A 4.0-cm-diameter loop with resistance 0.10 around a 2.0-cm-diameter solenoid. T

Question

A 4.0-cm-diameter loop with resistance 0.10 around a 2.0-cm-diameter solenoid. The solenoid is 12 cm long, has 100 turns, and carries the current shown in the graph. A positive current is cw when seen from the left.
(Figure 1)

Part A

Find the current in the loop at t = 0.5s.

Express your answer as an integer and include the appropriate units.

Part B

Find the current in the loop at t = 1.5s.

Express your answer to two significant figures and include the appropriate units.

Part C

Find the current in the loop at t = 2.5s.

Express your answer as an integer and include the appropriate units.

Explanation / Answer

A) at t = 0.5 sec ,since there is no change in current in solenoid hence there is no cange in magnetic flux linked with the solenoid

hence no curent induces in coil at 0.5 sec

so the answer at t = 0.5 sec is I = 0 A

B) at t = 1.5 sec

I = [(mu_o*N*pi*r^2)/(R*l)]*(dI/dt)

I = ((4*3.142*10^-7*100*3.142*0.01^2)/(0.1*0.12))*((20+20)/1)

I = 132*10^-6 A

C) at t = 2.5 sec

di/dt = 0

hence I = 0 A

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