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An inductance L, a cpacitance C and a re...

An inductance `L`, a cpacitance `C` and a resistance `R` may be connected to an `AC` souorce of angular frequency `omega` in three different combinations of `RC, RL` and `LC` in series. Assume that `omegaL=1/(omegaC)`. The power drawn by the three combinatios are `P_(1), P_(2), P_(3)` respectively. THen

A

`P_1 gt P_2 gt P_3 `

B

`P_1 - P_2 lt P_3`

C

`P_1 = P_2 gt P_3`

D

`P_1 = P_2 = P_3`

Text Solution

Verified by Experts

The correct Answer is:
C
The LC circuit drawn no power.
When `omega L = (1)/(omega C.)` the impedance of the RC and LR circuit are equal , and hence they draw the same power .
`therefore P_1 = P_2 gt P_3`
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