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Magnetic Field Due to a Circular Ring on the Axis

The conductin...

Question

The conducting rod $a b$ , as shown in figure makes contact with metal rails $c a$ and $d b$ . The apparatus is in a uniform magnetic field of $0.800 T$ , perpendicular to the plane of the figure. Find the magnitude of the emf induced in the rod when it is moving toward the right with a speed $7.50 m / s$ .(in $V$ )

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Solution

When a rod of length $l$ moving with a velocity $v$ in a perpendicular magnetic field $B$ , the induced emf $= B l v = 0.8 (50 / 100) 7.5 = 3 V$

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