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4. The U-shaped conductor in Fig. 3 lies perpendicular to a uniform magnetic fie

ID: 1864471 • Letter: 4

Question

4. The U-shaped conductor in Fig. 3 lies perpendicular to a uniform magnetic field B0.6T. A 10 cm long metal rod is being slided against the two arms of the conductor to the right at a constant speed v 2.5 m/s. What is the magnitude of resulting emf? [Ans: 0.15 V] 5. In Fig. 3 find the direction of the current (applying Lenz's law) induced and the direction of the force exerted on the rod by resulting induced magnetic field. [Ans: Induced current is counterclockwise 6. Fig. 4 shows two concentric circular conducting coils. Let's assume counterclockwise current (viewed from the above) as positive and the clockwise one as negative. The graph below shows the variation of current in the outer loop as a function of time. Plot the variation of corresponding induced current in the inner loop. outer Fig. 4 Fig. 3

Explanation / Answer

4)

The magnitude of the resulting emf is given by the following relation:

E = BLv

= 0.6*0.10*2.5

= 0.15 V (ans)

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