{"id":4419,"date":"2018-04-21T05:00:00","date_gmt":"2018-04-20T23:30:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-physics-electrostatic-potentia-and-capacitance-part-1\/"},"modified":"2018-10-22T15:16:57","modified_gmt":"2018-10-22T09:46:57","slug":"ncert-solutions-class-12-physics-electrostatic-potential-and-capacitance","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-physics-electrostatic-potential-and-capacitance\/","title":{"rendered":"NCERT Solutions class 12 physics Electrostatic Potential and Capacitance"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-physics-electrostatic-potential-and-capacitance\/#NCERT_Class_12_Physics_Chapter-wise_Solutions\" >NCERT Class 12 Physics Chapter-wise Solutions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-physics-electrostatic-potential-and-capacitance\/#CHAPTER_2_ELECTROSTATIC_POTENTIAL_AND_CAPACITANCE\" >CHAPTER 2 ELECTROSTATIC POTENTIAL AND CAPACITANCE<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-physics-electrostatic-potential-and-capacitance\/#NCERT_Solutions_class_12_physics_Electrostatic_Potential_and_Capacitance_Part_1\" >NCERT Solutions class 12 physics Electrostatic Potential\u00a0and Capacitance Part 1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-physics-electrostatic-potential-and-capacitance\/#NCERT_Solutions_for_Class_12_Physics\" >NCERT Solutions for Class 12 Physics<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions class 12 physics Electrostatic Potential and Capacitance Part 1 Class 12 Physics book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 12 Physics chapter wise NCERT solution for Physics part 1 and Physics part 2 for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>Download\u00a0<a href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-12-physics\/1251\/ncert-solutions\/5\/\">NCERT solutions for Electrostatic Potential and Capacitance\u00a0<\/a>as PDF.<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/Class%2012%20physics%20book%2012.jpg\" alt=\"NCERT Solutions class 12 physics Electrostatic Potential and Capacitance\" width=\"131\" height=\"160\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Class_12_Physics_Chapter-wise_Solutions\"><\/span><strong>NCERT Class 12 Physics Chapter-wise Solutions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>1 \u2013 Electric Charges and Fields<\/li>\n<li>2 \u2013 Electrostatic Potential and Capacitance<\/li>\n<li>3 \u2013 Current Electricity<\/li>\n<li>4 \u2013 Moving Charges and Magnetism<\/li>\n<li>5 \u2013 Magnetism and Matter<\/li>\n<li>6 \u2013 Electromagnetic Induction<\/li>\n<li>7 \u2013 Alternating Current<\/li>\n<li>8 \u2013 Electromagnetic Waves<\/li>\n<li>9 \u2013 Ray Optics and Optical Instruments<\/li>\n<li>10 \u2013 Wave Optics<\/li>\n<li>11 \u2013 Dual Nature of Radiation and Matter<\/li>\n<li>12 \u2013 Atoms<\/li>\n<li>13 \u2013 Nuclei<\/li>\n<li>14 \u2013 Semiconductor Electronic: Material, Devices and Simple Circuits<\/li>\n<li>15 \u2013 Communication Systems<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"CHAPTER_2_ELECTROSTATIC_POTENTIAL_AND_CAPACITANCE\"><\/span>CHAPTER 2 ELECTROSTATIC POTENTIAL AND CAPACITANCE<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>2.1 Introduction<\/li>\n<li>2.2 Electrostatic Potential<\/li>\n<li>2.3 Potential due to a Point Charge<\/li>\n<li>2.4 Potential due to an Electric Dipole<\/li>\n<li>2.5 Potential due to a System of Charges<\/li>\n<li>2.6 Equipotential Surfaces<\/li>\n<li>2.7 Potential Energy of a System of Charges<\/li>\n<li>2.8 Potential Energy in an External Field<\/li>\n<li>2.9 Electrostatics of Conductors<\/li>\n<li>2.10 Dielectrics and Polarisation<\/li>\n<li>2.11 Capacitors and Capacitance<\/li>\n<li>2.12 The Parallel Plate Capacitor<\/li>\n<li>2.13 Effect of Dielectric on Capacitance<\/li>\n<li>2.14 Combination of Capacitors<\/li>\n<li>2.15 Energy Stored in a Capacitor<\/li>\n<li>2.16 Van de Graaff Generator<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_class_12_physics_Electrostatic_Potential_and_Capacitance_Part_1\"><\/span>NCERT Solutions class 12 physics Electrostatic Potential\u00a0and Capacitance Part 1<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"text-align: justify;\">1:\u00a0 \u00a0Two charges <img decoding=\"async\" style=\"height: 21px; width: 63px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image001.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 21px; width: 71px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image002.png\" \/>\u00a0are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.<\/p>\n<p style=\"text-align: justify;\">2. \u00a0A regular hexagon of side 10 cm has a charge 5 <img decoding=\"async\" style=\"height: 21px; width: 27px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image021.png\" \/>\u00a0at each of its vertices. Calculate the potential at the centre of the hexagon.