RC Circuits - Engineering

Q1:

A 120  resistor is in parallel with a capacitor with a capacitive reactance of 40 . Both components are across a 12 V ac source. What is the magnitude of the total impedance?

A 37.9 

B 3.7 

C 14,400 

D 4,800 

ANS:A - 37.9 

sqrt(1/Z) = sqrt(1/r) + sqrt(1/Xc).

1/Z = sqrt((1/120)^2 + (1/40)^2).

1/Z = 0.0263.

Z = 37.94.