A 10 cm long perfectly conducting wire is moving with a velocity on a pair of horizontal rails of zero resistance. One side of the rails is connected to an inductor and a resistance as shown in fi

Question

A 10 cm long perfectly conducting wire  is moving with a velocity  on a pair of horizontal rails of zero resistance. One side of the rails is connected to an inductor  and a resistance  as shown in figure. The horizontal rails,  and  lie in the same plane with a uniform magnetic field  perpendicular to the plane. If the key  is closed at a certain instant, the current in the circuit after 1 millisecond is  A, where the value of  is . [Assume the velocity of wire  remains constant (); given ]

Canvas Classes · Accepted Answer

🎯
- Find the current 1 ms after the key closes in an LR circuit driven by a constant motional emf.

💡 The moving rod is a constant emf source ; the current then grows like a standard LR circuit,  with .

✏️
 V. Steady current  A.
 ms, so at  ms, :
 A.
Hence .

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