Q.

In a certain series LCR A.C. circuit it is found that  XL=2XC and phase difference between the current and voltage is  π/4. If now capacitance is made 1/4th & the inductance and resistance are doubled then which option(s)are NOT CORRECT.

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a

Voltage will lead current by a phase of tan−11/2

b

Voltage will lag behind current by a phase of tan−11/2

c

Voltage will lag behind current by a phase of π/4

d

Voltage and current will be in same phase

answer is A.

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Detailed Solution

XL=2XCXC′=4XCXL′=2XL⇒XL′−XC′=2XL−4XC=2XL−2XC=0XL′=2XL⇒XL′−XC′=2XL−4XC=2XL−2XC=0
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