Problem: The figure shows voltage and current graphs for a series RLC circuit.What is the resistance R?

FREE Expert Solution

Current

I=Imaxcos ϕ

I=ε0Z

tan ϕ=XL-XCR

Impedance,

Z=R2+(XL-XC)2

(1)

From the graph, at t = 0, I =Imax / 2. Substituting in the current equation and solving for Φ:

Imax/2 = Imax cos Φ

1/2 = cos Φ

Φ = 60°

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Problem Details

The figure shows voltage and current graphs for a series RLC circuit.

media/77b/77bdb4d7-7cbd-4096-8741-2f

What is the resistance R?


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Our tutors have indicated that to solve this problem you will need to apply the Resonance in Series LRC Circuits concept. You can view video lessons to learn Resonance in Series LRC Circuits. Or if you need more Resonance in Series LRC Circuits practice, you can also practice Resonance in Series LRC Circuits practice problems.