A point charge $+q$ is placed at the center of a neutral, linear, homogeneous, dielectric teflon shell. Can $\mathbf{D}$ be computed from its divergence?
<img src="./images/teflon_shell_D.png" align="left" style="width: 300px";/>
$$\oint \mathbf{D} \cdot d\mathbf{A} = Q_{free}$$
1. Yes
2. No
3. Depends on other things not given
A point charge $+q$ is placed at the center of a neutral, linear, homogeneous, dielectric **hemispherical** shell. Can $\mathbf{D}$ be computed from its divergence?
<img src="./images/teflon_hemisphere_dielectric.png" align="left" style="width: 300px";/>
$$\oint \mathbf{D} \cdot d\mathbf{A} = Q_{free}$$
1. Yes
2. No
3. Depends on other things not given
## Boundary Conditions
<img src="./images/air-material-boundary-tutorial.png" align="center" style="width: 500px";/>
## Why are these boundary conditions useful?
<img src="./images/cap_w_2_dielectrics.png" align="center" style="width: 500px";/>