# RLC Circuit: Resonance

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An RLC circuit has a capacitance of 0.43 microF.

(a) What inductance will produce a resonance frequency of 95 mHz?

(b) It is desired that the impedance at resonance be 1/2 the impedance at 11 kHz. What value of R should be used to obtain this result?"

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#### Solution Preview

Z =impedance = square root of {R + (X L ^2 -XC^2)}

XL= reactance of inductor = 2 pi f L

XC= reactance of capacitor = 1/ (2 pi f C)

(a) What inductance will produce a resonance frequency of 95 mHz?

At resoance Z = R and XL=XC

2 pi f L = 1/ (2 pi f C)

L = 1/ {C (2pi f ) ...

#### Solution Summary

The solution calculates the inductance that will produce a resonance frequency of 95 mHz in an RLC circuit and the resistance that will make the impedance at resonance be 1/2 the impedance at 11 kHz.

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