In the circuit the rms value of voltage across the capacitor C , inductor L and resister $R_{1}$ are respectively $55 V$ , 10 V and 5 V . Then the peak voltage across $R_{2}$ is ______ volt.

Question

In the circuit the rms value of voltage across the capacitor C , inductor L and resister R 1 ​ are respectively 5 ​ 5 V , 10 V and 5 V . Then the peak voltage across R 2 ​ is ______ volt.

TestHub · Accepted Answer

V R 2 ​ ​ = V C 2 ​ + V R 1 ​ 2 ​ − V L 2 ​ ​ = ( 5 5 ​ ) 2 + ( 5 ) 2 − ( 10 ) 2 ​ = 125 + 25 − 100 ​ = 5 2 ​ v This is the RMS value, so the peak value is ( 5 2 ​ ) 2 ​ = 10 volt.

Physics - EMI/AC Question with Solution | TestHub

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