{"id":343937,"date":"2023-01-06T13:41:50","date_gmt":"2023-01-06T08:11:50","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/two-lamps-one-rated-100-w-220-v-and-the-other-60-w-220-v-are-connected-in-parallel-to-electric-mains-supply-the-current-drawn-by-the-two-bulbs-is-1-a\/"},"modified":"2025-06-26T17:47:42","modified_gmt":"2025-06-26T12:17:42","slug":"two-lamps-one-rated-100-w-220-v-and-the-other-60-w-220-v-are-connected-in-parallel-to-electric-mains-supply-the-current-drawn-by-the-two-bulbs-is-1-a","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/two-lamps-one-rated-100w-220v-and-the-other-60w-220v\/","title":{"rendered":"Two lamps, one rated 100\u00a0W, 220\u00a0V, and the other 60\u00a0W, 220\u00a0V, are connected in parallel to electric mains supply, the current drawn by the two bulbs is [[1]] A."},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Two lamps, one rated 100\u00a0W, 220\u00a0V, and the other 60\u00a0W, 220\u00a0V, are connected in parallel to electric mains supply, the current drawn by the two bulbs is [[1]] A.","custom_permalink":"question\/physics\/two-lamps-one-rated-100w-220v-and-the-other-60w-220v\/"},"categories":[],"acf":{"question":"<p style=\"margin-top:0pt; margin-bottom:0pt; line-height:115%; font-size:12pt\"><span>Two lamps, one rated <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>100<\/mn><mi>&nbsp;<\/mi><mi>W<\/mi><\/math><span>, <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>220<\/mn><mi>&nbsp;<\/mi><mi>V<\/mi><\/math><span>, and the other <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>60<\/mn><mi>&nbsp;<\/mi><mi>W<\/mi><\/math><span>, <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>220<\/mn><mi>&nbsp;<\/mi><mi>V<\/mi><\/math><span>, are connected in parallel to electric mains supply, the current drawn by the two bulbs is [[1]] <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>A<\/mi><\/math><span>.<\/span><\/p><br><pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:115%;font-size:12pt\"><spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><p><\/p><pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:115%;font-size:12pt\"><spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><p><\/p><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:115%;font-size:12pt\"><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:115%;font-size:12pt\">","options":null,"solution":"<span>When two lamps, one rated <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>100<\/mn><mi>&nbsp;<\/mi><mi>W<\/mi><\/math><span>, <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>220<\/mn><mi>&nbsp;<\/mi><mi>V<\/mi><\/math><span>, and the other <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>60<\/mn><mi>&nbsp;<\/mi><mi>W<\/mi><\/math><span>, <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>220<\/mn><mi>&nbsp;<\/mi><mi>V<\/mi><\/math><span>, are connected in parallel to electric mains supply, the current drawn by the two bulbs is <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>.<\/mo><mn>72<\/mn><mi>&nbsp;<\/mi><mi>A<\/mi><\/math><span>.<\/span><br><span>It is given that two bulbs of ratings <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>100<\/mn><mi>&nbsp;<\/mi><mi>W<\/mi><\/math><span>, <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>220<\/mn><mi>&nbsp;<\/mi><mi>V<\/mi><\/math><span> and <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>60<\/mn><mi>&nbsp;<\/mi><mi>W<\/mi><\/math><span>, <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>220<\/mn><mi>&nbsp;<\/mi><mi>V<\/mi><\/math><span> are connected in parallel combination with the mains.