. What is the magnitude of the electric field 2.0 cm from the center of the bead? (k = 1/4nE 0 = 8.99 x 10° N. m2/C2) %3D
When the current through an inductor is decreasing at a constant rate of 0.5A/s, the magnitude of the induced emf is 7V. The electric current is 1A. What is the magnetic energy (in J) stored in the inductor?
The current in a coil changes from 3.60 A to 1.90 A in the same direction in 0.510 s. If the average emf induced in the coil is 11.0 mV, what is the inductance of the coil? mH