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JEE Main 2021 (16 Mar, Shift 2) · Moving Charge in a Magnetic Field

Moving Charge in a Magnetic Field question from JEE Main 2021 (16 Mar, Shift 2)

Q64JEE Main 2021 · 16 MAR · SHIFT 2Easy

Moving Charge in a Magnetic Field

A charge Q is moving dl→\overrightarrow{dl} distance in the magnetic field B⃗\vec{B}. Find the value of work done by B⃗\vec{B}.

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Answer: (a)

  1. dW=F⃗⋅dl⃗=Q(v⃗×B⃗)⋅v⃗ dtdW = \vec{F} \cdot d\vec{l} = Q(\vec{v} \times \vec{B}) \cdot \vec{v}\,dt
  2. v⃗×B⃗\vec{v} \times \vec{B} is perpendicular to v⃗\vec{v}, so dW=0dW = 0.
  3. So the answer is (a) zero.
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