question_answer

The electric field in a region is radially outward with magnitude \[E=A{{\gamma }_{0}}\]. The charge contained in a sphere of radius \[{{\gamma }_{0}}\] centered at the origin is     [AMU 1999]

A)            \[\frac{1}{4\pi {{\varepsilon }_{0}}}A\gamma _{0}^{3}\]    

B)            \[4\pi {{\varepsilon }_{0}}A\gamma _{0}^{3}\]

C)            \[\frac{4\pi {{\varepsilon }_{0}}A}{{{\gamma }_{0}}}\]        

D)            \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{A}{\gamma _{0}^{3}}\]