<\/p>\n<p>3: \u00a0Two charges <img decoding=\"async\" style=\"height: 21px; width: 109px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image029.png\" \/>\u00a0are placed at points A and B 6 cm apart.<\/p>\n<p>i. Identify an equipotential surface of the system.<\/p>\n<p>ii. What is the direction of the electric field at every point on this surface?<\/p>\n<p>4: \u00a0A spherical conductor of radius 12 cm has a charge of <img decoding=\"async\" style=\"height: 21px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image031.png\" \/>\u00a0distributed uniformly on its surface. What is the electric field<\/p>\n<p>i. Inside the sphere<\/p>\n<p>ii. Just outside the sphere<\/p>\n<p>iii. At a point 18 cm from the centre of the sphere?<\/p>\n<p style=\"text-align: justify;\">5: \u00a0A parallel plate capacitor with air between the plates has a capacitance of 8 pF (<img decoding=\"async\" style=\"height: 25px; width: 103px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image042.png\" \/>\u00a0What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?<\/p>\n<p>6: \u00a0Three capacitors each of capacitance 9 pF are connected in series.<\/p>\n<p>i. What is the total capacitance of the combination?<\/p>\n<p>ii. What is the potential difference across each capacitor if the combination is connected to a 120 V supply?<\/p>\n<p>7: \u00a0Three capacitors of capacitances 2 pF, 3 pF and 4 pF are connected in parallel.<\/p>\n<p>i. What is the total capacitance of the combination?<\/p>\n<p>ii. Determine the charge on each capacitor if the combination is connected to a 100 V supply.<\/p>\n<p style=\"text-align: justify;\">8: \u00a0In a parallel plate capacitor with air between the plates, each plate has an area of <img decoding=\"async\" style=\"height: 21px; width: 68px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image070.png\" \/>\u00a0and the distance between the plates is 3 mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor?<\/p>\n<p>9: \u00a0Explain what would happen if in the capacitor given in Exercise 2.8, a 3 mm thick mica sheet (of dielectric constant = 6) were inserted between the plates,<\/p>\n<p>i. While the voltage supply remained connected.<\/p>\n<p>2. After the supply was disconnected.<\/p>\n<p>10: \u00a0A 12 pF capacitor is connected to a 50V battery. How much electrostatic energy is stored in the capacitor?<\/p>\n<p style=\"text-align: justify;\">11. A 600 pF capacitor is charged by a 200 V supply. It is then disconnected from the supply and is connected to another uncharged 600 pF capacitor. How much electrostatic energy is lost in the process?<\/p>\n<p style=\"text-align: justify;\">12: A charge of 8 mC is located at the origin. Calculate the work done in taking a small charge of <img decoding=\"async\" style=\"height: 21px; width: 73px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image121.png\" \/>\u00a0from a point P (0, 0, 3 cm) to a point Q (0, 4 cm, 0), via a point R (0, 6 cm, 9 cm).<\/p>\n<p>13: A cube of side b has a charge q at each of its vertices. Determine the potential and electric field due to this charge array at the centre of the cube.<\/p>\n<p>14: Two tiny spheres carrying charges 1.5 <img decoding=\"async\" style=\"height: 21px; width: 102px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image147.png\" \/>\u00a0are located 30 cm apart. Find the potential and electric field:<\/p>\n<p>i. at the mid-point of the line joining the two charges, and<\/p>\n<p>ii. at a point 10 cm from this midpoint in a plane normal to the line and passing through the mid-point.<\/p>\n<p>15: A spherical conducting shell of inner radius <img decoding=\"async\" style=\"height: 24px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image177.png\" \/>\u00a0and outer radius <img decoding=\"async\" style=\"height: 24px; width: 14px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image178.png\" \/>\u00a0has a charge<\/p>\n<p>1. A charge q is placed at the centre of the shell. What is the surface charge density on the inner and outer surfaces of the shell?<\/p>\n<p>2. Is the electric field inside a cavity (with no charge) zero, even if the shell is not spherical, but has any irregular shape? Explain.