{"id":331230,"date":"2023-01-06T01:44:23","date_gmt":"2023-01-05T20:14:23","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/two-conducting-wires-of-the-same-material-which-are-of-equal-length-diameter-are-first-connected-in-series-and-then-parallel-in-a-circuit-across-the-same-potential-difference-the-heat-produced-in-s\/"},"modified":"2025-06-26T17:46:47","modified_gmt":"2025-06-26T12:16:47","slug":"two-conducting-wires-of-the-same-material-which-are-of-equal-length-diameter-are-first-connected-in-series-and-then-parallel-in-a-circuit-across-the-same-potential-difference-the-heat-produced-in-s","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/two-conducting-wires-of-the-same-material-which-are-of-equal\/","title":{"rendered":"Two conducting wires of the same material which are of equal length, diameter are first connected in series and then parallel in a circuit, across the same potential difference. The heat produced in series and parallel combination would be in the ratio"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Two conducting wires of the same material which are of equal length, diameter are first connected in series and then parallel in a circuit, across the same potential difference. The heat produced in series and parallel combination would be in the ratio","custom_permalink":"question\/physics\/two-conducting-wires-of-the-same-material-which-are-of-equal\/"},"categories":[],"acf":{"question":"

Two conducting wires of the same material which are of equal length, diameter are first connected in series and then parallel in a circuit, across the same potential difference. The heat produced in series and parallel combination would be in the ratio<\/span><\/p>

<\/p>

<\/p><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:8pt\"><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:8pt\">","options":[{"option":"1:2<\/span>","correct":false},{"option":"2:1<\/span>","correct":false},{"option":"1:4<\/span>","correct":true},{"option":"4:1<\/span> <\/span>","correct":false}],"solution":"Two conducting wires of the same material which are of equal length, diameter are first connected in series and then parallel in a circuit, across the same potential difference. The heat produced in series and parallel combination would be in the ratio 1:4.<\/span>
Given that, two wires are identical. So, their resistances will be the same. The equivalent resistance in series will be <\/span>2<\/mn>R<\/mi><\/math> and in parallel <\/span>R<\/mi><\/mrow>2<\/mn><\/mrow><\/mfrac><\/math>.<\/span>
Heat produced = <\/span>V<\/mi><\/mrow>2<\/mn><\/mrow><\/msup>t<\/mi><\/mrow>R<\/mi><\/mrow><\/mfrac><\/math> <\/span>For series, heat will be <\/span>V<\/mi><\/mrow>2<\/mn><\/mrow><\/msup>t<\/mi><\/mrow>2<\/mn>R<\/mi><\/mrow><\/mfrac><\/math> and for parallel, heat will be <\/span>2<\/mn>V<\/mi><\/mrow>2<\/mn><\/mrow><\/msup>t<\/mi><\/mrow>R<\/mi><\/mrow><\/mfrac><\/math>
The ratio of heat produced will be <\/span>
Hs<\/mi><\/mrow>Hp<\/mi><\/mrow><\/mfrac>=<\/mo>V<\/mi><\/mrow>2<\/mn><\/mrow><\/msup>t<\/mi><\/mrow>2<\/mn>R<\/mi><\/mrow><\/mfrac><\/mrow>2<\/mn>V<\/mi><\/mrow>2<\/mn><\/mrow><\/msup>t<\/mi><\/mrow>R<\/mi><\/mrow><\/mfrac><\/mrow><\/mfrac>=<\/mo>1<\/mn>:<\/mo>4<\/mn><\/math> <\/span> <\/span>","subject":""},"yoast_head":"\nTwo conducting wires of the same material which are of equal length, diameter are first connected in series and then parallel in a circuit, across the same potential difference. The heat produced in series and parallel combination would be in the ratio - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Two conducting wires of the same material which are of equal length, diameter are first connected in series and then parallel in a circuit, across the same potential difference. 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