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In an  LCR series a.c. circuit, the voltage across each of the components, L, C and R is 50 V. The voltage across the LC  combination will be

  • Option 1)

    50 V

  • Option 2)

     50\sqrt{2}  V

  • Option 3)

    100 V

  • Option 4)

    0 V (zero)


Answers (1)


As we learnt in

LC Circuit voltage -

V_{L}=\: {I}\! X_{L}

V_{C}={I}\! X_{C}

- wherein

In an  LCR  series a.c. circuit, the voltages across components L and C are in opposite phase. The voltage across LC combination will be zero.

net voltage across L and C is V_{L}-V_{C} , since there is a phase difference of \pi between them.

\therefore V_{net}=50-50=0


Option 1)

50 V

This is incorrect option

Option 2)

 50\sqrt{2}  V

This is incorrect option

Option 3)

100 V

This is incorrect option

Option 4)

0 V (zero)

This is correct option

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