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If the voltage across a capacitor in an AC circuit is 100 V RMS, what is the pea
If the voltage across a capacitor in an AC circuit is 100 V RMS, what is the peak voltage? (2022)
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Practice Questions
1 question
Q1
If the voltage across a capacitor in an AC circuit is 100 V RMS, what is the peak voltage? (2022)
100 V
141.42 V
200 V
70.71 V
Show Solution
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The peak voltage (V_peak) is calculated as V_peak = V_rms × √2 = 100 V × √2 ≈ 141.42 V.
Questions & Step-by-step Solutions
1 item
Q
Q: If the voltage across a capacitor in an AC circuit is 100 V RMS, what is the peak voltage? (2022)
Solution:
The peak voltage (V_peak) is calculated as V_peak = V_rms × √2 = 100 V × √2 ≈ 141.42 V.
Steps: 6
Show Steps
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.
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