An AC power supply has a rms voltage of 47.0 V. It is connected in series with a 340 Ωresistor, a 650 mH inductor, and an 8.4 μF capacitor.

Question

An AC power supply has a rms voltage of 47.0 V. It is connected in series with a 340 Ωresistor, a 650 mH inductor, and an 8.4 μF capacitor. It’s found that the total voltage is ahead of the current by 35°. What is the frequency of the power supply?

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Diễm Thu 5 years 2021-07-19T05:54:32+00:00 1 Answers 11 views 0

Answers ( )

  1. minhkhang
    0
    2021-07-19T05:56:14+00:00
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    Answer:

    The frequency of the power supply is f=68.49HZ

    Explanation:

    From the given question

    We begin by understanding what circuit we are dealing with, off course it’s an RLC circuit

    Given data

    Rms voltage =47volts

    Resistance R=340ohms

    Capacitance C =8.4*10^-6F

    Inductance L= 650*10^-3H

    But in RLC circuit resonance frequency F occurs when the capacitive reactance equals the inductive reactance

    At resonance f

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

    f=1/2*pi√L*C

    Substituting our values we have

    f=1/(2*3.142√650*10^-3*8.4*10^-6)

    f=1/(2*3.142√5460*10^-9)

    f=1/6.284*0.00233

    f=1/0.0146

    f=68.49HZ

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