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# Physics Impedance Given resistance, capacitor, inductor and hertz?

How do I solve for impedance.

Find the impedance for a circuit consisting of a 13.8 ohm resistor, a 15.6 micro-farad capacitor, a 11 milli-henry inductor, and an AC voltage source with a frequency of 567 hertz.

Give your answer to one decimal.

### 1 Answer

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- billrussell42Lv 71 month agoFavourite answer
Xc = 1/(2πfC) = 1/(2π567•15.6e-6)

Xʟ = 2πfL = 2π567•11e-3

X = 2π567•11e-3 – 1/(2π567•15.6e-6)

Z = √(13.8² + X²)

Z = √(13.8² + (2π567•11e-3 – 1/(2π567•15.6e-6))²)

For a series circuit of a resistor R, a capacitor C and

an inductor L, the impedance may be calculated as follows:

Capacitive Reactance Xc = 1/(2πfC) = 1/ωC

Inductive Reactance Xʟ = 2πfL = ωL

Impedance Z = √(R² + X²)

where X = Xʟ – Xc

ω = 2πf

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