{"id":154599,"date":"2023-08-05T13:14:51","date_gmt":"2023-08-05T07:44:51","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=154599"},"modified":"2023-08-05T13:14:55","modified_gmt":"2023-08-05T07:44:55","slug":"in-the-circuit-shown-if-%f0%9d%91%a3%f0%9d%91%a1-2-sin1000-%f0%9d%91%a1-volts-%f0%9d%91%85-1-k%cf%89-and-%f0%9d%90%b6-1-%f0%9d%9c%87f-then-the-steady-state-current-%f0%9d%91%96","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/in-the-circuit-shown-if-%f0%9d%91%a3%f0%9d%91%a1-2-sin1000-%f0%9d%91%a1-volts-%f0%9d%91%85-1-k%cf%89-and-%f0%9d%90%b6-1-%f0%9d%9c%87f-then-the-steady-state-current-%f0%9d%91%96\/","title":{"rendered":"In the circuit shown, if \ud835\udc63(\ud835\udc61) = 2 sin(1000 \ud835\udc61) volts, \ud835\udc45 = 1 k\u03a9 and \ud835\udc36 = 1 \ud835\udf07F, then the steady-state current \ud835\udc56(\ud835\udc61), in milliamperes (mA), is"},"content":{"rendered":"\n<p>Q. In the circuit shown, if \ud835\udc63(\ud835\udc61) = 2 sin(1000 \ud835\udc61) volts, \ud835\udc45 = 1 k\u03a9 and \ud835\udc36 = 1 \ud835\udf07F, then the steady-state current \ud835\udc56(\ud835\udc61), in milliamperes (mA), is<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-528.png\" alt=\"\" class=\"wp-image-154600\" width=\"355\" height=\"239\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-528.png 507w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-528-300x202.png 300w\" sizes=\"(max-width: 355px) 100vw, 355px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>(A) sin(1000 \ud835\udc61) +&nbsp; &nbsp;cos(1000 \ud835\udc61)<\/td><td>(B) 2 sin(1000 \ud835\udc61) + 2 cos(1000 \ud835\udc61)<\/td><\/tr><tr><td>(C) 3 sin(1000 \ud835\udc61) + cos(1000 \ud835\udc61)<\/td><td>(D) sin(1000 \ud835\udc61) + 3 cos(1000 \ud835\udc61)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Ans: 3 sin(1000 \ud835\udc61) + cos(1000 \ud835\udc61)<\/p>\n\n\n\n<p>Solution:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"228\" height=\"1024\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/if-v-t-2-sin-1000t-volts-r-1-k-omega-2023-08-05-13_06_44-228x1024.png\" alt=\"\" class=\"wp-image-154603\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/if-v-t-2-sin-1000t-volts-r-1-k-omega-2023-08-05-13_06_44-228x1024.png 228w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/if-v-t-2-sin-1000t-volts-r-1-k-omega-2023-08-05-13_06_44-67x300.png 67w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/if-v-t-2-sin-1000t-volts-r-1-k-omega-2023-08-05-13_06_44-342x1536.png 342w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/if-v-t-2-sin-1000t-volts-r-1-k-omega-2023-08-05-13_06_44.png 374w\" sizes=\"(max-width: 228px) 100vw, 228px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. In the circuit shown, if \ud835\udc63(\ud835\udc61) = 2 sin(1000 \ud835\udc61) volts, \ud835\udc45 = 1 k\u03a9 and \ud835\udc36 = 1 \ud835\udf07F, then the steady-state current \ud835\udc56(\ud835\udc61), in milliamperes (mA), is (A) sin(1000 \ud835\udc61) +&nbsp; &nbsp;cos(1000 \ud835\udc61) (B) 2 sin(1000 \ud835\udc61) + 2 cos(1000 \ud835\udc61) (C) 3 sin(1000 \ud835\udc61) + cos(1000 \ud835\udc61) (D) sin(1000 \ud835\udc61) + [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":154605,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-154599","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/154599","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=154599"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/154599\/revisions"}],"predecessor-version":[{"id":154606,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/154599\/revisions\/154606"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/154605"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=154599"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=154599"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=154599"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}