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Find the equivalent capacitance of the following combination as shown in the figure. In which $C_1 = C_2 = C_3 = C_4 = C_5 = 100 \; \mu F$

Two capacitors of capacitance $4 \mu F$ and $12 \mu F$ respectively are connected in series and the combination is connected momentarily across a $200\; V$ battery. The charged capacitors are now isolated and connected in parallel, similar charged plates being connected together. Calculate the common potential.

What distance should the two plates each of area $2 * 10^2 \;m^2$ of an air capacitor be placed in order to have the same capacitance as a spherical conductor of radius $0.5\;m$?

A parallel plate air capacitor has a plate separation of $5\;mm$ and is charged to a potential difference of $400\; V$. Calculate the energy density in the region between the plates.

A parallel plate air capacitor of capacitance 245∗10−12F has a charge of magnitude 0.148μF on each plate. Find the potential difference and electric field intensity between the plates if the distance between plates is 5mm .