All Problems

Conductors and Dielectrics in an Electric Field

Problem 3.86

Half the space between two concentric electrodes of a spherical capacitor is filled, as shown in Fig. 3.14,3.14, with uniform isotropic dielectric with permittivity ε.\varepsilon . The charge of the capacitor is qq Find the magnitude of the electric field strength between the electrodes as a function of distance rr from the curvature centre of the electrodes.

Reveal Answer
E=q/2πε0(ε+1)r2E=q / 2 \pi \varepsilon_{0}(\varepsilon+1) r^{2}