Question

The magnitude of the impedance of the circuit shown below is?

(a) √(R+1/ωC)

(b) √(R-1/ωC)

(c) √(R^2+(1/ωC)^2)

(d) √(R^2-(1/ωC)^2)

I had been asked this question in an online quiz.

Origin of the question is Impedence Diagram in section Complex Impedence of Network Theory

Answer 1

The correct answer is (c) √(R^2+(1/ωC)^2)

For explanation: The magnitude of the impedance of the circuit shown above is √(R^2+(1/ωC)^2). Here the impedance is the vector sum of the resistance and the capacitive reactance.