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The angular frequency of alternating cur...

The angular frequency of alternating current in a L-C-R circuit is 100 rad/s. The components connected are shown in the figure. Find the value of inductance of the coil and capacity of condenser.

A

1.33H and `250 muF`

B

0.8H and `250 muF`

C

0.8H and `150 muF`

D

1.33H and `150 muF`

Text Solution

Verified by Experts

The correct Answer is:
B
Current through `60Omega` resistance `=15/60 =1/4A`
Thus, capacitor current `= 1/4A`
`:. V_c = IX_c`
`10 =1/4 xx1/(omegaC)`
`:. C =1/(40 omega)=1/(4000)=250 muF`
Now,
Current through `40Omega` resistance `= 20/40 =1/2 A`
Thus, current through inductor `= 1/2 -1/4 =1/4 A`
`V_L =IX_L =1/4 xxomegaL`
`20 = 1/4 xx100 xxL`
`implies L = 0.8 H`
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