{"id":343503,"date":"2023-01-06T13:26:37","date_gmt":"2023-01-06T07:56:37","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/an-electric-kettle-consumes-1-kw-of-electric-power-when-operated-at-220-v-a-fuse-wire-of-what-rating-must-be-used-for-it\/"},"modified":"2025-06-26T18:03:22","modified_gmt":"2025-06-26T12:33:22","slug":"an-electric-kettle-consumes-1-kw-of-electric-power-when-operated-at-220-v-a-fuse-wire-of-what-rating-must-be-used-for-it","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/an-electric-kettle-consumes-1kw-of-electric-power-when-oper\/","title":{"rendered":"An electric kettle consumes 1\u00a0kW of electric power when operated at 220\u00a0V. A fuse wire of what rating must be used for it?"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"An electric kettle consumes 1\u00a0kW of electric power when operated at 220\u00a0V. A fuse wire of what rating must be used for it?","custom_permalink":"question\/physics\/an-electric-kettle-consumes-1kw-of-electric-power-when-oper\/"},"categories":[],"acf":{"question":"<p style=\"margin-top:0pt; margin-bottom:8pt; line-height:108%; font-size:12pt\"><span>An electric kettle consumes <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>1<\/mn><mi mathvariant=\"italic\">&nbsp;kW<\/mi><\/math><span> of electric power when operated at <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>220<\/mn><mi mathvariant=\"italic\">&nbsp;V<\/mi><\/math><span>. A fuse wire of what rating must be used for it?<\/span><\/p><br><pstyle=\"margin-top:0pt;margin-bottom:8pt;line-height:108%;font-size:12pt\"><spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><p><\/p><pstyle=\"margin-top:0pt;margin-bottom:8pt;line-height:108%;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:8pt;line-height:108%;font-size:12pt\"><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:8pt;line-height:108%;font-size:12pt\">","options":[{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>1<\/mn><mi mathvariant=\"italic\">&nbsp;A<\/mi><\/math>","correct":false},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>2<\/mn><mi mathvariant=\"italic\">&nbsp;A<\/mi><\/math>","correct":false},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mi mathvariant=\"italic\">&nbsp;A<\/mi><\/math>","correct":false},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mo>.<\/mo><mn>5<\/mn><mi mathvariant=\"italic\">&nbsp;A<\/mi><\/math><span>&nbsp;<\/span>","correct":true}],"solution":"<span>An electric kettle consumes <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>1<\/mn><mi mathvariant=\"italic\">&nbsp;kW<\/mi><\/math><span> of electric power when operated at <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>220<\/mn><mi mathvariant=\"italic\">&nbsp;V<\/mi><\/math><span>. A fuse wire of <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mo>.<\/mo><mn>5<\/mn><mi mathvariant=\"italic\">&nbsp;A<\/mi><\/math><span> rating must be used for it.<\/span><br><span>Firstly, calculate the max current required by the electric kettle<\/span><br><span>Given data in the problem,<\/span><br><span>Power, <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"italic\">P&nbsp;<\/mi><mo>=<\/mo><mn>1<\/mn><mi mathvariant=\"italic\">KW<\/mi><\/math><br><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>=<\/mo><mn>1000<\/mn><mi>W<\/mi><\/math><span> <\/span><span>Voltage, <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>V<\/mi><mo>=<\/mo><mn>220<\/mn><mi mathvariant=\"italic\">&nbsp;V<\/mi><\/math><br><span>By using the below formula of Power<\/span><br><span>Power, <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>P<\/mi><mo>=<\/mo><mi mathvariant=\"italic\">V&nbsp;<\/mi><mo>\u00d7<\/mo><mi mathvariant=\"italic\">&nbsp;I<\/mi><\/math><span>, where, <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>I<\/mi><\/math><span> is current and <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>V<\/mi><\/math><span> is voltage.<\/span><br><span>By rearranging the above equation,<\/span><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><mi mathvariant=\"italic\">I&nbsp;<\/mi><mo>=<\/mo><mi>&nbsp;<\/mi><mfrac><mrow><mi>P<\/mi><\/mrow><mrow><mi>V<\/mi><\/mrow><\/mfrac><\/math><span> <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><mi mathvariant=\"italic\">&nbsp;I<\/mi><mo>=<\/mo><mi>&nbsp;<\/mi><mfrac><mrow><mn>1000<\/mn><\/mrow><mrow><mn>220<\/mn><\/mrow><\/mfrac><\/math><span> <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><mi mathvariant=\"italic\">&nbsp;I\u200b<\/mi><mo>=<\/mo><mi>&nbsp;<\/mi><mn>4<\/mn><mo>.<\/mo><mn>5<\/mn><mi mathvariant=\"italic\">&nbsp;A<\/mi><\/math><span> <\/span><span>So, the rating of fuse wire is <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mo>.<\/mo><mn>5<\/mn><mi mathvariant=\"italic\">&nbsp;A<\/mi><\/math><span>.<\/span><br><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>An electric kettle consumes 1\u00a0kW of electric power when operated at 220\u00a0V. 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