Question

a 0.5micro farad capacitor, a 20 ohm resistor and a0.050 h inductor are connected in series across a 25 v,1000hz power source. calculate the voltage readings across the capacitance and inductance

Answer 1

The voltage across the capacitor is 388.34 V

The voltage across the inductor is 383.3 V.

How to calculate the voltage across the capacitor and inductor?

The voltage readings across the capacitance and inductance is calculated by applying the following formula as shown below;

The capacitive reactance;

Xc = 1/2πfc

where;

• f is the frequency
• c is the capacitance

Xc = 1 / (2π x 1000 x 0.5 x 10⁻⁶)

Xc = 318.31 ohms

The inductive reactance is calculated as;

Xl = 2πfL

Xl = 2π x 1000 x 0.05

Xl = 314.16 ohms

The impedance of the circuit is calculated as;

Z = √[(Xc - Xl)² + R²]

Z = √[(318.31 - 314.16)² + 20²]

Z = 20.43 ohms

The current in the circuit is;

I = V/Z

I = 25 V / 20.43

I = 1.22 A

The voltage across the capacitor is;

Vc = 1.22 A x 318.31

Vc = 388.34 V

The voltage across the inductor is;

Vl = 1.22 A x 314.16

Vl = 383.3 V