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Question: Answered & Verified by Expert
The magnetic field of earth at the equator is approximately 4 × 1 0 - 5 T . The radius of earth is 6.4 × 1 0 6 m . Then the dipole moment of the earth will be nearly of the order of :
PhysicsMagnetic Properties of MatterJEE MainJEE Main 2014 (09 Apr Online)
Options:
  • A 1020 A m2
  • B 1016 A m2
  • C 1010 A m2
  • D 1023 A m2
Solution:
2687 Upvotes Verified Answer
The correct answer is: 1023 A m2


B = μ 0 4 π · M d 3 = 1 0 - 7 × M 6.4 × 1 0 6 3

∴    4 × 1 0 - 5 = 1 0 - 7 × M 6.4 × 1 0 6 3

∴    M = 6.4 × 1 0 6 3 × 4 × 1 0 - 5 1 0 - 7

          = 6.4 3 × 1 0 1 8 × 4 × 1 0 2

          = 6.4 3 × 4 × 1 0 2 0

          = 1 . 0 4 8 × 1 0 2 3 10 23  A m 2

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