{"id":263993,"date":"2022-09-10T13:08:23","date_gmt":"2022-09-10T07:38:23","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-point-charge-of-0-5-c-is-taken-from-point-a-to-b-as-shown-in-the-diagram-where-some-equipotential-surfaces-are-drawn-the-work-done-by-the-electric-field-is\/"},"modified":"2022-09-10T13:08:23","modified_gmt":"2022-09-10T07:38:23","slug":"a-point-charge-of-0-5-c-is-taken-from-point-a-to-b-as-shown-in-the-diagram-where-some-equipotential-surfaces-are-drawn-the-work-done-by-the-electric-field-is","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-point-charge-of-05-c-is--taken-from-point-a-to-b-as-shown\/","title":{"rendered":"A point charge of 0.5 C is  taken from point A to B as shown in the diagram, where some equipotential  surfaces are drawn. The work done by the electric field is"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A point charge of 0.5 C is taken from point A to B as shown in the diagram, where some equipotential surfaces are drawn. The work done by the electric field is","custom_permalink":"question\/physics\/a-point-charge-of-05-c-is--taken-from-point-a-to-b-as-shown\/"},"categories":[],"acf":{"question":"<p>A point charge of 0.5 C is  taken from point A to B as shown in the diagram, where some equipotential  surfaces are drawn. The work done by the electric field is<\/p>  <p><img width=\"224\" height=\"166\" 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J<\/p>  ","correct":false},{"option":"<p>-10 J<\/p>  ","correct":false},{"option":"<p>10 J<\/p>  ","correct":true},{"option":"<p>20 J<\/p>  ","correct":false}],"solution":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mtable columnalign=\"right center left\" columnspacing=\"0px\"><mtr><mtd><mi>Work<\/mi><mo>&nbsp;<\/mo><mi>done<\/mi><mo>&nbsp;<\/mo><\/mtd><mtd><mo>=<\/mo><\/mtd><mtd><mo>&nbsp;<\/mo><mi>change<\/mi><mo>&nbsp;<\/mo><mi>in<\/mi><mo>&nbsp;<\/mo><mi>electrostatic<\/mi><mo>&nbsp;<\/mo><mi>potential<\/mi><mo>&nbsp;<\/mo><mi>energy<\/mi><\/mtd><\/mtr><mtr><mtd><msub><mi mathvariant=\"normal\">W<\/mi><mi>AB<\/mi><\/msub><\/mtd><mtd><mo>=<\/mo><\/mtd><mtd><mrow><mo>(<\/mo><msub><mi mathvariant=\"normal\">V<\/mi><mi mathvariant=\"normal\">A<\/mi><\/msub><mo>\u2212<\/mo><msub><mi mathvariant=\"normal\">V<\/mi><mi mathvariant=\"normal\">B<\/mi><\/msub><mo>)<\/mo><\/mrow><mi mathvariant=\"normal\">q<\/mi><\/mtd><\/mtr><mtr><mtd><msub><mi mathvariant=\"normal\">W<\/mi><mi>AB<\/mi><\/msub><\/mtd><mtd><mo>=<\/mo><\/mtd><mtd><mrow><mo>(<\/mo><mn>40<\/mn><mo>\u2212<\/mo><mn>20<\/mn><mo>)<\/mo><\/mrow><mn>0<\/mn><mo>.<\/mo><mn>5<\/mn><\/mtd><\/mtr><mtr><mtd><msub><mi mathvariant=\"normal\">W<\/mi><mi>AB<\/mi><\/msub><\/mtd><mtd><mo>=<\/mo><\/mtd><mtd><mn>10<\/mn><mo>&nbsp;<\/mo><mi mathvariant=\"normal\">J<\/mi><\/mtd><\/mtr><\/mtable><\/math><\/p>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A point charge of 0.5 C is taken from point A to B as shown in the diagram, where some equipotential surfaces are drawn. 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