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JEE Main2015PhysicsMagnetic Properties of MatterActual

A 25 cm long solenoid has the radius 2 cm and 500 turns. It carries a current of 15 A . If it is equivalent to a magnet of the same size and magnetization M → M a g n e t i c m o m e n t v o l u m e , then M → is:

Options

  1. A3 π   A   m - 1
  2. B30000   A   m - 1
  3. C30000 π   A   m - 1
  4. D300   A   m - 1

Correct answer

B. 30000   A   m - 1

Step-by-step solution

V o l u m e   =   A l M a g n e t i z a t i o n   M → = m a g n e t i c   m o n e n t   V o l u m e   = N o .   o f   t u r n s × C u r r e n t × A r e a V o l u m e = N   I   A A   l = N I l   = 500 × 15 × 100 25 = 60 × 500 = 30 × 10 3 = 30000   A   m - 1

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