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In an AC circuit, if the voltage is V(t) = 120 sin(ωt), what is the RMS voltage?
In an AC circuit, if the voltage is V(t) = 120 sin(ωt), what is the RMS voltage? (2017)
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Practice Questions
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In an AC circuit, if the voltage is V(t) = 120 sin(ωt), what is the RMS voltage? (2017)
120 V
60 V
84.85 V
100 V
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RMS voltage V_rms = V_peak / √2 = 120 / √2 = 84.85 V.
Questions & Step-by-step Solutions
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Q
Q: In an AC circuit, if the voltage is V(t) = 120 sin(ωt), what is the RMS voltage? (2017)
Solution:
RMS voltage V_rms = V_peak / √2 = 120 / √2 = 84.85 V.
Steps: 5
Show Steps
Step 1: Identify the peak voltage from the given voltage function V(t) = 120 sin(ωt). The peak voltage (V_peak) is 120 volts.
Step 2: Understand that the RMS (Root Mean Square) voltage can be calculated using the formula: V_rms = V_peak / √2.
Step 3: Substitute the peak voltage into the formula: V_rms = 120 / √2.
Step 4: Calculate the value of √2, which is approximately 1.414.
Step 5: Divide 120 by 1.414 to find the RMS voltage: V_rms ≈ 84.85 volts.
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