A rectangular wire loop with length a and width b lies in the xy-plane, as shown below. Within the loop there is a time-dependent magnetic field given by B(t) = C(x cos(wt))i + (y sin(wt))k), with B(t) in teslas. Determine the emf induced in the loop as a function of time. (Enter the magnitude. Use the following as necessary: a, b, w, t and C.)

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Chapter13: Electromagnetic Induction
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Problem 69AP: The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm...
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A rectangular wire loop with length a and width b lies in the xy-plane, as shown below. Within the loop there is a time-dependent magnetic field given by B(t) = C( (x cos(wt))î + (y sin(wt))k ), with B(t) in teslas.
Determine the emf induced in the loop as a function of time. (Enter the magnitude. Use the following as necessary: a, b, w, t and C.)
a
B() =
= C(xî cos wt + yk sin wt)
|ero| -||
Transcribed Image Text:A rectangular wire loop with length a and width b lies in the xy-plane, as shown below. Within the loop there is a time-dependent magnetic field given by B(t) = C( (x cos(wt))î + (y sin(wt))k ), with B(t) in teslas. Determine the emf induced in the loop as a function of time. (Enter the magnitude. Use the following as necessary: a, b, w, t and C.) a B() = = C(xî cos wt + yk sin wt) |ero| -||
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