All Problems

Electric Oscillations

Problem 4.147

A circuit consists of a capacitor with capacitance \(C\) and a coil with active resistance \(R\) and inductance \(L\) connected in parallel. Find the impedance of the circuit at frequency \(\omega\) of alternating voltage.

Reveal Answer
Z=R2+ω2L2(ωCR)2+(1ω2CL)2Z=\sqrt{\frac{R^{2}+\omega^{2} L^{2}}{(\omega C R)^{2}+\left(1-\omega^{2} C L\right)^{2}}}