S8tepuglasphhisanar S8tepuglasphhisanar
  • 17-03-2017
  • Physics
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A capacitor is connected across the terminals of a 100 v rms, 50.0 hz generator. for what capacitance is the rms current 2.60 ma?

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naveen1997
naveen1997 naveen1997
  • 21-03-2017
So this is just a Voltage source capacitor circuit 
[tex]V_{rms}=100 V, I_{rms}=2.60~ma, ~and~frequency~f=50Hz \text{current in the circuit will be}=I_{rms}=\dfrac{V_{rms}}{X_{c}},X_{c}=\dfrac{1}{j \omega C}\\I_{rms}=V_{rms}*j \omega C=V_{rms}*(2 \pi f)C \angle 90=\left (2.60*10^{-3} \right ) [/tex]
Now just plug in the values and find out C
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