Consider a capacitor made of two square plates of side l. The distance between the two plates is d .
(a) We insert a dielectric of dielectric constant K>1 and width l a distance x (as in the diagram). What is the total capacitance of this arrangement? Express your answer in terms of the following variables and constants, if relevantl, x , d , K , and epsilon_0
incorrect
(b) The capacitor is now connected to battery which provides a difference of potential Vo across the capacitor. What is the energy stored in the capacitor?
Express your answer in terms of the following variables, if relevantl, x , ,d , K , Vo and epsilon_0
(c) While the battery is still connected to the capacitor, we now move the dielectric slab a bit further in between the plates, increasing x by an amount Δ. What is the change in the energy stored in the capacitor?
Express your answer in terms of the following variables, if relevantl,x , d , K ,Vo, Δ , and epsilon_0
What is the work done by the battery while we push the dielectric slab in from its original position x to x+Δ ? (make sure you have the correct sign!) Express your answer in terms of the following variables, if relevant l, x ,d , K ,Vo ,Δ and epsilon_0
incorrect
What is the work done by us while we push the dielectric slab in? (make sure you have the correct sign!) Express your answer in terms of the following variables, if relevant,l , x ,d , K, Vo, Δ and epsilon_0
2 answers