Chapter 15, Problem 64CP

A 200- $\Omega$ resistor, 150- $\mu$ F capacitor, and 23-H inductor are connected in series with an ac source of amplitude 10 V and variable angular frequency $\omega$ . (a) What is the value of the resonance frequency ${\omega }_R$? (b) What is the amplitude of the current if $\omega ={\omega }_R$ ? (c) What is the phase constant of the current when $\omega ={\omega }_R$ ? Is it leading or lagging the source voltage, or is It In phase? (d) Write an equation for the voltage drop across the resistor as a function of time when $\omega ={\omega }_R$ . (e) What is the power factor of the circuit when $\omega ={\omega }_R$ ? (f) How much energy is used up by the resistor in 2.5s when $\omega ={\omega }_R$ ?