15.3 Exercise 6

In an RLC series circuit, the voltage amplitude and frequency of the source are 100 V and 500 Hz, respectively, an $R = 500 \Omega ,$ $L = 0.20 \text{H},$ and $C = 2.0 \mu \text{F} .$ (a) What is the impedance of the circuit? (b) What is the amplitude of the current from the source? (c) If the emf of the source is given by $v \left(t\right) = \left(100 \text{V}\right) \text{sin} 1000 \pi t$, how does the current vary with time? (d) Repeat the calculations with C changed to $0.20 \mu \text{F} .$