RMS Formula:
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RMS (Root Mean Square) current represents the equivalent DC current that would produce the same power dissipation in a resistive load. For sinusoidal waveforms, RMS is calculated as the peak current divided by the square root of 2.
The calculator uses the RMS formula:
Where:
Explanation: This formula converts peak current values to their equivalent RMS values for sinusoidal AC waveforms.
Details: RMS values are crucial for power calculations, circuit design, and electrical safety assessments as they represent the effective current that produces actual power in AC systems.
Tips: Enter the peak current value in amps. The value must be greater than zero. The calculator will compute the corresponding RMS value.
Q1: What is the relationship between peak and RMS values?
A: For sinusoidal waveforms, RMS is approximately 70.7% of the peak value (1/√2 ≈ 0.707).
Q2: Does this formula work for all waveform types?
A: No, this specific formula (Peak/√2) applies only to perfect sinusoidal waveforms. Other waveforms have different conversion factors.
Q3: Why is RMS important in electrical engineering?
A: RMS values allow engineers to compare AC and DC systems directly in terms of power delivery and heating effects.
Q4: How is RMS different from average value?
A: RMS accounts for the squared values of the waveform, making it more relevant for power calculations, while average is simply the arithmetic mean.
Q5: Can I use this for voltage calculations as well?
A: Yes, the same formula applies to voltage: Vrms = Vpeak/√2 for sinusoidal waveforms.