Calculating Currents & Voltages of an RLC Circuit

[Chemmjr18]

Homework Statement

An RLC circuit contains the following components in series: a 15Ω resistor, a 200μF capacitor, and a 12mH inductor. What are the currents and voltages through each component?

It's known that the current through the resistor is 1.75A⋅cos(250πt)

Homework Equations

χ_L=ω*L
χ_C=1/(ωC)
Z=√(R²+(χ_L-χ_C)²)
φ=tan^-1((χ_L-χ_C)/R)
V_i=I_i*Z

The Attempt at a Solution

This what I got when solving:

The current through each component is the same. I=1.75A⋅cos(250πt)

The voltage across the power source is V=26.79V⋅cos(250πt+0.201)

The voltage across the resistor is V=26.25V⋅cos(250πt)

The voltage across the capacitor is V=11.14⋅cos(250πt-(π/2))

The voltage across the inductor is V=16.49⋅cos(250πt+(π/2))

 

[scottdave]

I got the same thing.

 

[Chemmjr18]

I gotthe same thing.

Victory! Thanks!