Question

A solid ball of radius $R$ has a charge density $\rho$ given by $\rho ={\rho }_0(1-r/R)$ for $0\le r\le R$. The electric field outside the ball is:

• A. $\frac{{\rho }_0{R}^3}{{ϵ}_0{r}^2}$
• B. $\frac{{\rho }_0{R}^3}{{12ϵ}_0{r}^2}$
• C. $\frac{{4\rho }_0{R}^3}{{3ϵ}_0{r}^2}$
• D. $\frac{{3\rho }_0{R}^3}{{4ϵ}_0{r}^2}$

Answer 1

The correct option is B $\frac{{\rho }_0{R}^3}{{12ϵ}_0{r}^2}$