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A resistor and a capacitor are connect...

A resistor and a capacitor are connected in series to a 50 Hz ac source . The voltage (rms ) acrooss the resistor and capacitor are 151 V and 160.3 V respectively Calculate the rms voltage of the source .Also find the capactive reactance adn impedance of the circuit , if the circuit is 0.755 A .

Text Solution

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`V_R =151 V ,V_C =160.3 V`
`V_(rms) = sqrt(V_(R)^(2) +V_(C)^(2))`
`= sqrt((151)^2 +(160 .3)^2)`
` V_(rms) = 220V `
Capacitive reactance :
`V_C =I X_C`
`X_C = (V_C)/(I ) = (160.3)/(0.755 )`
` X_C = 212.31 Omega `
impedance :
` Z=(V_(rms))/(I ) = (220 )/(0.755)`
`Z = 291.39 Omega `
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