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A conductor of length ‘l’ is rotated about one of its ends at a constant angular speed ‘ω’ in a plane perpendicular to a uniform magnetic field B. Plot graphs to show variations of the emf induced

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Question

A conductor of length ‘l’ is rotated about one of its ends at a constant angular speed ‘ω’ in a plane perpendicular to a uniform magnetic field B. Plot graphs to show variations of the emf induced across the ends of the conductor with

  1. angular speed ω and
  2. length of the conductor l.
Graph
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Solution 1

Induced emf  (E) = `(B omega l^2)/2`

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Solution 2

i. e = `1/2 B omega L^2`

So, e ∝ ω

ii. e = `1/2 B omega L^2`

So, e ∝ L2

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2019-2020 (March) Delhi Set 2

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