- #1

Chemmjr18

- 51

- 1

## 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=√(R

^{2}+(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))