RLC Circuit

Question

Answer 1

(a)

Observe the circuit:

The input sine voltage is V.

Compare the function with .

Here Angular frequency  Hz.

,  and are in series.

For series RLC circuit,

Total impedance is

Total impedance is .

Answer 2

(b)

Find total current in the circuit.

The input voltage .

Average voltage .

From ohms law:  .

From part (a) .

In poolar form, .

Answer 3

(c)

Find the voltage drop across the resistor.

.

From part(b):  and .

In polar form, .

Answer 4

(d)

Find voltage through inductor.

From part (b): .

From part (a): .

In polar form,  V.

Inductor voltage lags inductor current by .

Voltage through Inductor  V.

Answer 5

(e)

Find the voltage across capacitor.

From part(a): .

In polar form, .

Capacitor voltage lags Capacitor current by .

Voltage across capacitor .