plz answer this question :- A resistor of 200 ohm and a capacitor of 15 micro F are connected in - Physics - Alternating Current

Question

plz answer this question :- A resistor of 200 ohm and a
capacitor of 15 micro F are connected in series to a 220V, 50 Hz a
c source Calculate the current in the circuit and the r m s voltage
across the resistor and capacitor

Vijay Yadav · Accepted Answer

Given that R = 200Î© C = 15 Î¼F = 15 Ã— 10â€“6 F Î¾ = Î¾ sinÏ‰t Î¾ = 220 V f = 50 Hz W = 2Ï€f = (100Ï€) rad/s Î¾ = 220 sin (100Ï€) Reactance of capacitor $X_{C} = \frac{1}{ω ϵ}$ $= \frac{1}{(100 - π) \times 15 \times 10^{- 6}} = \frac{10^{6}}{314 \times 15} = 212 31 Ω$ So, impedance $Z = \sqrt{R^{2} + X^{2}}$ $= \sqrt{(200)^{2} + (212 31)^{2}} = 291 67 Ω$ $I = \frac{ξ}{Z} = \frac{220 sin (100 π t)}{291 67} = 0 75 \sin (100 π t)$ Irms = 0 75A Voltage across capacitor VR = Irms Ã— XC = 0 75 Ã— 200 = 150 volt Voltage across capacitor VC = Irms Ã— XC = 0 75 Ã— 212 31 = 159 23 volt

plz answer this question :- A resistor of 200 ohm and a capacitor of 15 micro F are connected in series to a 220V, 50 Hz a.c. source . Calculate the current in the circuit and the r.m.s. voltage across the resistor and capacitor.