question c 1) a)movement of solenoidmagnetsolenoidresistorFigure 1The solenoid in Figure 1 is moved at constant velocity towards a fixed bar magnet.Using Lenz's law, determine the direction of the induced current through the resistor.Explain your answer.b) A solenoid of radius 5 cm has 200 turns and length of 15 cm. Calculate thei) inductanceii) rate at which current must change for it to produce an induced emf of 50 mV.c) A 400-turn solenoid has a cross-sectional area 1.81 x 10-3 m² and length 20 cmcarrying a current of 3.4 A. Calculate thei) inductance of the solenoid.ii) energy stored in the solenoid.iii) induced emf in the solenoid if the current drops uniformly to zero in 55 ms.

Answered: Image /qna-images/answer/93328e56-fc03-4f9a-be29-05e23d4027cf.jpg

) A 400-turn solenoid has a cross-sectional area 1.81 x 10-3 m² and length 20 cm carrying a current of 3.4 A. Calculate the i) inductance of the solenoid. ii) energy stored in the solenoid. iii) induced emf in the solenoid if the current drops uniformly to zero in 55 ms.

) A 400-turn solenoid has a cross-sectional area 1.81 x 10-3 m² and length 20 cm carrying a current of 3.4 A. Calculate the i) inductance of the solenoid. ii) energy stored in the solenoid. iii) induced emf in the solenoid if the current drops uniformly to zero in 55 ms.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 13.9CYU: Check Your Understanding A long solenoid of cross-section area 5.0 cm2is wound with 25 turns of wire...

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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

question c

1) a)
movement of solenoid
magnet
solenoid
resistor
Figure 1
The solenoid in Figure 1 is moved at constant velocity towards a fixed bar magnet.
Using Lenz's law, determine the direction of the induced current through the resistor.
Explain your answer.
b) A solenoid of radius 5 cm has 200 turns and length of 15 cm. Calculate the
i) inductance
ii) rate at which current must change for it to produce an induced emf of 50 mV.
c) A 400-turn solenoid has a cross-sectional area 1.81 x 10-3 m² and length 20 cm
carrying a current of 3.4 A. Calculate the
i) inductance of the solenoid.
ii) energy stored in the solenoid.
iii) induced emf in the solenoid if the current drops uniformly to zero in 55 ms.

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