CHAPTER $24-$ CAPACITANCE, DIELECTRICS, ELECTRIC ENERGY STORAGE

$5.(15$ points$)$ Four initially uncharged parallel plate capacitors having same plate area are connected as shown in the figure. Half of the capacitor $C_3$ is filled with a dielectric material of $=2$ and capacitor $C_1$ has capacitance of $60F.$ If only switch $S_1$ is closed,

a$)$ find charges on all the capacitors.

b$)$ find potential difference across dielectric part of $C_3.$

Now, $S_1$ is opened and then $S_2$ is closed,

c$)$ find charges on all of the capacitors.