Question icon
Grade 12Electrostatics

A non conducting spherical shell of inner radius a and outer radius b has p= A/r where a is constant and r is the distance from the center of shell . in addition a positive point charge q is locatewd at center . What value should A have if electric field in the shell is to be uniform ?

Profile image of NAKUUL MARWAH
16 Years agoGrade 12
Answers icon

1 Answer

Profile image of Chetan Mandayam Nayakar
15 Years ago

(∫(((A/r)4pi*r^2)/(4pikr^2))dr from r=a to r=b)=(∫((A/r))/(k)dr =Ak(ln(r/a))+(q/(4pikr^2)=constant,

so the derivative w.r.t. r=0