JEE Main & Advanced
Physics
Electrostatics & Capacitance
Question Bank
Numerical Value Type Questions - Electric Charges and Fields
question_answer
A solid sphere of radius R has a charge Q distributed in its volume with a charge density \[\rho =\kappa \,{{r}^{a}}\], where \[\kappa \] and a are constants and r is the distance from its centre. If the electric field at \[r=\frac{R}{2}\] is \[=\frac{1}{8}\] times that at \[r=R\], find the value of a.