Average value of current is given by

<tr> <td class=""> <p>0.637Im</p> </td> </tr>

{"type":"technical","methodBadge":"Concept & Principle","explanation":"The average value of alternating current (A.C.) over one complete cycle is given by the formula \\frac{2}{\\pi} I_m, which evaluates to approximately 0.637 times the maximum current, I_m. Thus, the correct answer is D) 0.637I_m.","workingPrinciple":"In an A.C. circuit, current varies sinusoidally. The average current is calculated over the full cycle by integrating the instantaneous current function and dividing by the period. This results in the factor of \\frac{2}{\\pi}, leading to the average value being 0.637 times the peak value.","keyFormulas":["$I_{avg} = \\frac{2}{\\pi} I_m$ — Average value of current in A.C.","$I_m = I_{max}$ — Maximum or peak current"],"keyPoints":["The average current is pertinent for evaluating power in A.C. systems.","Understanding average current is crucial for designing circuits and selecting components."],"advantages":["Helps in calculating effective power usage in A.C. circuits.","Assists in the analysis of circuit behavior over time."],"disadvantages":["Does not account for the phase difference in sinusoidal waveforms.","Might be misleading if only considering RMS values."],"applications":["Used in residential and industrial power systems for calculating average power consumption.","Essential in the design of electrical devices that operate on A.C."],"comparisonTable":[],"additionalInfo":[{"parameter":"Standard Values","detail":"For sinusoidal A.C. sources, the average value of current holds as \\frac{2}{\\pi} I_m."},{"parameter":"Wrong Options Explained","detail":"Option A = Im is the peak value; Option B = 0.5Im does not accommodate the average; Option C = 0.707Im refers to RMS but is not average."}],"answer":"D is correct — the average value of an A.C. current is 0.637 times the maximum current.","coreConcepts":["Average current calculations in A.C. circuits.","Understanding sinusoidal functions in electrical engineering.","Impact of frequency and amplitude on current values."],"crossTopicTip":"Always remember the distinction between peak, average, and RMS currents, especially in power calculations."}