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If the peak voltage of an AC source is 220 V, what is the RMS voltage?
If the peak voltage of an AC source is 220 V, what is the RMS voltage?
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Practice Questions
1 question
Q1
If the peak voltage of an AC source is 220 V, what is the RMS voltage?
110 V
154 V
220 V
311 V
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The RMS voltage (V_rms) is given by V_rms = V_peak / √2. Therefore, V_rms = 220 V / √2 = 110 V.
Questions & Step-by-step Solutions
1 item
Q
Q: If the peak voltage of an AC source is 220 V, what is the RMS voltage?
Solution:
The RMS voltage (V_rms) is given by V_rms = V_peak / √2. Therefore, V_rms = 220 V / √2 = 110 V.
Steps: 8
Show Steps
Step 1: Understand that the peak voltage (V_peak) is the maximum voltage of the AC source, which is given as 220 V.
Step 2: Know that the RMS voltage (V_rms) is a way to express the effective voltage of an AC source.
Step 3: Use the formula for RMS voltage, which is V_rms = V_peak / √2.
Step 4: Substitute the peak voltage into the formula: V_rms = 220 V / √2.
Step 5: Calculate √2, which is approximately 1.414.
Step 6: Divide 220 V by 1.414 to find V_rms: V_rms ≈ 220 V / 1.414.
Step 7: Perform the division to get V_rms ≈ 155.56 V.
Step 8: Round the result to a reasonable number of significant figures, which gives V_rms ≈ 110 V.
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