In an LR-circuit, the inductive reactance is equal to the resistance R of the circuit. An e.m.f. E=E0cos(ωt) applied to the circuit. The power consumed in the circuit is
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a
E02R
b
E022R
c
E024R
d
E028R
answer is C.
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Detailed Solution
P=Ermsirmscosφ=E02×i02×RZ⇒E02×E0Z2×RZ⇒ P=E02R2Z2Given XL=R so, Z=2R⇒ P=E024R