Electrostatic P...

Find the equivalent capacitance between A and B in the circuit shown below. If the A and B connected across a $$12 V$$, find the electrostatic potential energy of the system. (the capacitance of each capacitor is $$100 \mu F$$)

The variation of potential with distance $$R$$ from a fixed point is as shown below. A charge $$q$$ is put at $$R=3\ m$$ and released. The charge will 

The electric potential at a point in free space due to a charge $$Q$$ coulomb is $$Q\times {10}^{11}V$$. The electric field at that point is 

The distance between electric charges $$1\mu C$$ and $$3\mu C$$ is $$8m$$. What is the electric potential at a point on the line joining them where the electric field is zero? ($$k=9\times {10}^{9}$$ SI)

A number of capacitors, each of capacitance $$1\mu F$$ and each one of which gets punctured if a potential difference just exceeding $$500$$ volt is applied, are provided. Then an arrangement suitable for giving a capacitor of capacitance $$3\mu F$$ across which $$2000$$ volt may be applied requires at least:

The equivalent capacitance between the terminals $$X$$ and $$Y$$ in the figure shown will be -

A dielectric slab of thickness $$d$$ inserted in a parallel plate capacitor whose negative plate is at $$x=0$$ and   positive plate is at $$x=3d$$.  The slab is equidistant from the plates. The capacitor is given some charge .As $$x$$ goes from $$0$$ to $$3d$$:

In the connections shown in the adjoining figure, the equivalent capacity between points $$A$$ and $$B$$ will be

Four condensers are joined as shown in figure. The capacity of each is $$8\ \mu F$$. The equivalent capacity between the points $$A$$ and $$B$$ will be

Five capacitors of $$10\mu F$$ capacity each are connected to a DC potential of $$100V$$ as shown in figure. The equivalent capacity between the points A and B will be