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Q.

When a coil is connected to a D.C source of emf 12V, a current of 4 amp flows in it. If same coil is connected to 12V, 50Hz AC source, the current is 2.4 A. The self inductance of the coil is

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a

110π

b

125π

c

15π

d

120π

answer is C.

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Detailed Solution

Resistance offered by the coils is R = V/I = 12/4 = 3 Ohm

Impedance offered by the coil is Z=R2+XL2=12/2.4=5Ω

32+XL2=5 ⇒XL=ωL=4Ω

⇒L=42πf=4100π=125πH

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When a coil is connected to a D.C source of emf 12V, a current of 4 amp flows in it. If same coil is connected to 12V, 50Hz AC source, the current is 2.4 A. The self inductance of the coil is