An AC generator with a variable frequency and an RMS voltage output of 120 Volts is connected in series to a 3.1 μF Capacitor and a 100 Ω resistor. The RMS voltage across the capacitor is measured to be 92 Volts. What is the RMS voltage across the resistor?

Question

Physics

Gerald

18 December, 07:27

An AC generator with a variable frequency and an RMS voltage output of 120 Volts is connected in series to a 3.1 μF Capacitor and a 100 Ω resistor. The RMS voltage across the capacitor is measured to be 92 Volts. What is the RMS voltage across the resistor?

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Answers (1)

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Liam Mcpherson · Answer 1

The RMS voltage across the resistor = 28 V

Explanation:

Capacitor: A capacitor is an electrical device that has the ability to store electrical charges in an electrical circuit. It is expressed in Farad (F)

Resistor: A resistor is an electrical device that oppose the flow of electric current in a circuit. It is expressed in ohms (Ω)

RMS Voltage : RMS voltage value of an alternating voltage is defined as that value of steady voltage which would dissipate heat at the same rate in a given resistance

Since the it is a series circuit, the total voltage is divided across the resistance and the capacitor.

Vt = V₁ + V₂ ... Equation 1

Where Vt = total Rms voltage = 120 V, V₁ = Rms voltage across the Capacitor = 92 V, V₂ = Rms voltage across the resistor.

Making V₂ the subject of the equation in equation 1 above,

V₂ = Vt - V₁ = 120 - 92

V₂ = 28 V.

The RMS voltage across the resistor = 28 V