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An inductor and a bulb are connected in ...

An inductor and a bulb are connected in series to an AC source of 220V, 50Hz. 7C A current of 11A flows in the circuit and phase angle between voltage and current is `(pi)/(4)` radians. Calculate the impedance and inductance of the circuit

Text Solution

Verified by Experts

`V_(rms)=11 A phi =(pi)/(4)`
also `tan phi =(X_(L))/(R )`
`X_(L)=R(1)=R`
`R=(z)/sqrt(2)`
`=20/1.414`
put in eqn `rarr X_(L)=14.14 Omega`
or `OmegaL=14.14 or L`
`=(14.14)/(omega)`
=`(14.14)/(2xx31.42xx50)`
`L=(14.14)/(314.2)`
`L=0.045 H`
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