A long, straight solenoid with a cross-sectional area of 8.00 cm2 is w

idiopatia0f

idiopatia0f

Answered question

2021-12-14

A long, straight solenoid with a cross-sectional area of 8.00 cm2 is wound with 90 turns of wire per centimeter, and the windings carry a current of 0.350 A. A second winding of 12 turns encircles the solenoid at its center. The current in the solenoid is turned off such that the magnetic field of the solenoid becomes zero in 0.0400 s. What is the average induced emf in the second winding?

Answer & Explanation

MoxboasteBots5h

MoxboasteBots5h

Beginner2021-12-15Added 35 answers

Expression for magnetic field
B=μ0ni
Where,
μ0=4π×107 nA2
Given values:
n=90 per cm to per m=9000
i=0.350 A
Placing all known values in equation
B=3π×107×90×102×0.350 A
=3.9×103 T
Expression for average induced emf-
ϵ=NABt
Where,
N=12
A=8 cm2=8×104 m2
B=3.9×104 m2
t=0.04 s
Placing known values give us-
ϵ=12×(8×104 m2)3.9×103 T0.04 s
=9.3×104 V

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