I need help with Physics (circuits)?

Question

A series RLC circuit consists of 100 Ohm resistor, a 0.15 Henry inductor, and a 30.0 micro farad capacitor. It is attached to a 120V/60 Hz power line. ( Vrms=120V)

A) What is the peack current ( I max)?

B) What is the phase angle?

C)What is the average power loss?

Answer 1

Here are all of the equations that are needed to do this problem. All you have to do is plug in the numbers and get the answers.

Max Voltage:

V(max) = V(rms) x √2

Angular frequency:

ω = 2πf

Inductive Reactance:

X(L) = ωL

Capacitive Reactance:

X(C) = 1 / ωC

Impedance:

Z = (R² + (X(L) - X(C))²)^(1/2)

Peak Current:

I(max) = V(max) / Z

Phase Angle:

ø = tan^-1 [ (X(L) - X(C)) / R ]

Average Power Loss:

P(avg) = ½ I(max) V(max) cos(ø)