Physics

Problem

An AC source with peak emf

50\,\text{V}

drives a series circuit containing a coil of inductance

0.150\,\text{H}

having internal resistance

12\,\Omega

and a variable capacitor

C

. a. (i) Derive an expression for the amplitude of current in the circuit as a function of the driving angular frequency

\omega

. b. (ii) Calculate the value of

C

that will make the current amplitude maximum when the source frequency is

60.0\,\text{Hz}

. c. (iii) If the capacitor that you obtain in part (ii) has a manufacturing tolerance of

\pm5\%

, determine the corresponding percentage deviation in the resonant frequency from

60.0\,\text{Hz}