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An inductor (L = (1)/(100 pi) H), a capa...

An inductor `(L = (1)/(100 pi) H)`, a capacitor `(C = (1)/(500 pi) F)` and a resistance `(3 Omega)` is connected in series with an AC voltage source as shown in the figure. The voltage of the AC source is given as `V = 10 cos(100 pi t)` volt. What will be the potential difference between A and B ?

A

`8cos(100pit-127^(@))"volt"`

B

`8cos(100pit-53^(@))"volt"`

C

`8cos(100pit-37^(@))"volt"`

D

`8cos(100pit+37^(@))"volt"`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • An inductor 200 mH, capacitor 500mu F and resistor 10 Omega are connected in series with a 100 V variable frequency ac source. What is the frequency at which the power factor of the circuit is unity?

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    B
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    C
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    D
    `15.9 Hz`

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