a) A rectangular loop of wire is subjected to a varyingmagnetic field given by B(t) = 4.0 sin(20 t), where B isin Tesla and t in seconds. The loop has a length of 15 cmand a width of 10 cm. The loop has a resistance of 50 Q.R=50 ohms(i) Calculate the magnitude of the emf (voltage) induced inthe loop as a function of t.(ii) What is the maximum current induced in the loop?b) Explain how electric and magnetic fields are used in an x-ray machine.c) Explain therence between an electric motor and a generator.d) Explain in your own words, the difference between a permanent magnet and an electromagnet.

Answered: a) A rectangular loop of wire is…

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 62PQ

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Question

a) A rectangular loop of wire is subjected to a varying
magnetic field given by B(t) = 4.0 sin(20 t), where B is
in Tesla and t in seconds. The loop has a length of 15 cm
and a width of 10 cm. The loop has a resistance of 50 Q.
R=50 ohms
(i) Calculate the magnitude of the emf (voltage) induced in
the loop as a function of t.
(ii) What is the maximum current induced in the loop?
b) Explain how electric and magnetic fields are used in an x-ray machine.
c) Explain the
rence between an electric motor and a generator.
d) Explain in your own words, the difference between a permanent magnet and an electromagnet.

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“Since you have asked multiple questions, we will solve the first question for you. If you want any specific question to be solved, then please specify the question number or post only that question.”

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Given:

Magnetic field, $B (t) = 4.0 \sin (20 t) T$

loop's length, $l = 15 c m = 15 \times 10^{- 2} m$

loop's width, $b = 10 c m = 10 \times 10^{- 2} m$

Resistance, $R = 50 Ω$

Let's find induced voltage and maximum induced current in loop.

Area of loop, $A = l \times b = 150 \times 10^{- 4} m$

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