Part II. Word Problems Directions: Solve each problem. Show your work to receive

Question

Part II. Word Problems Directions: Solve each problem. Show your work to receive full credit. Include the appropriate SI unit in your final answers. Unless otherwise stated, assume ideal and uniform conditions (no friction, constant mass, etc.) Problem 1 A circular conducting loop of radius 42 cm lies in the xy-plane. There is a magnetic field B 0.81 3t2 +2t3)k, where t is in seconds and B is in teslas. The value of the resistor is 12?. (A) Determine the induced current in the loop at 0.5 s. (B) What is the direction of the induced current in the resistor: from a to b, or from b to a? Explain your reasoning. 12?

Explanation / Answer

(A) induced emf = -d(flux)/dt

e = -A dB/dt

e = -(pi 0.42^2)(0.8(-6t + 6t^2))

e = -(0.8 pi 0.42^2) (- 6*0.5 + 6(0.5^2))

e = 0.665 Volt

I = e/ R = 0.665/12 = 0.0554 A or 55.4 mA

(B) field is out of page and field is decreasing.

so flux will decrease.

induced current will oppose this so field due to induced current will be out of page.

hence counterclockwise current

Ans: b to a

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