{"id":343922,"date":"2023-01-06T13:41:21","date_gmt":"2023-01-06T08:11:21","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-boy-records-that-4000-j-of-work-are-required-to-transfer-10-c-of-charge-between-two-points-of-a-resistor-of-50-%cf%89-the-current-passing-through-it-is\/"},"modified":"2025-06-26T17:54:59","modified_gmt":"2025-06-26T12:24:59","slug":"a-boy-records-that-4000-j-of-work-are-required-to-transfer-10-c-of-charge-between-two-points-of-a-resistor-of-50-%cf%89-the-current-passing-through-it-is","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-boy-records-that-4000j-of-work-are-required-to-transfer-1\/","title":{"rendered":"A boy records that 4000\u00a0J of work are required to transfer 10\u00a0C of charge between two points of a resistor of 50\u00a0\u03a9. The current passing through it is"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A boy records that 4000\u00a0J of work are required to transfer 10\u00a0C of charge between two points of a resistor of 50\u00a0\u03a9. The current passing through it is","custom_permalink":"question\/physics\/a-boy-records-that-4000j-of-work-are-required-to-transfer-1\/"},"categories":[],"acf":{"question":"

A boy records that <\/span>4000<\/mn> J<\/mi><\/math> of work are required to transfer <\/span>10<\/mn> C<\/mi><\/math> of charge between two points of a resistor of <\/span>50<\/mn> \u03a9<\/mi><\/math>. The current passing through it is<\/span><\/p>

<\/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":[{"option":"2<\/mn> A<\/mi><\/math>","correct":false},{"option":"4<\/mn> A<\/mi><\/math>","correct":false},{"option":"8<\/mn> A<\/mi><\/math>","correct":true},{"option":"16<\/mn> A<\/mi><\/math> <\/span>","correct":false}],"solution":"A boy records that <\/span>4000<\/mn> J<\/mi><\/math> of work are required to transfer <\/span>10<\/mn> C<\/mi><\/math> of charge between two points of a resistor of <\/span>50<\/mn> \u03a9<\/mi><\/math> and hence the current passing through it is <\/span>8<\/mn> A<\/mi><\/math>.<\/span>
It is known that \u201cthe work done is giCopper product of the charge <\/span>(<\/mo>q<\/mi>)<\/mo><\/math> and the voltage <\/span>(<\/mo>V<\/mi>)<\/mo><\/math> of the body.\u201d Mathematically,<\/span>
W <\/mi>=<\/mo> qV <\/mi><\/math>
From Ohm\u2019s law, it can be said that <\/span>V<\/mi>=<\/mo>IR<\/mi><\/math>, therefore<\/span>
W <\/mi>=<\/mo> qIR<\/mi><\/math>
Rearranging the relation for current, we get<\/span>
I<\/mi>=<\/mo>W<\/mi><\/mrow>qR<\/mi><\/mrow><\/mfrac><\/math>
\u21d2<\/mo>I<\/mi>=<\/mo>4000<\/mn><\/mrow>10<\/mn>\u00d7<\/mo>50<\/mn><\/mrow><\/mfrac> <\/mi><\/math>
\u21d2<\/mo>I<\/mi>=<\/mo> <\/mi>8<\/mn> A<\/mi><\/math>
Hence, the current passing through is <\/span>8<\/mn> A<\/mi><\/math>.<\/span>
 <\/span>","subject":""},"yoast_head":"\nA boy records that 4000\u00a0J of work are required to transfer 10\u00a0C of charge between two points of a resistor of 50\u00a0\u03a9. The current passing through it is - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"A boy records that 4000\u00a0J of work are required to transfer 10\u00a0C of charge between two points of a resistor of 50\u00a0\u03a9. 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