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Q.

When 100 volt DC is applied across a coil, a current of 1 A flows through it. When 100 volt AC at 50 cycles/second is applied to the same coil, only 0.5 ampere current flows. The inductance  of the coil is

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a

2πH

b

3πH

c

4πH

d

5πH

answer is B.

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Detailed Solution

When DC is supplied, R=Vi=1001=100 ΩWhen AC is supplied, Z=Vi=1000.5=200 Ω Now R2+XL2=Z2 ⇒XL=2002 -1002 Ω=1003Ω Therefore L=1003100π H=3π Ω
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