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MathematicsMathematics
6 August, 13:24

The resonance frequency f in an electronic circuit containing inductance L and capacitance C in series is given by f=1/2π√LC. Determine the inductance L in an electric circuit if the resonance frequency is 6.2 and the capacitance is 0.0001. Round your answer to the nearest tenth.

10270.1

6.6

256.8

0

+5
Answers (2)
  1. 6 August, 13:28
    0
    For this case we have the following function:

    f = 1 / (2π√LC)

    Clearing L we have:

    √LC = 1 / (2πf)

    LC = (1 / (2πf)) ^ 2

    L = (1 / C) * (1 / (2πf)) ^ 2

    Substituting values:

    L = (1 / 0.0001) * (1 / (2 * 3.14 * 6.2)) ^ 2

    L = 6.596253438

    Round to the nearest tenth:

    L = 6.6

    Answer:

    L = 6.6
  2. 6 August, 13:30
    0
    In this situation, you have to use the equation

    f = 1 / (2π√LC)

    To find L

    √LC = 1 / (2πf)

    LC = (1 / (2πf)) ^ 2

    L = (1 / C) * (1 / (2πf)) ^ 2

    Substitute the values:

    L = (1 / 0.0001) * (1 / (2 * 3.14 * 6.2)) ^ 2

    L = 6.596253438

    L = 6.6

    So the Answer is this:

    L = 6.6
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Home » Mathematics » The resonance frequency f in an electronic circuit containing inductance L and capacitance C in series is given by f=1/2π√LC. Determine the inductance L in an electric circuit if the resonance frequency is 6.2 and the capacitance is 0.0001.
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