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Q.

The value of r ms current for circuit shown in figure is 2.2 A. Then the CORRECT statement(s) is/are
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a

The power factor of circuit is 1

b

The power dissipated in the circuit is 484 watt

c

The rms current in the circuit increases by 2 times after inductor is short circuited 

d

The value of capacitance is 100πμF 

answer is A, B, C.

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Detailed Solution

 Irms=ErmsZ
 2.2=220Z
 Z=100Ω
Hence XL=XC  
Lω=1ωC 
C=1W2L=1(100π)2.1π=1104πF=100πμF 
XL=XC 
Hence cosϕ=RC=1  
P=ErmsIrms=220×2.2×10=484W 
After inductor is short circuits impedance Z=1002
Irms=2001002=(2.22) 

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