![]() ![]() NCERT Solutions for Class 12 Entrepreneurship.NCERT Solutions for Class 12 Macro Economics.NCERT Solutions for Class 12 Micro Economics.NCERT Solutions for Class 12 Accountancy.NCERT Solutions for Class 12 Business Studies.NCERT Solutions for Class 12 Computer Science (C++).NCERT Solutions for Class 12 Computer Science (Python).RD Sharma Class 11 Solutions Free PDF Download.The above expression can be expressed as,Ī continuous charge distribution with a charge density ρ (r), must be divided into small volume elements of size ∆v, each carrying a charge ρ ∆v. By the superposition principle, the potential V at P due to the total charge configuration is the algebraic sum of the potentials due to the individual charge that is, Where r 2P and r 3P are the distances of P from charges q 2 and q 3 , respectively and so on for the potential due to other charges. Similarly, the potential V 2 at P due to q 2 and V 3 due to q 3 can be written as, Where r1P is the distance between q1 and P. In other words, the reverse path (from infinity to the present places) requires a negative amount of work, hence the potential energy is negative. To take the charges from the specified point to infinity, a positive quantity of work against this force is required. The electrostatic force is attractive for dissimilar charges (q 1q 2< 0). This is to be expected, because the electrostatic force is repulsive for like charges (q 1 q 2 > 0), and a positive amount of effort must be done against it to get the charges from infinity to a finite distance apart. Potential energy is positive if q 1 q 2 > 0. Thus, the potential energy of a system of two charges q 1 and q 2 can be written as,Ĭlearly, the potential energy U would be the same if q 2 was transferred first to its current location and q 1 was brought later. Since electrostatic force is conservative, this work gets collected in the form of the potential energy of the system. Where r 12 is the distance between points 1 and 2. From the definition of potential, work done in bringing charge q 2 from infinity to the point r2 is q2 times the potential at r2 due to q 1, Where r 1P is the distance of a point P in space from the location of q 1. Thus, the electrostatic potential energy of a charge in an electrostatic field is defined in the same way as the gravitational potential energy of a mass in a gravitational field is.ģ Potential energy of a system of charges q 1 and q 2 is directly proportional to the product charges and inversely to the distance between them. The masses in the formulation of gravitational law are substituted by charges in the expression of Coulomb’s law. Both have an inverse-square relationship with respect to distance, with the only difference being the proportionality constants. The Coulomb force is a conservative force that exists between two (stationary) charges. Spring force and gravitational force are two examples of these forces. Conservative forces are forces of this type. As a result, the total kinetic and potential energy is preserved. When the external force is removed, the body moves, acquiring kinetic energy and losing a corresponding amount of potential energy. When an external force works to accomplish work, such as moving a body from one location to another against a force such as spring force or gravitational force, that work is collected and stored as the body’s potential energy. ISRO CS Syllabus for Scientist/Engineer Exam.ISRO CS Original Papers and Official Keys.GATE CS Original Papers and Official Keys.Full Stack Development with React & Node JS(Live).Java Programming - Beginner to Advanced.OS DBMS CN for SDE Interview Preparation.Data Structure & Algorithm-Self Paced(C++/JAVA).Full Stack Development with React & Node JS (Live).Data Structure & Algorithm Classes (Live). ![]()
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