Q83 / 91 · KVPY 2020 (SB/SX) · Physics

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.

Figure

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

  • A
    Figure
  • Correct answer
    B
    Figure
  • C
    Figure
  • D
    Figure

Solution

Figure

VBℓ-Ldidt=0

VBℓ=Ldidt

⇒didt=VBℓL

=+ve  slope

x=ut⇒dxdt=V

didx=BℓL=+ve slope

Hence, the correct answer is option: 'B'.

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