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Q.

An alternating voltage source of peak voltage V0  is connected across a series combination of a capacitance C and a variable resistance R as shown in figure. The value of R is adjusted such that maximum power is dissipated in it. Under such a condition an AC voltmeter connected across “C” would read

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a

3V02

b

V02

c

V02

d

3V02

answer is A.

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Detailed Solution

i=εωC(RωC)2+1          (where  ε=V02)

P=i2R=ε2ω2C2R(RωC)2+1              dPdR=0ddR{R(RωC)2+1}=0  {(RωC)2+1}R[2R(ωC)2]=0           (RωC)2=1R=1ωC             L1=mL1mL2=2260333

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