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First, you will need to convert to the frequency domain.

ZR = R; Zc = 1/(jwc); ZL = jwL; w = 50Hz*2pi = 100pi

ZR = 25 ohm; Zc = -j80 ohms; v = 240*cos(100pi + 0)V

Second, combine the impedances, in series.

Zeq = ZR + Zc = 25-j80 ohms

Finally use Ohm's law to find the current. v = i*Z

i = 240 V / 25-j80 ohms = 2.9*e^(j73)A

2.9*e^(j1.28) has a magnitude of 2.9A and a phase of 73 degrees.

Now, you may need to convert back to the time domain.

i = 2.9cos(100pi + 73)A

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Q: A resistor of 25ohm is connected in series with capacitor of 45microfarad calculate impedance and current taken from 240volts 50Hz supply please tell how to solve or formulas please?
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