RC Circuit

Question

Answer 1

(1)

Step 1:

Observe the circuit:

The input sine voltage is .

Compare the function with .

Here and .

Find the total impedance.

and are in parallel.

.

can be written in polar form as .

Step 2:

in polar form can be written as .

The sine voltage can be written as 

Total impedance .

Find the total current.

Current in sinusoidal form: .

.

Substitute corresponding values in the expression .

Total current is  A.

Solution:

 can be written in polar form as .

Total current is  A.

Answer 2

(2)

In RC circuits with sinusoidal AC supply,

In a pure capacitance, the capacitor voltage lags the capacitor current by 90^o.

Phasor diagram of the current and voltage drop: