Problem 33.37 A 4.0-cm-diameter loop with resistance 0.20 Ohm around a 2.0-cm-di

Question

Problem 33.37 A 4.0-cm-diameter loop with resistance 0.20 Ohm around a 2.0-cm-diameter solenoid. The solenoid is 14cm 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 s

I(0.5) = 0 (because there is no change in megnetic flux through the loop)

B) magnetic field produced by solenoid, B = mue*N*I/L

induced emf = the rate of change if magnetic flux through the loop

= A*dB/dt (here A is area of solenoid)

= A*(mue*N/L)*dI/dt

= pi*0.01^2*(4*pi*10^-7*100/0.14)*(20-(-20))/1

= 1.128 volts

I(1.5) = induced emf/R

= 1.128/0.2

= 5.64 A

C) at t = 2.5 s

I(2.5) = 0 (because there is no change in megnetic flux through the loop)

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