{"id":343948,"date":"2023-01-06T13:42:14","date_gmt":"2023-01-06T08:12:14","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-heater-coil-connected-to-200-v-has-a-resistance-of-80-%cf%89-if-the-heater-is-plugged-in-for-the-time-t-such-that-1-kg-of-water-at-20c-attains-a-temperature-of-60c-find-the-p\/"},"modified":"2025-06-26T18:00:42","modified_gmt":"2025-06-26T12:30:42","slug":"a-heater-coil-connected-to-200-v-has-a-resistance-of-80-%cf%89-if-the-heater-is-plugged-in-for-the-time-t-such-that-1-kg-of-water-at-20c-attains-a-temperature-of-60c-find-the-p","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-heater-coil-connected-to-200v-has-a-resistance-of-80-i\/","title":{"rendered":"A heater coil connected to 200\u00a0V has a resistance of 80\u00a0\u03a9. If the heater is plugged in for the time t such that 1 kg of water at 20\u00b0C attains a temperature of 60\u00b0C. Find the power of the heater."},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A heater coil connected to 200\u00a0V has a resistance of 80\u00a0\u03a9. If the heater is plugged in for the time t such that 1 kg of water at 20\u00b0C attains a temperature of 60\u00b0C. Find the power of the heater.","custom_permalink":"question\/physics\/a-heater-coil-connected-to-200v-has-a-resistance-of-80-i\/"},"categories":[],"acf":{"question":"

A heater coil connected to <\/span>200<\/mn> V<\/mi><\/math> has a resistance of <\/span>80<\/mn> \u03a9<\/mi><\/math>. If the heater is plugged in for the time <\/span>t<\/mi><\/math> such that <\/span>1<\/mn><\/math> <\/span>kg<\/mi><\/math> of water at <\/span>20<\/mn>\u00b0<\/mo>C<\/mi><\/math> attains a temperature of <\/span>60<\/mn>\u00b0<\/mo>C<\/mi><\/math>. Find the power of the heater.<\/span><\/p>

<\/p>

<\/p><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;text-align:justify;line-height:normal;font-size:12pt\"><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;text-align:justify;line-height:normal;font-size:12pt\">","options":[{"option":"500<\/mn>W<\/mi><\/math>","correct":true},{"option":"400<\/mn>W<\/mi><\/math>","correct":false},{"option":"600<\/mn>W<\/mi><\/math>","correct":false},{"option":"None of the above <\/span> <\/span>","correct":false}],"solution":"<\/span>[19]<\/span><\/a>
A heater coil connected to <\/span>200<\/mn> V<\/mi><\/math> has a resistance of <\/span>80<\/mn> \u03a9<\/mi><\/math>, when the heater is plugged in for the time <\/span>t<\/mi><\/math> such that <\/span>1<\/mn><\/math> <\/span>kg<\/mi><\/math> of water at <\/span>20<\/mn>\u00b0<\/mo>C<\/mi><\/math> attains a temperature of <\/span>60<\/mn>\u00b0<\/mo>C<\/mi><\/math>, the power of the heater will be 500W.<\/span>
We know that the power of heater is <\/span>P <\/mi>=<\/mo> <\/mi>V<\/mi><\/mrow>2<\/mn><\/mrow><\/msup>\/<\/mo> R<\/mi><\/math>
Here, <\/span>V<\/mi><\/math> is the voltage, <\/span>P<\/mi><\/math> is the power, and <\/span>R<\/mi><\/math> is the resistance.<\/span>
\u21d2<\/mo> <\/mi>P<\/mi>=<\/mo> <\/mi>(<\/mo>200<\/mn>)<\/mo><\/mrow>2<\/mn><\/mrow><\/msup>\/<\/mo> <\/mi>80<\/mn> W<\/mi><\/math>
By simplifying, we get<\/span>
     <\/span>P<\/mi>=<\/mo> <\/mi>500<\/mn> W<\/mi><\/math>
 <\/span>","subject":""},"yoast_head":"\nA heater coil connected to 200\u00a0V has a resistance of 80\u00a0\u03a9. If the heater is plugged in for the time t such that 1 kg of water at 20\u00b0C attains a temperature of 60\u00b0C. Find the power of the heater. - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"A heater coil connected to 200\u00a0V has a resistance of 80\u00a0\u03a9. If the heater is plugged in for the time t such that 1 kg of water at 20\u00b0C attains a temperature of 60\u00b0C. 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