- #1
Chemmjr18
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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
χL=ω*L
χC=1/(ωC)
Z=√(R2+(χL-χC)2)
φ=tan-1((χL-χC)/R)
Vi=Ii*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))