Problem 33.58 The magnetic field inside a 4.0-cm-diameter superconducting soleno

Question

Problem 33.58 The magnetic field inside a 4.0-cm-diameter superconducting solenoid varies sinusoidally between 8.0 T and 12.0 T at a frequency of 10 Hz. Part A What is the maximum electric field strength at a point 1.5 cm from the solenoid axis? Express your answer with the appropriate units. Value Units Submit My Answers Give Up Part B What is the value of Bat the instant E reaches its maximum value? Express your answer with the appropriate units. Value nits Submit My Answers Give Up previous l 13 of

Explanation / Answer

B_z = [10 + 2 sin(20t)]

2 r E_ = - r² B_z/t
=>
E_(r) = -r/2 20 2 cos(20t)
= - r 20 cos(20t)
A) Emax(r) = 20 r = 20 1.5 x 10^(-2) = 0.3 V/m

B) E is maximum when cos(20t)=-1, then sin(20t)=0 => B=0 when E is maximum.

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