<\/span><br><span>Let the bulb with Power <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfenced separators=\"|\"><mrow><mi>P<\/mi><\/mrow><\/mfenced><mo>=<\/mo><mn>100<\/mn><mi>&nbsp;<\/mi><mi>W<\/mi><\/math><span> and potential difference <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>V<\/mi><mo>=<\/mo><mn>220<\/mn><mi>&nbsp;<\/mi><mi>V<\/mi><\/math><span> be Bulb <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>1<\/mn><\/math><span>.<\/span><br><span>Let the bulb with Power (<\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>P<\/mi><mo>)<\/mo><mo>=<\/mo><mn>60<\/mn><mi>&nbsp;<\/mi><mi>W<\/mi><\/math><span>and potential difference <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>V<\/mi><mo>=<\/mo><mn>220<\/mn><mi>&nbsp;<\/mi><mi>V<\/mi><\/math><span> be Bulb <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>2<\/mn><\/math><span>.<\/span><br><span>It is known that the power of the component is given by the relation<\/span><br><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>P<\/mi><mo>=<\/mo><mi mathvariant=\"italic\">VI<\/mi><\/math><br><span>It can be written as<\/span><br><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>I<\/mi><mo>=<\/mo><mfrac><mrow><mi>P<\/mi><\/mrow><mrow><mi>V<\/mi><\/mrow><\/mfrac><\/math><br><span>Where <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>I<\/mi><mo>,<\/mo><mi>&nbsp;<\/mi><mi>P<\/mi><\/math><span> and <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>V<\/mi><\/math><span> are the current, power and potential difference respectively.<\/span><br><span>Therefore, the current drawn by bulb <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>1<\/mn><\/math><span> is <\/span><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><msub><mrow><mi>I<\/mi><\/mrow><mrow><mn>1<\/mn><\/mrow><\/msub><mo>=<\/mo><mfrac><mrow><mn>100<\/mn><\/mrow><mrow><mn>220<\/mn><\/mrow><\/mfrac><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><msub><mrow><mi>I<\/mi><\/mrow><mrow><mn>1<\/mn><\/mrow><\/msub><mo>=<\/mo><mfrac><mrow><mn>5<\/mn><\/mrow><mrow><mn>11<\/mn><\/mrow><\/mfrac><mi>&nbsp;<\/mi><mi>A<\/mi><\/math><br><span>Similarly, the current drawn by bulb <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>2<\/mn><\/math><span> is <\/span><br><span>&nbsp;&nbsp;&nbsp; <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msub><mrow><mi>I<\/mi><\/mrow><mrow><mn>2<\/mn><\/mrow><\/msub><mo>=<\/mo><mfrac><mrow><mn>60<\/mn><\/mrow><mrow><mn>220<\/mn><\/mrow><\/mfrac><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><msub><mrow><mi>I<\/mi><\/mrow><mrow><mn>2<\/mn><\/mrow><\/msub><mo>=<\/mo><mfrac><mrow><mn>3<\/mn><\/mrow><mrow><mn>11<\/mn><\/mrow><\/mfrac><mi>&nbsp;<\/mi><mi>A<\/mi><\/math><br><span>Therefore, the total current drawn by the two bulbs is<\/span><br><span>&nbsp;&nbsp;&nbsp;&nbsp; <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msub><mrow><mi>I<\/mi><\/mrow><mrow><mn>1<\/mn><\/mrow><\/msub><mo>=<\/mo><msub><mrow><mi>I<\/mi><\/mrow><mrow><mn>1<\/mn><\/mrow><\/msub><mo>+<\/mo><msub><mrow><mi>I<\/mi><\/mrow><mrow><mn>2<\/mn><\/mrow><\/msub><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><mi>I<\/mi><mo>=<\/mo><mfrac><mrow><mn>5<\/mn><\/mrow><mrow><mn>11<\/mn><\/mrow><\/mfrac><mo>+<\/mo><mfrac><mrow><mn>3<\/mn><\/mrow><mrow><mn>11<\/mn><\/mrow><\/mfrac><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><mi>I<\/mi><mo>=<\/mo><mfrac><mrow><mn>8<\/mn><\/mrow><mrow><mn>11<\/mn><\/mrow><\/mfrac><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><mi>I<\/mi><mo>=<\/mo><mn>0<\/mn><mo>.<\/mo><mn>72<\/mn><mi>&nbsp;<\/mi><mi>A<\/mi><\/math><br><span>Hence, the current drawn by two bulbs is <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>.<\/mo><mn>72<\/mn><mi>&nbsp;<\/mi><mi>A<\/mi><\/math><span>.<\/span><br><span>&nbsp;<\/span><span>&nbsp;<\/span>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Two lamps, one rated 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