{"id":3119,"date":"2018-06-14T21:03:05","date_gmt":"2018-06-15T04:03:05","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=3119"},"modified":"2018-06-14T21:03:05","modified_gmt":"2018-06-15T04:03:05","slug":"voltage-and-loops-of-transformers-problems-and-solution","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/voltage-and-loops-of-transformers-problems-and-solution.htm","title":{"rendered":"Voltage and loops of transformers – problems and solution","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

1.<\/span><\/span><\/p>\n

\"Voltage<\/p>\n

Based on the above table, find R and P.<\/span><\/span><\/p>\n

Solution<\/span><\/span><\/p>\n

Transformer’s equation :<\/span><\/span><\/p>\n

V<\/span><\/span>s <\/span><\/span><\/sub>N<\/span><\/span>p<\/span><\/span><\/sub> = N<\/span><\/span>s <\/span><\/span><\/sub>V<\/span><\/span>p <\/span><\/span><\/sub>and V<\/span><\/span>p<\/span><\/span><\/sub> I<\/span><\/span>p<\/span><\/span><\/sub> = V<\/span><\/span>s<\/span><\/span><\/sub> I<\/span><\/span>s<\/span><\/span><\/sub><\/p>\n

V<\/i><\/span><\/span>s<\/i><\/span><\/span><\/sub> = secondary voltage, V<\/i><\/span><\/span>p<\/i><\/span><\/span><\/sub> = primary voltage<\/a><\/i><\/span><\/span>, N<\/i><\/span><\/span>s<\/i><\/span><\/span><\/sub> = secondary loops, N<\/i><\/span><\/span>p<\/i><\/span><\/span><\/sub> = primary loops<\/i><\/span><\/span>, <\/i><\/span><\/span><\/sub>I<\/i><\/span><\/span>p<\/i><\/span><\/span><\/sub> = primary current<\/a>, I<\/i><\/span><\/span>s<\/i><\/span><\/span><\/sub> = secondary current<\/i><\/span><\/span><\/p>\n

Primary voltage (V<\/u><\/span><\/span>p<\/u><\/span><\/span><\/sub>)<\/u><\/span><\/span><\/p>\n

V<\/span><\/span>p<\/span><\/span><\/sub> I<\/span><\/span>p<\/span><\/span><\/sub> = V<\/span><\/span>s<\/span><\/span><\/sub> I<\/span><\/span>s<\/span><\/span><\/sub><\/p>\n

V<\/span><\/span>p<\/span><\/span><\/sub> (4) = (10)(80)<\/span><\/span><\/p>\n

V<\/span><\/span>p<\/span><\/span><\/sub> = 800 \/ 4<\/span><\/span><\/p>\n

V<\/span><\/span>p<\/span><\/span><\/sub> = R = 200 Volt<\/span><\/span><\/p>\n

Secondary loops (N<\/u><\/span><\/span>s<\/u><\/span><\/span><\/sub>)<\/u><\/span><\/span><\/p>\n

V<\/span><\/span>s <\/span><\/span><\/sub>N<\/span><\/span>p<\/span><\/span><\/sub> = N<\/span><\/span>s <\/span><\/span><\/sub>V<\/span><\/span>p<\/span><\/span><\/sub><\/p>\n

(10)(600) = N<\/span><\/span>s <\/span><\/span><\/sub>(200)<\/span><\/span><\/p>\n

6000 = 200 N<\/span><\/span>s<\/span><\/span><\/sub><\/p>\n

N<\/span><\/span>s <\/span><\/span><\/sub>= 6000 \/ 200<\/span><\/span><\/p>\n

N<\/span><\/span>s<\/span><\/span><\/sub> = P = 30 loops<\/span><\/span><\/p>\n

2.<\/span><\/span><\/p>\n

\"Voltage<\/p>\n

Based on the above table, find K and L.<\/span><\/span><\/p>\n

Solution :<\/span><\/span><\/p>\n

Secondary current (I<\/u><\/span><\/span>s<\/u><\/span><\/span><\/sub>) of transformer 1 :<\/u><\/span><\/span><\/p>\n

