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A 50 Hz AC source of 20 volts is connected across R and C as shown in figure. The voltage across R is 12 volt. The voltage across c is ______. -

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Question

A 50 Hz AC source of 20 volts is connected across R and C as shown in figure. The voltage across R is 12 volt. The voltage across c is ______.

Options

  • 8 V

  • 16 V

  • 10 V

  • Not possible to determine unless values of R and C are given.

MCQ
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Solution

A 50 Hz AC source of 20 volts is connected across R and C as shown in figure. The voltage across R is 12 volt. The voltage across c is 16 V.

Explanation:

`"V"_"source"= sqrt("V"_"R"^2+"V"_"C"^2)`

`"V"_"C" = sqrt("V"_"source"^2-"V"_"R"^2)`

= `sqrt((20)^2-(12)^2)`

= 16 V

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