{"id":256077,"date":"2022-09-10T11:35:16","date_gmt":"2022-09-10T06:05:16","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-conducting-sphere-of-radius-r-is-charged-to-a-potential-of-v-volts-then-the-electric-field-at-a-distance-r-r-from-the-centre-of-the-sphere-would-be\/"},"modified":"2022-09-10T11:35:16","modified_gmt":"2022-09-10T06:05:16","slug":"a-conducting-sphere-of-radius-r-is-charged-to-a-potential-of-v-volts-then-the-electric-field-at-a-distance-r-r-from-the-centre-of-the-sphere-would-be","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-conducting-sphere-of-radius-r-is-charged-to-a-potential-of\/","title":{"rendered":"A conducting sphere of radius R is charged to a potential of v volts. Then the electric field at a distance r(> R) from the centre of the sphere would be"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A conducting sphere of radius R is charged to a potential of v volts. Then the electric field at a distance r(> R) from the centre of the sphere would be","custom_permalink":"question\/physics\/a-conducting-sphere-of-radius-r-is-charged-to-a-potential-of\/"},"categories":[],"acf":{"question":"<p>A conducting sphere of radius R is charged to a potential of v volts. Then the electric field at a distance r(&gt; R) from the centre of the sphere would be<\/p>\n","options":[{"option":"<p><span><span>v\/r&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <\/span><\/span><\/p>\n","correct":false},{"option":"<p><img alt=\"frac{{{R^2}v}}{{{r^3}}}\" src=\"https:\/\/latex.codecogs.com\/gif.latex?%5Cfrac%7B%7B%7BR%5E2%7Dv%7D%7D%7B%7B%7Br%5E3%7D%7D%7D%5C\"><\/p>\n","correct":false},{"option":"<p><img alt=\"frac{{Rv}}{{{r^2}}}\" src=\"https:\/\/latex.codecogs.com\/gif.latex?%5Cfrac%7B%7BRv%7D%7D%7B%7B%7Br%5E2%7D%7D%7D\"><\/p>\n","correct":true},{"option":"<p><img alt=\"frac{{rv}}{{{R^2}}}\" src=\"https:\/\/latex.codecogs.com\/gif.latex?%5Cfrac%7B%7Brv%7D%7D%7B%7B%7BR%5E2%7D%7D%7D%5C\"><\/p>\n","correct":false}],"solution":"<p><img alt=\"V = frac{1}{{4pi {varepsilon _0}}}frac{q}{R}\" src=\"https:\/\/latex.codecogs.com\/gif.latex?V%20%3D%20%5Cfrac%7B1%7D%7B%7B4%5Cpi%20%7B%5Cvarepsilon%20_0%7D%7D%7D%5Cfrac%7Bq%7D%7BR%7D%5C\"><br>\nthen&nbsp; <img alt=\"frac{q}{{4pi {varepsilon _0}}} = RV\" src=\"https:\/\/latex.codecogs.com\/gif.latex?%5Cfrac%7Bq%7D%7B%7B4%5Cpi%20%7B%5Cvarepsilon%20_0%7D%7D%7D%20%3D%20RV\"><\/p>\n\n<p>Now, <img alt=\"E = frac{1}{{4pi {varepsilon _0}}}frac{q}{{{r^2}}} = frac{{RV}}{{{r^2}}}\" src=\"https:\/\/latex.codecogs.com\/gif.latex?E%20%3D%20%5Cfrac%7B1%7D%7B%7B4%5Cpi%20%7B%5Cvarepsilon%20_0%7D%7D%7D%5Cfrac%7Bq%7D%7B%7B%7Br%5E2%7D%7D%7D%20%3D%20%5Cfrac%7B%7BRV%7D%7D%7B%7B%7Br%5E2%7D%7D%7D\"><\/p>\n","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A conducting sphere of radius R is charged to a potential of v volts. 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