Electrostatic P...

A parallel plate air capacitor is connected to a battery. The quantities charge, voltage, electric filed and energy associated with this capacitor are gives by $$Q_{0},V_{0},E_{0}$$ and $$U_{0}$$ respectively. A dielectric slab is now introduced to fill the space between the plates with the battery still in connection. The corresponding quantities are now given by $$Q$$, $$V$$, $$E$$ and $$U$$ are related to the previous one as:

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

Between the plates of a parallel plate capacitor of capacity C, two parallel plates of the same material and area same as the plate of the original capacitor, are placed. If the thickness of these plates is equal to $$\left\{\dfrac {1}{5}\right\}^{th}$$  of the distance between the plates of the original capacitor, then the capacity of the new capacitor is :

The capacitance of a parallel plate condenser is $$C_{1}$$(fig. a). A dielectric of dielectric constant ‘K’ is inserted as shown in figure ‘b’ and ‘c’. If $$C_{2}$$ and $$C_{3}$$ are the capacitances in figures ‘b’ and ‘c’ then :

A parallel plate capacitor with plates separated by air acquires 1 $$\mu $$C of charge when connected to a battery of 500V. The plates still connected to the battery are then immersed in benzene ($$k=2.25$$). Then a charge flows from the battery is :

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

Two short dipoles are situated parallel to each other separated by a distance x. The force of interaction is

Positive charge flow from a body at ________to a body at _______. Fill in the blanks. 

Point charges $$q_1 = +1 \: \mu C$$ and $$q_2$$ whose magnitude is $$64=27\:\mu C$$ are fixed 5 m apart along a vertical line with $$q_1$$ being at lower position. These two charges together are able to hold an oil drop of mass $$1 \mu g $$ and charge Q stationary when it is 3 m away from $$q_1$$ and 4 m away from $$q_2$$. The sign of the charge $$q_2$$ and the value of Q are respectively:

The potential difference between points A and B, in a section of a circuit shown, is