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BITSAT2013PhysicsElectromagnetic InductionActual

Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area A =10 ~cm ² and length =20 ~cm . If one of the solenoid has 300 turns and the other 400 turns, their mutual inductance is ( ₀=4 10⁻⁷ TmA ⁻¹ )

Options

  1. A2.4 10⁻⁵ H
  2. B4.8 10⁻⁴ H
  3. C4.8 10⁻⁵ H
  4. D2.4 10⁻⁴ H

Correct answer

D. 2.4 10⁻⁴ H

Step-by-step solution

aligned M &= ₀ ~N ₁ ~N ₂ ~A &= 4 10⁻⁷ 300 400 100 10⁻⁴ 0.2 &=2.4 10⁻⁴ H aligned #

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