An electrostatic field in a region is radially outward with magnitude $E$ = $\alpha r$ , where $\alpha $ is a constant and $r$ is radial distance. The charge contained in a sphere of radius $R$ in this region (centred at the origin) is
An electrostatic field in a region is radially outward with magnitude $E$ = $\alpha r$ , where $\alpha $ is a constant and $r$ is radial distance. The charge contained in a sphere of radius $R$ in this region (centred at the origin) is
- A
$\frac{2}{3}\pi {\varepsilon _0}\alpha {R^3}$
- B
$4\pi {\varepsilon _0}\alpha {R^3}$
- C
$8\pi {\varepsilon _0}\alpha {R^3}$
- D
$0$
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