Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Question Detail
If maximum value of current is 100A, then average value is
Options
Option A: 50A
Option B: 100A
Option C: 0
Option D: 63.7A
Correct Answer
<tr>
<td class="">
<p>63.7A</p>
</td>
</tr>
Solution & Explanation
{"type":"math","methodBadge":"Direct Formula","given":"Maximum current value I_max = 100A","formulaUsed":"$$I_{avg} = I_{max} \\times \\frac{1}{\\sqrt{2}}$$","steps":[{"title":"Identify Maximum Current","explanation":"The maximum current given is 100A.","highlight":"$$I_{max} = 100A$$"},{"title":"Apply Average Current Formula","explanation":"Using the formula for average current in an AC circuit: $$I_{avg} = I_{max} \\times \\frac{1}{\\sqrt{2}}$$","highlight":"$$I_{avg} = 100A \\times \\frac{1}{\\sqrt{2}}$$"},{"title":"Calculate Average Current","explanation":"Now, calculate the average current: $$I_{avg} = 100A \\times 0.7071 \\approx 63.7A$$","highlight":"$$I_{avg} \\approx 63.7A$$"},{"title":"Select the Correct Answer","explanation":"Comparing to the options, D) 63.7A is the average current value.","highlight":"D is confirmed."}],"answer":"D is correct because the calculated average current is approximately 63.7A.","coreConcepts":["AC current","average value","maximum value"],"crossTopicTip":"Understanding AC current fundamentals is essential for analyzing circuits in both electrical and electronics engineering."}