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9 November, 16:08

An account voltage is connected to an RLC series circuit of resistance 5ohms, inductance 3mH, and a capacitor of 0.05f. calculate the resonance frequency

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  1. 9 November, 16:44
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    12.99 Hz

    Explanation:

    Resonance is said to occur in an RLC circuit when maximum current is obtained from the circuit. Hence at resonance; XL=XC and Z=R.

    XL = inductive reactance, XC = capacitive reactance, Z = impedance, R = resistance

    The resonance frequency is given by;

    fo = 1/2π√LC

    L = 3*10^-3 H

    C = 0.05 F

    π = 3.142

    Substituting values;

    fo = 1/2*3.142√3*10^-3 * 0.05

    fo = 12.99 Hz

    Therefore the resonance frequency of the RLC circuit is 12.99 Hz
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