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KVPY2020PhysicsElectromagnetic Induction

Suppose a long rectangular loop o width w is moving along the x -direction with its left arm in magnetic field perpendicular to the plane of the loop (see figure). The resistance of the loop is zero and it has an inductance L . At time, t = 0 , its left arm passes the origin, O . If for t ≥ 0 , the current in the loop is I and the distance of its left arm from the origin is x , then I versus x garph will be

Correct answer

1

Step-by-step solution

V B ℓ - L d i d t = 0 V B ℓ = L d i d t ⇒ d i d t = V B ℓ L = + v e slope x = u t ⇒ d x d t = V d i d x = B ℓ L = + v e slope

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