• All other trademarks and copyrights are the property of their respective owners. margin-left: auto; font-size: 14px; } Create your account. Earn Transferable Credit & Get your Degree, Get access to this video and our entire Q&A library. a. Derive an expression for the energy density of a parellel plate capasitor 2 See answers motohack6 is waiting for your help. Cloudflare Ray ID: 5f1a77e699872c36 If you are at an office or shared network, you can ask the network administrator to run a scan across the network looking for misconfigured or infected devices. - Definition, Equation & Examples, Electric Motors & Generators: Converting Between Electrical and Mechanical Energy, Simple Harmonic Motion (SHM): Definition, Formulas & Examples, What is Electrical Energy? All rights reserved. Required desktop or laptop with internet connection, All Content and Intellectual Property is under Copyright Protection | myCBSEguide.com ©2007-2020, Derive and expression for energy density of a parallel plate capacitor, Briefly discuss the various theories about the nature of light. padding: 5px; The energy density ‘μ’ is described as the energy stored ‘U’ per unit volume ‘V’ .mathematically it is expressed as: If any dielectric medium having dielectric constant ‘K e ‘ is placed between the plates of a capacitor,then the expression of energy stored in the electric field of capacitor ‘U’ and energy density ‘μ’ will become: Watch also video: Tags. Strategy. We are given E cap and V, and we are asked to find the capacitance C.Of the three expressions in the equation for E cap, the most convenient relationship is [latex]E_{\text{cap}}=\frac{CV^2}{2}\\[/latex]. Simply apply as teacher, take eligibility test and start working with us. Suppose two capacitors 'C 1 ' and'C 2 ' are charged up to 'Q 1 ' and'Q 2 '. An alpha particle is accelerated through a potential difference of 10kV and moves along the x -axis.It enters a region of uniform magnetic field B=2×10^(-3)T acting along the Y -axis.Find the radius of its path. Capacitance in a Heart Defibrillator. If a small additional charge dQ’ is given, the work done will be, Question 4. An equipotential surface is a surface with constant value of potential at all points on the surface. calculate the time period of rotation of electron in magnetic field. A wire placed along north south direction carries current of 5A from south to north .Find the magnetic field due to a 1 cm piece of wire at a point 200cm north east from the poece, I got 95 percentage in my 10th standard. text-transform: none; Hence energy stored in the capacitor = `1/2 Q^2/"C" = (Asigma)^2/2 xx d/(epsilon_oA)` The surface charge density `sigma` is related to the electric field `E` between the plates, `E` = `sigma/epsilon_o` So, energy stored in the capacitor = `1/2epsilon_oE^2 xx Ad` Here, Ad is volume between the plates of capacitor. .center { }, .btn { font-size: 14px; Derive and expression for energy density of a parallel plate capacitor. Another way to prevent getting this page in the future is to use Privacy Pass. C = \frac{\epsilon_0 A}{d} Sciences, Culinary Arts and Personal Question: Derive the expression for the energy density of a parallel plate capacitor. Let us consider a parallel plate capacitor having area A, plate separation d and capacitance C, Let a battery having a voltage V is connected across... Our experts can answer your tough homework and study questions. } © copyright 2003-2020 Study.com. {/eq}. margin-right: auto; \end{align} display: block; A parallel plate capacitor is a simplest kind of capacitor which is made from two metal plates which are charged oppositely and separated by a finite distance. A fly sitting on it is viewed directly through the glass. }, No software required, no contract to sign. Your IP: 51.254.38.17 • Completing the CAPTCHA proves you are a human and gives you temporary access to the web property. This is the expression for energy density of a charged capacitor having no dielectric medium between two poles. Im a very good studying student. The capacitance of a parallel plate capacitor is given by, {eq}\begin{align}

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