{"id":251137,"date":"2022-09-10T10:36:48","date_gmt":"2022-09-10T05:06:48","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/two-point-charges-100-%ce%bcc-and-5-%ce%bcc-are-placed-at-points-a-and-b-respectively-with-ab-40-cm-the-work-done-by-external-force-in-displacing-the-charge-5-%ce%bcc-from-b-to-c-where-bc-30-cm\/"},"modified":"2022-09-10T10:36:48","modified_gmt":"2022-09-10T05:06:48","slug":"two-point-charges-100-%ce%bcc-and-5-%ce%bcc-are-placed-at-points-a-and-b-respectively-with-ab-40-cm-the-work-done-by-external-force-in-displacing-the-charge-5-%ce%bcc-from-b-to-c-where-bc-30-cm","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/two-point-charges-100-c-and-5-c-are-placed-at-points-a-and\/","title":{"rendered":"Two point charges 100 \u03bcC and 5 \u03bcC are placed at points A and B respectively with AB = 40 cm. The work done by external force in displacing the charge 5 \u03bcC from B to C, where BC = 30 cm, angle ABC\u00a0=\u03c02\u00a0and\u00a014\u03c0\u03b50=9\u00d7109Nm2\/C2\u00a0,is\u00a0"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Two point charges 100 \u03bcC and 5 \u03bcC are placed at points A and B respectively with AB = 40 cm. The work done by external force in displacing the charge 5 \u03bcC from B to C, where BC = 30 cm, angle ABC\u00a0=\u03c02\u00a0and\u00a014\u03c0\u03b50=9\u00d7109Nm2\/C2\u00a0,is\u00a0","custom_permalink":"question\/physics\/two-point-charges-100-c-and-5-c-are-placed-at-points-a-and\/"},"categories":[],"acf":{"question":"

Two point charges 100 \u03bcC and 5 \u03bcC are placed at points A and B respectively with AB = 40 cm. The work done by external force in displacing the charge 5 \u03bcC from B to C, where BC = 30 cm, angle ABC =<\/mo>\u03c0<\/mi>2<\/mn><\/mfrac><\/math> and 1<\/mn>4<\/mn>\u03c0\u03b5<\/mi>0<\/mn><\/msub><\/mrow><\/mfrac>=<\/mo>9<\/mn>\u00d7<\/mo>10<\/mn>9<\/mn><\/msup>Nm<\/mi>2<\/mn><\/msup>\/<\/mo>C<\/mi>2<\/mn><\/msup> ,<\/mo>is<\/mi> <\/mo><\/math><\/p>","options":[{"option":"

9 J<\/p>","correct":false},{"option":"

-<\/mo>81<\/mn>20<\/mn><\/mfrac> <\/mo>J<\/mi><\/math><\/p>","correct":false},{"option":"

9<\/mn>25<\/mn><\/mfrac> <\/mo>J<\/mi><\/math><\/p>","correct":false},{"option":"

-<\/mo>9<\/mn>4<\/mn><\/mfrac> <\/mo>J<\/mi><\/math><\/p>","correct":true}],"solution":"

Work done in displacing charge of 5 \u03bcC from B to C is<\/p>

W<\/mi>=<\/mo>5<\/mn>\u00d7<\/mo>10<\/mn>-<\/mo>6<\/mn><\/mrow><\/msup>V<\/mi>C<\/mi><\/msub>-<\/mo>V<\/mi>B<\/mi><\/msub><\/mrow><\/mfenced> <\/mo>where<\/mi> <\/mo><\/math><\/p>
<\/figure>

V<\/mi>B<\/mi><\/msub>=<\/mo>9<\/mn>\u00d7<\/mo>10<\/mn>9<\/mn><\/msup>\u00d7<\/mo>100<\/mn>\u00d7<\/mo>10<\/mn>-<\/mo>6<\/mn><\/mrow><\/msup><\/mrow>0<\/mn>.<\/mo>4<\/mn><\/mrow><\/mfrac>=<\/mo>9<\/mn>4<\/mn><\/mfrac>\u00d7<\/mo>10<\/mn>6<\/mn><\/msup> <\/mo>V<\/mi> <\/mspace> and <\/mtext>V<\/mi>C<\/mi><\/msub>=<\/mo>9<\/mn>\u00d7<\/mo>10<\/mn>9<\/mn><\/msup>\u00d7<\/mo>100<\/mn>\u00d7<\/mo>10<\/mn>-<\/mo>6<\/mn><\/mrow><\/msup><\/mrow>0<\/mn>.<\/mo>5<\/mn><\/mrow><\/mfrac>=<\/mo>9<\/mn>5<\/mn><\/mfrac>\u00d7<\/mo>10<\/mn>6<\/mn><\/msup> <\/mo>V<\/mi> <\/mspace> So <\/mtext>W<\/mi>=<\/mo>5<\/mn>\u00d7<\/mo>10<\/mn>-<\/mo>6<\/mn><\/mrow><\/msup>\u00d7<\/mo>9<\/mn>5<\/mn><\/mfrac>\u00d7<\/mo>10<\/mn>6<\/mn><\/msup>-<\/mo>9<\/mn>4<\/mn><\/mfrac>\u00d7<\/mo>10<\/mn>6<\/mn><\/msup><\/mrow><\/mfenced>=<\/mo>-<\/mo>9<\/mn>4<\/mn><\/mfrac> <\/mo>J<\/mi><\/math><\/p>","subject":""},"yoast_head":"\nTwo point charges 100 \u03bcC and 5 \u03bcC are placed at points A and B respectively with AB = 40 cm. The work done by external force in displacing the charge 5 \u03bcC from B to C, where BC = 30 cm, angle ABC\u00a0=\u03c02\u00a0and\u00a014\u03c0\u03b50=9\u00d7109Nm2\/C2\u00a0,is\u00a0 - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Two point charges 100 \u03bcC and 5 \u03bcC are placed at points A and B respectively with AB = 40 cm. 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