Problem 30.14 Enhanced with Feedback The figure shows a 26-cm-diameter loop in t

Question

Problem 30.14 Enhanced with Feedback The figure shows a 26-cm-diameter loop in three different magnetic fields. The loop's resistance is 0.26 2 You may want to review (DA ages 849-851 Figure 1 of 3 (a) B increasing at 0.50 T/s Part A In (Figure 1), what are the size and direction of the induced current? Express your answer to two significant figures and include the appropriate units I Value Units Submit My Answers Give Up Part B The loop current direction is ccw. The loop current direction is cw. There is no induced current. Submit My Answers Give Up

Explanation / Answer

We know from faraday's law that induced emf is given by

e = -d(phi)/dt = - d(BA)/dt = A dB/dt

A) e = A dB/dt

e = pi r^2 (dB/dt)

e = 3.14 x 0.13^2 x 0.5 = 0.0265 V

I = V/R = e/R = 0.0265/0.26 = 0.102 A

Hence, I = 0.102 A

B)Direction should be CCW

C) e = A dB/dt

e = pi r^2 (dB/dt)

e = 3.14 x 0.13^2 x 0.5 = 0.0265 V

I = V/R = e/R = 0.0265/0.26 = 0.102 A

Hence, I = 0.102 A

D)direction is cw.

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