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Q.

An inductance L, a capacitance C and a resistance R may be connected to an ac source of angular frequency ω  in three different combinations of RC, RL and LC in series. Assume that ωL =1ωC . The power drawn by the three combinations are P1, P2, P3  respectively. Then

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a

P1>P2>P3

b

P1=P2

c

P1=P2>P3

d

P1=P2=P3

answer is B.

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Detailed Solution

average  power consumed in the circuit = Pavg=Vicosϕ2   and cosϕ=RZ If XL=XC in LC circuit then phase difference,ϕ=0, P is max  For RC,RL circuits power is same as  XL=XC
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An inductance L, a capacitance C and a resistance R may be connected to an ac source of angular frequency ω  in three different combinations of RC, RL and LC in series. Assume that ωL =1ωC . The power drawn by the three combinations are P1, P2, P3  respectively. Then