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Question

A capacitor and resistor are connected with an AC source as shown in the figure. Reactance of capacitor is Xc=3 Ω and resistance of resistor is 4 Ω. Phase difference between current I and I1 is (Take tan143=53)


A
90
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B
0
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C
53
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D
37
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Solution

The correct option is C 53
Here,

Icurrent from source

and, I1current in resistance

RC is in parallel connection with respect to source and for parallel connection, voltage across both will be same as source V=V0sinωt

But, for current we make phasor taking into account that for capacitor, current leads voltage by π2 whereas for resistance, current and voltage are in same phase.


So, Ic=V0Xc

and, IR=I1=V0R

tanϕ=ICI1=RXc=43

ϕ=tan143=53

Hence, option (c) is correct.

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