V<\/span><\/span>p<\/span><\/span><\/sub> I<\/span><\/span>p<\/span><\/span><\/sub> = V<\/span><\/span>s<\/span><\/span><\/sub> I<\/span><\/span>s<\/span><\/span><\/sub><\/p>\n

(200)(3) = (300)(I<\/span><\/span>s<\/span><\/span><\/sub>)<\/span><\/span><\/p>\n

I<\/span><\/span>s<\/span><\/span><\/sub> = 600 \/ 300<\/span><\/span><\/p>\n

I<\/span><\/span>s<\/span><\/span><\/sub> = K = 2 A<\/span><\/span><\/p>\n

Secondary voltage (V<\/u><\/span><\/span>s<\/u><\/span><\/span><\/sub>) of transformer<\/a> 2 :<\/u><\/span><\/span><\/p>\n

V<\/span><\/span>p<\/span><\/span><\/sub> I<\/span><\/span>p<\/span><\/span><\/sub> = V<\/span><\/span>s<\/span><\/span><\/sub> I<\/span><\/span>s<\/span><\/span><\/sub><\/p>\n

(40)(0,75) = V<\/span><\/span>s<\/span><\/span><\/sub> (1)<\/span><\/span><\/p>\n

V<\/span><\/span>s<\/span><\/span><\/sub> = L = 30 Volt<\/span><\/span><\/p>\n

3.<\/span><\/span><\/p>\n

\"Voltage<\/p>\n

Based on the table above, find P and Q.<\/span><\/span><\/p>\n

Solution :<\/span><\/span><\/p>\n

Primary voltage (V<\/u><\/span><\/span>p<\/u><\/span><\/span><\/sub>)<\/u><\/span><\/span><\/p>\n

V<\/span><\/span>s <\/span><\/span><\/sub>N<\/span><\/span>p<\/span><\/span><\/sub> = N<\/span><\/span>s <\/span><\/span><\/sub>V<\/span><\/span>p<\/span><\/span><\/sub><\/p>\n

(220)(300) = (600) V<\/span><\/span>p<\/span><\/span><\/sub><\/p>\n

(220)(3) = (6) V<\/span><\/span>p<\/span><\/span><\/sub><\/p>\n

660 = 6 V<\/span><\/span>p<\/span><\/span><\/sub><\/p>\n

V<\/span><\/span>p<\/span><\/span><\/sub> = 660 \/ 6<\/span><\/span><\/p>\n

V<\/span><\/span>p<\/span><\/span><\/sub> = P = 110 Volt <\/span><\/span><\/p>\n

Primary current (I<\/u><\/span><\/span>p<\/u><\/span><\/span><\/sub>)<\/u><\/span><\/span><\/p>\n

V<\/span><\/span>p<\/span><\/span><\/sub> I<\/span><\/span>p<\/span><\/span><\/sub> = V<\/span><\/span>s<\/span><\/span><\/sub> I<\/span><\/span>s<\/span><\/span><\/sub><\/p>\n

(110)(I<\/span><\/span>p<\/span><\/span><\/sub>) = (220)(2)<\/span><\/span><\/p>\n

(110)(I<\/span><\/span>p<\/span><\/span><\/sub>) = 440<\/span><\/span><\/p>\n

I<\/span><\/span>p<\/span><\/span><\/sub> = 440 \/ 110<\/span><\/span><\/p>\n

I<\/span><\/span>p<\/span><\/span><\/sub> = Q = 4 A<\/span><\/span><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"

1. Based on the above table, find R and P. Solution Transformer’s equation :<\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"Voltage and loops of transformers - problems and solution","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"footnotes":""},"categories":[3],"tags":[],"class_list":["post-3119","post","type-post","status-publish","format-standard","hentry","category-solved-problems-in-basic-physics"],"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/3119","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/comments?post=3119"}],"version-history":[{"count":0,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/3119\/revisions"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=3119"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=3119"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=3119"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}