Field of NoThingness - spl BiNal

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

A thundercloud and the earth can be regarded as a parallel plate capacitor. Taking the area of the thundercloud to be $50 \;km^2$, its height above the earth as $1\; km$ and it's potential $100\; KV$, calculate the energy stored.

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 sheet of paper $40\;mm$ wide and $1.5 * 10^{-2}\;mm$ thick between metal foil of the same width is used to make a $2.04 \mu F$ capacitor. If the dielectric constant of the paper is $2.5 $, what length of the paper is required?

In the given capacitors circuit applied potential between $a$ and $b$ is $220\; V$. What is the equivalent capacitance of the network between $a$ and $b$? Given $C_1 = C_5 = 8.4 \mu F$ and $C_2 = C_3 = C_4 = 4.2\mu F$.

Making Sense of Quantum Physics

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.

Three capacitors of 1μF , 2μF and 3μF are connected first in series. The same capacitors are again connected in parallel. Compare their equivalent capacitance. Which one of these combinations gives a larger value of capacitance.

Two spheres of radii $5\; cm$ and $10\;cm$ are given charges $100\;C$ and $50\;C$ respectively and then connected by a wire. Calculate the loss of energy after connection.