The resistor, 10 ohms, an inductor, 8.2 mH, and a capacitor, 100 micro F, are co

Question

The resistor, 10 ohms, an inductor, 8.2 mH, and a capacitor, 100 micro F, are connected in series with an AC source (216 V, 60 Hz). Find the impedance of the circuit, current in the circut, phase between current and voltage. The resistor, 10 ohms, an inductor, 8.2 mH, and a capacitor, 100 micro F, are connected in series with an AC source (216 V, 60 Hz). Find the impedance of the circuit, current in the circut, phase between current and voltage. The resistor, 10 ohms, an inductor, 8.2 mH, and a capacitor, 100 micro F, are connected in series with an AC source (216 V, 60 Hz). Find the impedance of the circuit, current in the circut, phase between current and voltage.

Explanation / Answer

Here ,

Z = R + j (2*pi*f*L - 1/(2*pi*f*C))

Z = 10 + j (2*pi*60*0.0082 - 1/((2*pi*60*100*10^-6))

Z = 10 - 23.43 j Ohm

Z = sqrt(10^2 + 23.43^2)

Z = 25.5 Ohm

the impedance in the circuit is 25.5 ohm

Now , using ohm's law

I = 216/25.5

I = 8.48 A

the current in the circuit is 8.48 A

phase angle = arctan(23.43/10)

phase angle = 66.9 degree

the phase angle between current and voltage is 66.9 degree

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