- Home
- Standard 12
- Physics
Consider a uniform spherical charge distribution of radius $R_1$ centred at the origin $O$. In this distribution, a spherical cavity of radius $R_2$, centred at $P$ with distance $O P=a=R_1-R_2$ (see figure) is made. If the electric field inside the cavity at position $\overrightarrow{ r }$ is $\overrightarrow{ E }(\overrightarrow{ r })$, then the correct statement$(s)$ is(are) $Image$
$\vec{E}$ is uniform, its magnitude is independent of $R_2$ but its direction depends on $\vec{r}$
$\vec{E}$ is uniform, its magnitude depends on $R_2$ and its direction depends on $\overrightarrow{ r }$
$\overrightarrow{ E }$ is uniform, its magnitude is independent of $a$ but its direction depends on a $\vec{a}$
$\overrightarrow{ E }$ is uniform and both its magnitude and direction depend on $\overrightarrow{ a }$
Solution
$\overrightarrow{ E }=\frac{\rho}{3 \varepsilon_0} \overline{ C _1 C _2}$
$C _1 \Rightarrow$ centre of sphere and $C _2 \Rightarrow$ centre of cavity.
