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Maximum Strength

What is the maximum electric field strength at a point 1.5 cm from the solenoid axis?

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.

Also, of what is the value of B at the instant E reaches its maximum value?

B_z = [10 + 2 sin(20πt)]

2 π r E_φ = -π r² ∂B_z/∂t
=>
E_φ(r) = -r/2 20 π 2 cos(20πt) =
= - r 20 π cos(20πt)
Emax(r) = 20 π r = 20 π 1.5 x 10^(-2) = 0.3 V/m

E is maximum when cos(20πt)=-1, then sin(20πt)=0 => B=0 when E is maximum.
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March 22nd, 2010 | Tags: , , , , | Category: Health | Comments are closed

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