If electric field in a region is radially outward with magnitude E = Ar, the charge contained in a sphere of radius r centred at the origin is
A. \(\frac{1}{4 \pi \varepsilon_{o}} A r^{3}\)
B. \(4 \pi \varepsilon_{\mathrm{o}} \mathrm{Ar}^{3}\)
C. \(\frac{1}{4 \pi \varepsilon_{0}} \frac{A}{r^{3}}\)
D. \(\frac{4 \pi \varepsilon_{0}}{\mathrm{r}^{3}}\)
Answer:B
If electric field in a region is radially outward with magnitude E = Ar, the charge contained in a sphere of radius r centred at the origin is
A. \(\frac{1}{4 \pi \varepsilon_{o}} A r^{3}\) B. \(4 \pi \varepsilon_{\mathrm{o}} \mathrm{Ar}^{3}\) C. \(\frac{1}{4 \pi \varepsilon_{0}} \frac{A}{r^{3}}\) D. \(\frac{4 \pi \varepsilon_{0}}{\mathrm{r}^{3}}\)