If maximum value of current is 100A, then RMS value is

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Examoogle · Accepted Answer

70.7A

Explanation: The RMS (Root Mean Square) value of a sinusoidal current is given by the formula \frac{I_{max}}{\sqrt{2}}. Therefore, if the maximum value of current is 100A, the RMS value will be approximately 70.7A. Working Principle: The RMS value is a measure of the effective value of an alternating current (AC) and represents the equivalent direct current (DC) value that would produce the same power dissipation in a resistive load. This occurs because the energy in an AC circuit is not constant but varies over time, and the RMS value accounts for this variation. Key Formulas: $I_{RMS} = \frac{I_{max}}{\sqrt{2}}$ — RMS value of sinusoidal current; $I_{max} = 100 A$ — Maximum value of current Key Points: RMS value is crucial for calculating power in AC circuits.; RMS value provides a means to compare AC with equivalent DC circuits. Advantages: Allows for effective calculations of power in AC circuits.; Provides a consistent way to evaluate AC current behavior. Disadvantages: RMS value may not reflect instantaneous values of current.; Only applicable for sinusoidal waveforms without distortion. Applications: Used in electrical engineering for power calculations.; Essential for designing AC power systems and devices. Additional Info: Standard Values: For a sinusoidal waveform, the RMS value is always \frac{I_{max}}{\sqrt{2}}.. Wrong Options Explained: Option A = 100A is the maximum value, not the RMS; Option B = 50A is incorrect as it does not consider the sinusoidal nature; Option D = 141A is also incorrect, it is higher than the maximum value. Answer: C is correct — 70.7A is the effective value of a sinusoidal current with a maximum of 100A. Exam Tip: Remember that the RMS value is especially important when dealing with power calculations in AC circuits as it allows you to compare AC with DC equivalently.

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