A coil of wire of radius r has 600 turns and self-inductance of 108 mH . The self-inductance of a coil with…

A coil of wire of radius r has 600 turns and self-inductance of 108 mH. The self-inductance of a coil with the same radius and 500 turns is
  1. $80 \, mH$
  2. $75 \, mH$
  3. $108 \, mH$
  4. $90 \, mH$

Solution

Given L1=108 mH, N1=600 turns, N2=500 turns and L2=?

By self - inductance of a plane coil

L1=μ0πN12a12 ......(i)

L2=μ0πN22a22 ......(ii)

From the equations (i) and (ii), we get

L1L2=N1N22   a1=a2

108L2=6005002

L2=108×2536

L2=3×25=75 mH ^

Asked in: MHT CET Full Test 3

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