A rectangular loop of width w and height h is set in the plane of the page so that one side is a distances from a long cable. The long cable carries a current I. [Hint: Type "pi" for and "mu_0" for μo-] (a) Write an expression for the magnetic flux through the loop in terms of I, w, h, and s. + = mu_0lw/(2pi)In((h+s)/s) The current in the wire decreases according to the equation I = Ae-kt. The rectangular loop has a resistance R. Answer the following in terms of A, k, R, w, h, and s. (b) Write an expression for the current induced in the loop as a function of time. Iloop = W (c) What is the total energy dissipated in the loop from t = 0 to t = infinity? E =

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A rectangular loop of width w and height h is set in the plane of the page so that one side is a distance s from a long cable. The long cable carries a current I.

 

A rectangular loop of width w and height h is set in the plane of the page so that one side is a distances from a long cable. The long cable carries a current I.
[Hint: Type "pi" for π and "mu_0" for μo.]
(a) Write an expression for the magnetic flux through the loop in terms of I, w, h, and s.
mu_0lw/(2pi)ln((h+s)/s)
W
The current in the wire decreases according to the equation I = Ae-kt. The rectangular loop has a resistance R. Answer the following in terms of A, k, R, w, h, and s.
(b) Write an expression for the current induced in the loop as a function of time.
Iloop=
(c) What is the total energy dissipated in the loop from t = 0 to t = infinity?
Transcribed Image Text:A rectangular loop of width w and height h is set in the plane of the page so that one side is a distances from a long cable. The long cable carries a current I. [Hint: Type "pi" for π and "mu_0" for μo.] (a) Write an expression for the magnetic flux through the loop in terms of I, w, h, and s. mu_0lw/(2pi)ln((h+s)/s) W The current in the wire decreases according to the equation I = Ae-kt. The rectangular loop has a resistance R. Answer the following in terms of A, k, R, w, h, and s. (b) Write an expression for the current induced in the loop as a function of time. Iloop= (c) What is the total energy dissipated in the loop from t = 0 to t = infinity?
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