All Problems

Electric Oscillations

Problem 4.143

An alternating current of frequency ω=314 s1\omega=314 \mathrm{~s}^{-1} is fed to a circuit consisting of a capacitor of capacitance C=73μFC=73 \mu \mathrm{F} and an active resistance R=100ΩR=100 \Omega connected in parallel. Find the impedance of the circuit.

Reveal Answer
Z=R/1+(ωCR)2=40ΩZ=R / \sqrt{1+(\omega C R)^{2}}=40 \Omega