A long solenoid of radius a with n turns per unit length is carrying a time-dependent current I(t) = sin(wt), where I and w are constants and positive current means the current is moving counterclockwise when viewed from above. The solenoid is surrounded by a wire of resistance R that has two circular loops of radius b with b > a. Find the current induced in the outer loops as a function of time, using the same sign convention. When viewed from above, which direction, clockwise or counterclockwise, is the current in the outer loops flowing at time t = 0? a
A long solenoid of radius a with n turns per unit length is carrying a time-dependent current I(t) = sin(wt), where I and w are constants and positive current means the current is moving counterclockwise when viewed from above. The solenoid is surrounded by a wire of resistance R that has two circular loops of radius b with b > a. Find the current induced in the outer loops as a function of time, using the same sign convention. When viewed from above, which direction, clockwise or counterclockwise, is the current in the outer loops flowing at time t = 0? a
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Transcribed Image Text:A long solenoid of radius a with n turns per unit length is carrying a time-dependent current
I(t) = Isin(wt), where I and w are constants and positive current means the current is moving
counterclockwise when viewed from above. The solenoid is surrounded by a wire of resistance R
that has two circular loops of radius b with b > a. Find the current induced in the outer loops as a
function of time, using the same sign convention. When viewed from above, which direction,
clockwise or counterclockwise, is the current in the outer loops flowing at time t = 0?
a
b
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