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Q.

A circuit operating at 3602πHz contains a 1μF capacitor and a 20Ω resistor. How large an inductor must be added in series to make the phase angle for the circuit zero? Calculate the current in the circuit if the applied voltage is 120V.

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a

0.77H ; 6A

b

7.7H ; 20A

c

7.7H ; 6A

d

0.77H ; 3A

answer is C.

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Detailed Solution

ϕ=0, if 

XL=XC2πfL=12πfC

   L=1(2πf)2C =1(360)2×10-6=7.7H

When XL=XC, then Z=R.

Therefore, I=VZ=VR=12020=6A.

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