A long solenoid of radius a carrying n turns per unit length is looped by a wire of resistance R as shown in the figure 6. O Figure 6: A solenoid looped by a wire of resistance R dI (t) dt R a) The current I(t) in the solenoid is decreasing at a constant rate = -α, and a is a positive constant. The magnetic field inside the solenoid is B = Mont. (i) Derive an expression for the induced current that flows through the loop. (iii) Use Faraday's Law (ii) Copy the drawing in your submission and indicate the direction of the induced current through the loop. Justify your answer. f E. dï* = - d aff dt and find the direction and magnitude of the electric field inside the solenoid. B.d.S

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A long solenoid of radius a carrying n turns per unit length is looped by a wire of resistance R as
shown in the figure 6.
O
Figure 6: A solenoid looped by a wire of resistance R
dI (t)
dt
R
a) The current I(t) in the solenoid is decreasing at a constant rate = -α, and a is a positive
constant. The magnetic field inside the solenoid is B = Mont.
(i) Derive an expression for the induced current that flows through the loop.
(iii) Use Faraday's Law
(ii) Copy the drawing in your submission and indicate the direction of the induced current
through the loop. Justify your answer.
f E. dï* = -
d
aff
dt
and find the direction and magnitude of the electric field inside the solenoid.
B.d.S
Transcribed Image Text:A long solenoid of radius a carrying n turns per unit length is looped by a wire of resistance R as shown in the figure 6. O Figure 6: A solenoid looped by a wire of resistance R dI (t) dt R a) The current I(t) in the solenoid is decreasing at a constant rate = -α, and a is a positive constant. The magnetic field inside the solenoid is B = Mont. (i) Derive an expression for the induced current that flows through the loop. (iii) Use Faraday's Law (ii) Copy the drawing in your submission and indicate the direction of the induced current through the loop. Justify your answer. f E. dï* = - d aff dt and find the direction and magnitude of the electric field inside the solenoid. B.d.S
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