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A current of 4 A flows in a coil when co...

A current of 4 A flows in a coil when connected to a 12 V dc source. If the same coil is connected to a `12 V, 50 rad s^(-1)` ac source, a current of 2.4 A flows of the coil in the circuit.
The power developed in the circuit of a `2500 (mu)F` capacitor that is connected in series with the coil is

Text Solution

Verified by Experts

The correct Answer is:
`08 H; 17.28` watt
Given that
`R=V/I=12/4=3 Omega`
`Z=12/2.4=5 Omega`
`Z^(2)=R^(2)+(omegaL)^(2)`
`25=p+(50xxL)^(2) rArr L=0.08 H`
Now for `LCR` circuit `Z=sqrt((R^(2):(X_(L)-X_(C))^(2)` )
`=sqrt(3^(2)+(50xx0.08-1/(50xx2500xx10^(-5)))^(2))=5Omega`.
So Power=`(12/Z)^(2)xxR=(12/5)^(3)xx3=17.28` watt.
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