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A 10 mu F capacitor is conneted with 1 h...

A `10 mu F` capacitor is conneted with 1 henry inductance in series with a 50 hertz source of a.c. Calculate the impedance of the combination.

Text Solution

Verified by Experts

`Z=(Lomega~(1)/(Comega))=[1xx2pixx50~(1)/(10xx10^(-6)xx2pixx50)]`
`Z=[100pi~(10^(3)/(pi)]=[100pi^(2)~10^(3)/(pi)]`
`OrZ=4.47Omega`
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Knowledge Check

  • A condenser of 10 mu F and an inductor of 1 H are connected in series with an A.C source of frequency 50 Hz . The impedance of the combination will be (take pi^(2) = 10)

    A
    zero
    B
    Inifinity
    C
    `44.7 Omega`
    D
    `5.67 Omega`

  • A condenser of 10muF and an inductor of 1.2H are connected in series with an A.C. source of frequency 50Hz . The impedance of the combination will be

    A
    zero
    B
    `0.583 Omega`
    C
    `5.83 Omega`
    D
    `58.3 Omega`

  • A capacitor of 10 (mu)F and an inductor of 1 H are joined in series. An ac of 50 Hz is applied to this combination. What is the impedance of the combination?

    A
    `(5(pi^(2)-5))/(pi) Omega`
    B
    `(10(10-pi^(2)))/(pi) Omega`
    C
    `(10(pi^(2)-5))/(pi) Omega`
    D
    `(5(10-pi^(2)))/(pi) Omega`