The current lags the applied voltage in the circuit shown. 10 amps Select one: O True O False Check R=60 X = 102<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n Correct Answer: \u2714 True<\/strong><\/p>\n\n\n\n In AC (Alternating Current) circuits, the relationship between the current and the voltage depends on the type of components present\u2014resistors (R)<\/strong>, inductors (L)<\/strong>, and capacitors (C)<\/strong>.<\/p>\n\n\n\n In the circuit mentioned, you have:<\/p>\n\n\n\n The total impedance ZZ of the circuit is given by: Z=R2+X2=602+1022=3600+10404=14004\u2248118.3\u2009\u03a9Z = \\sqrt{R^2 + X^2} = \\sqrt{60^2 + 102^2} = \\sqrt{3600 + 10404} = \\sqrt{14004} \\approx 118.3 \\, \\Omega<\/p>\n\n\n\n The presence of reactance (X)<\/strong> implies that either an inductor or a capacitor is in the circuit. Since the current is said to lag<\/strong> the voltage, X = 102 ohms must be inductive reactance<\/strong> (denoted XLX_L) because:<\/p>\n\n\n\n So, since current lags<\/strong> the applied voltage, this lag must be due to the inductive reactance<\/strong>, which is typical behavior in an RL circuit<\/strong> (Resistor + Inductor).<\/p>\n\n\n\n This lag can also be understood using the phase angle \u03b8\\theta<\/strong> between the voltage and current: tan\u2061(\u03b8)=XLR=10260=1.7\u21d2\u03b8\u224860.3\u2218\\tan(\\theta) = \\frac{X_L}{R} = \\frac{102}{60} = 1.7 \\Rightarrow \\theta \\approx 60.3^\\circ<\/p>\n\n\n\n A positive phase angle means that the current lags<\/strong> behind the voltage by about 60 degrees<\/strong>, confirming inductive behavior.<\/p>\n\n\n\n Since the circuit is inductive in nature due to the presence of XLX_L, and current lags voltage in such a case, the statement is True<\/strong>.<\/p>\n\n\n\n Answer:<\/strong> \u2705 True<\/strong> \u2013 The current lags the applied voltage in the given circuit.<\/p>\n","protected":false},"excerpt":{"rendered":" The current lags the applied voltage in the circuit shown. 10 amps Select one: O True O False Check R=60 X = 102 The correct answer and explanation is: Correct Answer: \u2714 True Explanation (Approx. 300 Words) In AC (Alternating Current) circuits, the relationship between the current and the voltage depends on the type of […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-17685","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17685","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=17685"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17685\/revisions"}],"predecessor-version":[{"id":17686,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17685\/revisions\/17686"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=17685"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=17685"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=17685"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nExplanation (Approx. 300 Words)<\/strong><\/h3>\n\n\n\n
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