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An inductor 20 xx 10^(-3) henry, a capac...

An inductor `20 xx 10^(-3)` henry, a capacitor `100 mu F` and a resistor `50 Omega` are connected in series across a source of emf `V = 10 sin 314 t`.
(a) The energy dissipated in the circuit in 20 minutues is `951 J`.
(b) If resistance is removed from the circuit and the value of inductance is doubled, then the varation of current with time in the new circuit is `0.52 cos (314 t)`

A

Both (a) and (b) are correct

B

Both (a) and (b) are false

C

Only (a) is corrects

D

Only (b) is correct

Text Solution

Verified by Experts

The correct Answer is:
A
Energy = Average power `xx` time
when resistance is removed, `cos phi = 0`
`:. phi = (pi)/(2)` , `:. I = (V_(0))/(Z) sin (omega t + phi)`
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Knowledge Check

  • An inductor 20xx10^(-3) a capacitor 100(mu)F and a resistor 50 Omega are connected in series across a source of emf V=10 sin 314 t . Then the energy dissipated in the circuit in 20 mim is

    A
    960 J
    B
    900 J
    C
    250J
    D
    500J

  • An inductor 20 mH , a capacitor 100 muF and a resistor 50 Omega are connected in series across a source of emf, V=10 sin 314 t . The power loss in the circuit is

    A
    `2.74 W`
    B
    `1.13 W`
    C
    `0.43 W`
    D
    `0.79 W`

  • An inductor 20 mH , a capacitor 100muF and a resistor 50Omega are connected in series across a source of emf V=10sin314t . The power loss in the circuit is

    A
    `1.13W`
    B
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    C
    `2.74W`
    D
    `0.43W`

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