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Question: When 4 V DC is connected across an inductor current is 0.2 A. When AC of 4 V is applied the current ...

When 4 V DC is connected across an inductor current is 0.2 A. When AC of 4 V is applied the current is 0.1 A. Then self inductance of the coil is ……….; w = 1000 rads–1

A

20 mH

B

40 mH

C

203\sqrt { 3 }mH

D

203\sqrt { 3 }mH

Answer

203\sqrt { 3 }mH

Explanation

Solution

Z = 40.1\frac { 4 } { 0.1 } =40W = R2+(ωL)2\sqrt { \mathrm { R } ^ { 2 } + ( \omega \mathrm { L } ) ^ { 2 } } \R=40.2\frac { 4 } { 0.2 }= 20 W

Lw = 203\sqrt { 3 } Mh