Calculate the capacitance of a parallel-plate capacitor of area S, separation d and dielectric constant varying linearly from `epsilon_(1) " to " epsilon_(2)(epsilon_(2)gtepsilon_(1))` in the direction of the applied field.
Correct Answer - Insert dielectric with constant `k_(1)`, connected the battery, disconnected the battery and remove the dielectric.
`U_(max)=(1)/(2)K_(1)^(2)V^(2)C`
Correct Answer - decrease in energy is `(1)/(2)(epsilon_(0)AV^(2))/(d)((epsilon_(r)-1)/(epsilon_(r)));` energy is transferred to the agent introducing the slab