A 1 m long metal rod X Y completes the circuit as shown in figure. The plane of the circuit is perpendicular to the magnetic field of flux density 0 . 15 T . If the resistance of the circuit is 5 Ω ,

Question

A 1 m long metal rod X Y completes the circuit as shown in figure. The plane of the circuit is perpendicular to the magnetic field of flux density 0 . 15 T . If the resistance of the circuit is 5 Ω , the force needed to move the rod in direction, as indicated, with a constant speed of 4 m s - 1 will be _______ 10 – 3 N .

TestHub · Accepted Answer

The force on the rod is given by F = i l B ⇒ F = B v l R × l B ⇒ F = B 2 l 2 v R . . . ( i ) The data given is R = 5 Ω l = 1 m v = 4 m s - 1 B = 0 . 15 T Substituting the values in equation (i) F = 0 . 15 2 × 1 2 × 4 5 = 18 × 10 - 3 N

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