R L 10 Q ll V sine The frequency of the voltage source is 5000 rad/sec. The impedance &f the inductor is j10 ohm. Find the value of the Capacitor for which current drawn from the voltage source is at unity power factor. Capacitor value = micro Farad

Q: Ex:3 Find the capacitance that has a reactive power of 50 var when connected across a 120 V 60 Hz…

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A:

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A:

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A: reactance of capacitor X = 1j2πfc ohms .  where , f is frequency .  and c is capacitance in Farads .

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A: R1=40ohmX1=50ohmVs=230Vf=50HzPtotal=1600W

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A:

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A: We know formula for parallel plate capacitance .

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A: Solve as below

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A:

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A: Given circuit is -

Sinusoids And Phasors

Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.

Circuit Theory

Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).