Q. 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
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) $\frac{1}{4\pi\varepsilon_{0}}\frac{A}{\gamma_{0}^{3}}$
Explanation
The correct answer is Option B: $4\pi\varepsilon_{0}A\gamma_{0}^{3}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.