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";/>