Figure shows a parallel plate capacitor having square plates of edge length a and separation d. The gap between the plates is filled with a dielectric of dielectric constant K which varies parallel to an edge as, K=Ko+αx
Where, K and α are constants and x is the distance from the left end. Calculate the capacitance of system.
Why this question? Tip: It intends to challenge the understanding of combination of capacitors. If we look carefully we can infer that all small capacitors are connected in parallel, hence integration will be used to obtain summation of all capacitance. or,Cnet=∫dC |