A long solenoid with radius a and n turns per unit length carries a time-dependent current I(t) = lo (1-e-at) in the direction. 1) Find the electric field (magnitude and direction) at time t > 0 and a distance s from the axis of the solenoid (both inside and outside the solenoid), in the quasi-static approximation. 2) At distance d = 2a from the axis of the solenoid, plot the magnitude of the electric field as a function of time. 3) Discuss the behavior of the electric field over time.
A long solenoid with radius a and n turns per unit length carries a time-dependent current I(t) = lo (1-e-at) in the direction. 1) Find the electric field (magnitude and direction) at time t > 0 and a distance s from the axis of the solenoid (both inside and outside the solenoid), in the quasi-static approximation. 2) At distance d = 2a from the axis of the solenoid, plot the magnitude of the electric field as a function of time. 3) Discuss the behavior of the electric field over time.
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Transcribed Image Text:A long solenoid with radius a and n turns per unit length carries a time-dependent current I(t) =
Io (1e-at) in the
direction.
1) Find the electric field (magnitude and direction) at time t > 0 and a distances from the
axis of the solenoid (both inside and outside the solenoid), in the quasi-static
approximation.
2) At distance d = 2a from the axis of the solenoid, plot the magnitude of the electric field
as a function of time.
3) Discuss the behavior of the electric field over time.
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