Need Help with this Physics 2 Questions

Question

a series lrc circuit has l= 0.320 H, R= 200 ohms, a source voltage amplitude of 24.0V, and a resonant frequency of 500 Hz 

a. What is the capacitance C

b. What is Irms at the resonant frequency? 

Answer 1

Alas, RLC circuits, they used to give me headaches. But no worries, let me make it simple for you!

When you connect an inductor and a charged capacitor in a circuit, they form an electric oscillator with a resonant frequency f = 1/(2π·sqrt(LC)), where f=500Hz, L=0.32H. This way we can get C immediately. Knowledge is power!

Now let's consider the resistor and the AC voltage source. If we can tune the voltage source so that it has the same output frequency as the resonant frequency, magically, (...cough...cough...), mathematically, the circuit will behave like a DC circuit, which means that the impedance Z = R, and like Ohm's law, I_rms = V_rms / R. Here V_rms is sorta like an average voltage from the AC source, it equals to V / √2, where V=24.0v.