Physics · Alternating Current

For a purely sinusoidal alternating waveform, the root mean square (RMS) value is considered the 'effective value'. What is the mathematical relationship between the Peak Value (Vm) and the RMS value (Vrms)?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1Vrms = 0.637 × Vm
2Vrms = Vm√2✓
3Vrms = 1.11 × Vm
4Vrms = Vm2

Correct answer

Vrms = Vm√2

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For a purely sinusoidal alternating waveform, the root mean square (RMS) value is considered the 'effective value'. What is the mathematical relationship between the Peak Value (Vm) and the RMS value (Vrms)?

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For a purely sinusoidal alternating waveform, the root mean square (RMS) value is considered the 'effective value'. What is the mathematical relationship between the Peak Value (Vm) and the RMS value (Vrms)?

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