A current with sinusoidal time-dependence, whose peak value is 6.55 A and freque

Question

A current with sinusoidal time-dependence, whose peak value is 6.55 A and frequency is 775 cycles per second, passes through a long straight wire. A rectangular 18.2 cm

A current with sinusoidal time-dependence, whose peak value is 6.55 A and frequency is 775 cycles per second, passes through a long straight wire. A rectangular 18.2 cm x 8.19 cm loop of copper wire is located 20.2 cm from the wire and is coplanar with it. Calculate the average power dissipated by the loop, if its resistance is 74.3 Q.

Explanation / Answer

V = dFi/dt

= d(mu*I/2pi*r)*(0.0819.dr)/dt

I = 6.55*sin(2pi*f*t)

= 2*10^-7*6.55*2*pi*775*0.0819*ln(40/20.2)*cos(2pi*775t)

V=0.0003569*cos(2pi*775t)

W = Vrms^2/R

= 0.0003569^2/2*74.3

= 8.57e-10 W

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