RLC Circuits

  • Thread starter 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+(χLC)2)
φ=tan-1((χLC)/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))
 

Answers and Replies

  • #2
scottdave
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I got the same thing.
 
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