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Electromagnetic Induction

Question
CBSEENPH12048012

The self-inductance of a coil having 400 turns is 10 mH. The magnetic flux through the cross-section of the coil corresponding to current 2 mA is

  • 2 × 10-5 Wb

  • 2 × 10-3 Wb

  • 3 × 10-5 Wb

  • 8 × 10-3 Wb

Solution

A.

2 × 10-5 Wb

Number of turns N = 400

L = 10 mH = 10 × 10-3 H

I = 2 mA = 2 × 10-3 A

Total magnetic flux linked with the coil,

 ϕ = N L I

     = 400 × ( 10 × 10-3 ) × 2 × 10-3

ϕ = 8 × 10-3 Wb

Magnetic flux through the cross-section of the coil = Magnetic flux linked with each turn

                = ϕN

                = 8 × 10-3400

                  = 2 ×  10-5 Wb

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