If the voltage across a capacitor in an AC circuit is 100 V RMS, what is the pea

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Question: If the voltage across a capacitor in an AC circuit is 100 V RMS, what is the peak voltage? (2022)

Options:

Correct Answer: 141.42 V

Exam Year: 2022

Solution:

The peak voltage (V_peak) is calculated as V_peak = V_rms × √2 = 100 V × √2 ≈ 141.42 V.

If the voltage across a capacitor in an AC circuit is 100 V RMS, what is the peak voltage? (2022)

If the voltage across a capacitor in an AC circuit is 100 V RMS, what is the peak voltage? (2022)

Step 1: Understand that RMS (Root Mean Square) voltage is a way to express the effective voltage of an AC signal.
Step 2: Know that the relationship between RMS voltage (V_rms) and peak voltage (V_peak) is given by the formula: V_peak = V_rms × √2.
Step 3: Substitute the given RMS voltage into the formula. Here, V_rms = 100 V.
Step 4: Calculate √2, which is approximately 1.414.
Step 5: Multiply the RMS voltage by √2: V_peak = 100 V × 1.414.
Step 6: Perform the multiplication: V_peak ≈ 141.42 V.

RMS Voltage – RMS (Root Mean Square) voltage is a way of expressing AC voltage that represents the equivalent DC voltage that would deliver the same power to a load.
Peak Voltage – Peak voltage is the maximum voltage level reached by an AC signal, which can be calculated from the RMS voltage using the formula V_peak = V_rms × √2.
AC Circuit Analysis – Understanding the behavior of capacitors in AC circuits, including how voltage and current relate to each other.