[amp_mcq option1=”42.42 sin 314 t” option2=”60 sin 25 t” option3=”30 sin 50 t” option4=”84.84 sin 25 t” correct=”option3″]<\/p>\n
The correct answer is $\\boxed{\\text{C) }30 \\sin 50 t}$.<\/p>\n
The equation for a sinusoidal wave with frequency $f$ and amplitude $A$ is $y = A \\sin(2 \\pi f t)$. In this case, the frequency is $f = 50 \\text{ Hz}$ and the amplitude is $A = 30 \\text{ A}$. Substituting these values into the equation, we get $y = 30 \\sin(2 \\pi \\times 50 t)$. This can be simplified to $y = 30 \\sin 1000 t$.<\/p>\n
The other options are incorrect because they do not have the correct frequency or amplitude. Option A has a frequency of $314 \\text{ Hz}$, which is not the same as the given frequency of $50 \\text{ Hz}$. Option B has an amplitude of $60 \\text{ A}$, which is not the same as the given amplitude of $30 \\text{ A}$. Option D has a frequency of $25 \\text{ Hz}$, which is not the same as the given frequency of $50 \\text{ Hz}$ and an amplitude of $84.84 \\text{ A}$, which is not the same as the given amplitude of $30 \\text{ A}$.<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”42.42 sin 314 t” option2=”60 sin 25 t” option3=”30 sin 50 t” option4=”84.84 sin 25 t” correct=”option3″]<\/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-44465","post","type-post","status-publish","format-standard","hentry","category-a-c-fundamentals-circuits-and-circuit-theory","no-featured-image-padding"],"yoast_head":"\n