A square loop of side length a =3.1 cm is placed a distance b = 1.05 cm from a long wire carrying a current that varies with time at a constant rate, i.e. I(t) = Qt, where Q = 5.3 A/s is a constant. (a)  Find an expression for the magnetic field due to the wire as a function of time t at a distance r from the wire, in terms of a, b, Q, t, r, and fundamental constants.  (b)  What is the magnitude of the flux through the loop? Select the correct expression.  (c)  If the loop has a resistance of 8.5 Ω, how much induced current flows in the loop?  (d)  In what direction does this current flow?

An Introduction to Physical Science
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Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
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Chapter1: Measurement
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A square loop of side length a =3.1 cm is placed a distance b = 1.05 cm from a long wire carrying a current that varies with time at a constant rate, i.e. I(t) = Qt, where Q = 5.3 A/s is a constant.

(a)  Find an expression for the magnetic field due to the wire as a function of time t at a distance r from the wire, in terms of abQtr, and fundamental constants. 

(b)  What is the magnitude of the flux through the loop? Select the correct expression. 

(c)  If the loop has a resistance of 8.5 Ω, how much induced current flows in the loop? 

(d)  In what direction does this current flow? 

 

a
b
I
Transcribed Image Text:a b I
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