RLC Impedance

Electricity and Magnetism Level 1

What is the impedance of an RLC series circuit attached to a sinusoidally variant AC source given the reactances are X L = 6 Ω X_L = 6 \Omega and X C = 3 Ω X_C = 3\Omega and the resistance is R = 4 Ω ? R=4\Omega?


The answer is 5.

July Thomas by July Thomas , 30, USA

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1 solution

Assuming that the resistor, the capacitor, and the inductor are connected in series, the effective impedance is: (4 + 6j - 3j) Ohms = (4 + 3j) Ohms. Taking the magnitude, sqrt (4^2 + 3^2) Ohms = 5 Ohms.

Aside from the RLC series topology, there are 7 other topologies that can be made using a resistor, capacitor, and inductor. For example, since in the problem, the topology was not specified, the solver may assume a parallel RLC topology and get a wrong answer. July Thomas, please be more careful in stating your problem.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Thanks Ramon! The problem was written for a section in a wiki about the RLC series circuit, which is why the wording was lackadaisical. I have updated the problem to clarify it is in fact a series circuit.

July Thomas - 4 years, 11 months ago

What does that the j mean? I've met it in other circuit problems as well

Veselin Dimov - 6 months ago

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j is used for the complex part

Aidan Silcock - 5 months, 3 weeks ago

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