<\/p>\n<p>16: \u00a0Show that the normal component of electrostatic field has a discontinuity from one side of a charged surface to another given by <img decoding=\"async\" style=\"height: 46px; width: 111px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image181.png\" \/>Where\u00a0<img decoding=\"async\" style=\"height: 28px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image182.png\" \/>\u00a0is a unit vector normal to the surface at a point and \u00cf\u0192 is the surface charge density at that point. (The direction of\u00a0<img decoding=\"async\" style=\"height: 28px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image182.png\" \/>\u00a0is from side 1 to side 2.) Hence show that just outside a conductor, the electric field is \u00a0<img decoding=\"async\" style=\"height: 33px; width: 37px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image183.png\" \/><\/p>\n<p>1. Show that the tangential component of electrostatic field is continuous from one side of a charged surface to another. [Hint: For (a), use Gauss\u2019s law. For, (b) use the fact that work done by electrostatic field on a closed loop is zero.]\n<p style=\"text-align: justify;\">17: A long charged cylinder of linear charged density <img decoding=\"async\" style=\"height: 19px; width: 14px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image192.png\" \/>\u00a0is surrounded by a hollow co-axial conducting cylinder. What is the electric field in the space between the two cylinders?<\/p>\n<p>18: In a hydrogen atom, the electron and proton are bound at a distance of about 0.53 <img decoding=\"async\" style=\"height: 27px; width: 18px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image197.png\" \/>.<\/p>\n<p>1. Estimate the potential energy of the system in eV, taking the zero of the potential energy at infinite separation of the electron from proton.<\/p>\n<p>2. What is the minimum work required to free the electron, given that its kinetic energy in the orbit is half the magnitude of potential energy obtained in (a)?<\/p>\n<p>3. What are the answers to (a) and (b) above if the zero of potential energy is taken at 1.06 <img decoding=\"async\" style=\"height: 27px; width: 18px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image197.png\" \/>\u00a0separation?<\/p>\n<p style=\"text-align: justify;\">19: If one of the two electrons of a <img decoding=\"async\" style=\"height: 24px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image217.png\" \/>\u00a0molecule is removed, we get a hydrogen molecular ion<img decoding=\"async\" style=\"height: 25px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image218.png\" \/>. In the ground state of an<img decoding=\"async\" style=\"height: 25px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image218.png\" \/>, the two protons are separated by roughly 1.5 <img decoding=\"async\" style=\"height: 27px; width: 18px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image197.png\" \/>,\u00a0and the electron is roughly 1\u00a0 <img decoding=\"async\" style=\"height: 27px; width: 18px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image197.png\" \/>\u00a0from each proton.<\/p>\n<h4 style=\"text-align: justify;\"><\/h4>\n<p><img decoding=\"async\" id=\"Picture 95\" style=\"height: 87px; width: 155px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/physics\/ch02\/image219.jpg\" alt=\"image\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_12_Physics\"><\/span><strong>NCERT Solutions for Class 12 Physics<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 12 Physics PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 12 physics includes text book solutions from both part 1 and part 2. NCERT Solutions for CBSE Class 12 Physics have total 20 chapters. 12 Physics NCERT Solutions in PDF for free Download on our website. Ncert physics class 12 solutions PDF and physics ncert class 12 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide<\/p>\n<p>To download\u00a0NCERT Solutions for class 12 Physics, Chemistry, Biology, History, Political Science, Economics, Geography, Computer Science, Home Science, Accountancy, Business Studies and Home Science; do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n<hr \/>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions class 12 physics Electrostatic Potential and Capacitance Part 1 Class 12 Physics book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT &#8230; <a title=\"NCERT Solutions class 12 physics Electrostatic Potential and Capacitance\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-physics-electrostatic-potential-and-capacitance\/\" aria-label=\"More on NCERT Solutions class 12 physics Electrostatic Potential and Capacitance\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":-1,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[281,1433],"tags":[283,1342,216,319],"class_list":["post-4419","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ncert-solutions","category-physics-cbse-class-12","tag-cbse-study-material","tag-class-12","tag-ncert-solutions","tag-physics"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions class 12 physics Electrostatic Potential and Capacitance<\/title>\n<meta name=\"description\" content=\"NCERT Solutions class 12 physics Electrostatic Potential and Capacitance in PDF format for free download. 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