KEAM 2018

Find the total capacitance and total charge on the capacitors

A capacitance of a parallel plate air capacitor is $10\mathrm{\mu F}.$ Dielectric constant of the medium to be introduced in between its plates to double its capacitance is

A circuit is made using $R_1, R_2, R_3, R_4$ and a battery as shown in the following figure. Find the equivalent resistance of the given circuit and the current passing through $R_3$

When two capacitors are connected in parallel the resulting combination has capacitance $\mathrm{10 }\mu F.$ The same capacitors when connected in series results in a capacitance $\mathrm{0.5 }\mu F.$ The respective values of individual capacitors are