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In an LR-circuit, the inductive reactanc...

In an `LR`-circuit, the inductive reactance is equal to the resistance `R` of the circuit. An e.m.f `E=E_(0)cos (omegat)` applied to the circuit. The power consumed in the circuit is

A

`E_(0)^(2)/(sqrt(2R)`

B

`(E_(0)^(2))/(4R)`

C

`(E_(0)^(2))/(2R)`

D

`(E_(0)^(2))/(8R)`

Text Solution

Verified by Experts

The correct Answer is:
B
`underset(L)(X)` = R `therefore` Z = `sqrt 2`R
P = `(underset(rms)(V)/Z)^(2)`.R = `(underset(o)(E)/sqrt 2/ sqrt 2R)^(2)`.R = `underset(o)(E)^(2)/4R`
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