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

<tr> <td class=""> <p>70.7A</p> </td> </tr>

{"type":"technical","methodBadge":"Concept & Principle","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.","workingPrinciple":"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.","keyFormulas":["$I_{RMS} = \\frac{I_{max}}{\\sqrt{2}}$ — RMS value of sinusoidal current","$I_{max} = 100 A$ — Maximum value of current"],"keyPoints":["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."],"comparisonTable":[],"additionalInfo":[{"parameter":"Standard Values","detail":"For a sinusoidal waveform, the RMS value is always \\frac{I_{max}}{\\sqrt{2}}."},{"parameter":"Wrong Options Explained","detail":"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.","coreConcepts":["RMS Value","Sinusoidal Current","Power in AC Circuits"],"crossTopicTip":"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."}