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RC Circuits - Engineering

Q1:

In a series RC circuit, when the frequency and the resistance are halved, the impedance

A doubles

B is halved

C is reduced to one-fourth

D cannot be determined without values

ANS:D - cannot be determined without values

Z = R - jX.
R' = 0.5 R.
X' = 1 / 2* π*C*(0.5)f = 2X.
Z' = 0.5R - j2X.

Assuming R = 1 and X = 1.
|Z| = √(1^2+1^2) = 1.414.
|Z'| = √(0.5^2+2^2) = 2.0615.