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Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectromagnetic Induction

A conducting rod having length vector l travels with a constant velocity v in a magnetic field B . A potential difference develops across its two ends

Options

  1. Aif ( v B ) l 0
  2. Bif l B
  3. Cif v B
  4. Dif v l

Correct answer

A. if ( v B ) l 0

Step-by-step solution

The motional electromotive force (EMF) induced across the ends of a conducting rod of length vector l moving with velocity v in a magnetic field B is given by the scalar triple product of these three vectors. e = ( v B ) l For a potential difference to develop across the ends of the rod, the induced EMF must be non-zero. e 0 ( v B ) l 0 If l B , v B , or v l , the scalar triple product becomes zero, and no potential difference is developed.

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