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Fig. show a series LCR circuit with L = ...

Fig. show a series LCR circuit with `L = 0.1 H , X_(C ) = 14 Omega` and `R = 12 Omega` connected to a 50 Hz, 200 V source. Calculate
(i) current in the circuit and
(ii) phase angle between current and voltage.
Take `pi = 3`

Text Solution

Verified by Experts

Here, `R = 12 Omega, X_(C ) = 14 ohm`
`E_(v) = 200 V, v = 50 hz, I_(v) = ?, phi = ?`
`X_(L) = omega L = 2 pi v L = 2 xx 3 xx 50 xx 0.1`
`= 30 ohm`.
`Z = sqrt(R^(2) + (X_(L) - X_(C))^(2))`
`= sqrt(12^(2) + (30 - 14)^(2)) = 20 ohm`
`I_(v) = (E_(v))/(Z) = (200)/(20) = 10 A`
`tan phi = (X_(L) - X_(C ))/(R ) = (30 - 14)/(12) = 1.33`
`phi = tan^(-1) (1.33) = 53.13^(@)`
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