Electrostatic P...

Effective capacitance of parallel combination of two capacitors $$C_1$$ and $$C_2$$ is $$10\mu F$$. when these capacitors are individually connected to a voltage source of $$1V$$, the energy stored in the capacitor $$C_2$$ is 4 times that of $$C_1$$. If these capacitors are connected in series, their effective capacitance will be:

The equivalent capacitance between $$A$$ and $$B$$ in the circuit given below is:

Figure shows a network of capacitors where the numbers indicates capacitances in micro Farad. The value of capacitance C if the equivalent capacitance between point A and B is to be 1 $$\mu F$$ is : 

Three capacitances, each of $$3\mu F$$, are provided. These cannot be combined to provide the resultant capacitance of :

A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor

Three capacitors each of $$4\ \mu F$$ are to be connected in such a way that the effective capacitance is $$6\ \mu F$$. This can be done by connecting them:

An electric charge $$10^{-3}\mu C$$ is placed at the origin $$(0,0)$$ of X - Y co-ordinate system. Two points A and B are situated at $$(\sqrt{2},\sqrt{2})$$ and $$(2, 0)$$ respectively. The potential difference between the points A and B will be:

A parallel plat capacitor is made of two circular plates separated by a distance of $$5 mm$$ and with a dielectric of dielectric constant $$2.2$$ between them. When the electric field in the dielectric is $$3 \times 10^4$$V/m, the charge density of the positive plate will be close to:

A parallel plate capacitor C with plates of unit area and separation d is filled with a liquid of dielectric constant $$K = 2.$$The level of liquid is $$\dfrac{d}{3}$$ initially. Suppose the liquid level decreases at a constant speed V, the time constant as a function of time $$t$$ is :

A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielectric slab of dielectric constant K, which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?