Answered: Figure P20.18

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter9: Energy In Nonisolated Systems

Section: Chapter Questions

Problem 13PQ

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Question

A square, single-turn wire loop
, l = 1.00 cm on a side is placed
inside a solenoid that has a circular
cross section of radius r =
3.00 cm, as shown in the end view
of Figure P20.18. The solenoid is
20.0 cm long and wound with 100
turns of wire. (a) If the current
in the solenoid is 3.00 A, what is
the flux through the square loop?
(b) If the current in the solenoid is
reduced to zero in 3.00 s, what is the magnitude of the average
induced emf in the square loop?

Expert Solution

Step 1

Given:

Current in the coil = 3 A

Number of turns = 100

Length of the coil = 0.2 m

Step 2

Calculating the magnetic field in the loop:

Formula for magnetic field in the square loop,
B= µọI (4)
l is the length of the coil
• Nis the number of turns in the coil
• Iis the current in the coil
Substitute 100 turns for N, 3 A for I, 0.200 m for land 47 x 10-7 Tm/A in
the above expression to get B.
B= (4T x 10-7 Tm/A) (3.00 A) (100 turns
= 1.88 x 10 3T
0.200 m

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