Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

A non-conducting spherical thick shell, of inner radius a and outer radius 2a, carries a charge per unit volume density. Calculate the electrostatic potential energy of this system g

Sagot :

JeanaShupp

Answer: Electrostatic potential energy of the given system is

U=1/4π∈*(96/5)*Q²/a

Explanation:

consider spherical shell of inner radius a  (taken as x) and outer radius 2a ,carrying charge Q and volume charge density ρ=Q/4π(2a)³...........................(1)

then voume of the shell=4πx²dx

charge on the shell inner part of the shell.q1=4πx²dx ρ

charge on this ,in case of sphereical type,q2=4/3*πx³ ρ

then electrostatic energy of sperical charge of radius a (which we taken as x) and sperical shell of radius x and thickness dx is,

dU=1/4π∈ *(q1q2)/x

by placing value of q1 and q2 from above , we will get a equation

    dU=1/4π∈*(16/3*π²ρ²x [tex]x^{4}[/tex]dx

then total electrostatic energy of sperical charge by integrating from limit a to 2a and putting value of ρ then we will get

U=1/4π∈*(96/5)Q²/a

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.