{"id":47209,"date":"2024-04-15T22:23:30","date_gmt":"2024-04-15T22:23:30","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=47209"},"modified":"2024-04-15T22:23:30","modified_gmt":"2024-04-15T22:23:30","slug":"for-a-sine-wave-with-peak-value-imax-the-r-m-s-value-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/for-a-sine-wave-with-peak-value-imax-the-r-m-s-value-is\/","title":{"rendered":"For a sine wave with peak value Imax the r.m.s. value is"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;0.5 Imax&#8221; option2=&#8221;0.707&#8243; option3=&#8221;0.9&#8243; option4=&#8221;1.414 Imax&#8221; correct=&#8221;option2&#8243;]<!--more--><\/p>\n<p>The correct answer is B. 0.707 Imax.<\/p>\n<p>The root mean square (rms) value of a sine wave is the square root of the average of the squared values of the wave. In other words, it is the value of a constant DC current that would produce the same heating effect in a resistor as the sine wave.<\/p>\n<p>The rms value of a sine wave can be calculated using the following formula:<\/p>\n<p>$I_{rms} = \\frac{I_{peak}}{\\sqrt{2}}$<\/p>\n<p>where $I_{peak}$ is the peak value of the sine wave.<\/p>\n<p>Therefore, the rms value of a sine wave with peak value $I_{max}$ is $I_{rms} = \\frac{I_{max}}{\\sqrt{2}} = 0.707 I_{max}$.<\/p>\n<p>Option A is incorrect because it is the average value of a sine wave, not the rms value.<\/p>\n<p>Option C is incorrect because it is the peak value of a sine wave, not the rms value.<\/p>\n<p>Option D is incorrect because it is twice the rms value of a sine wave.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;0.5 Imax&#8221; option2=&#8221;0.707&#8243; option3=&#8221;0.9&#8243; option4=&#8221;1.414 Imax&#8221; correct=&#8221;option2&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[739],"tags":[],"class_list":["post-47209","post","type-post","status-publish","format-standard","hentry","category-a-c-fundamentals-circuits-and-circuit-theory","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>For a sine wave with peak value Imax the r.m.s. value is<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/for-a-sine-wave-with-peak-value-imax-the-r-m-s-value-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"For a sine wave with peak value Imax the r.m.s. value is\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;0.5 Imax&#8221; 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