Please make sure that put the final answers in box Problem 34.35 The magnetic fi

Question

Please make sure that put the final answers in box

Problem 34.35 The magnetic field inside a 4.0-cm-diameter superconducting solenoid varies sinusoidally between 8.0 T and 12.0 Tat a frequency of 13Hz. Part A What is the maximum electric field strength at a point 1.4cm from the solenoid axis? Express your answer to two significant figures and include the appropriate units. E max=0.364 V/m Part B What is the value of B at the instant E reaches its maximum value? Express your answer to two significant figures and include the appropriate units. B=0T

Explanation / Answer

(a)
B_z = [10 + 2 sin(26pit)]
2 ? r E_? = -? r2 ?B_z/?t
=>
E_?(r) = -r/2 * 26 * pi * 2 cos(26?t) = = - r * 26 * pi * cos(26pit)
Emax(r) = 26 pi r = 26 pi 1.4 x 10^(-2)
Emax(r) = 1.143 V/m

(b)
E is maximum when cos(26pit) = -1,
then sin(26pit) = 0
=> B = 0 when E is maximum.

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