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    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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    https://brainmass.com/physics/resonance/rlc-circuit-resonance-38395

    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.

    $2.49

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