A resistor of resistance 400 ohm and a capacitor of reactance 200 ohm are connected in series ot a 200 V, 50 Hz source. If the current in the circuit is 0.49 A, find the voltage across the resistor and capacitor. What is the value of inductance required so that ane current are in phase ?

Explanation

Here, `R = 400 Omega, X_(C ) = 200 ohm`,
`E_(v) = 220 V, v = 50 Hz`
`I_(v) = 0.49 A, V_(R ) = ?, V_(C ) = ?, V_(L) = ?`
`V_(R ) = I_(v) R = 0.49 xx 400 = 196 V`
`V_(C ) = I_(v) X_(C ) = 0.49 xx 200 = 98 V`
When V and I are in same phase,
`X_(L) = X_(C ) = (X_(C ))/(2 pi v) = (200)/(2 xx 3.14 xx 50) = 0.64 H`