Electrostatic P...

A body of mass one gram and carrying a charge $${ 10 }^{ -8 }C$$ passes through two points P and Q. The electrostatic potential at Q is 0V. The velocity of the body at Q is $$0.2{ ms }^{ -1 }$$ and at P is $$\sqrt { 0.028 } m{ s }^{ -1 }$$. The potential at P is

The equivalent capacitance between points A and$$ \mathrm{B}  $$ of the circuit shown will be:

The p.d. between A and B in steady-state is :-

A charge of $$10 \mu C$$ is placed at the origin of $$x - y$$ coordinate system. The potential difference between two points $$( 0 , \text { a) and } ( a , 0 )$$ in volt will be 

Two condensers, one of capacity C are the order of capacity $$\dfrac { C }{ 2 } $$ are connected to a- V- volt battery as shown 
The  work done by battery in charging fully both the condensers is 

A parallel plate condenser of capacitry 100 pF is connected to 230 V of AC supply of 300rad/ sec frequency . The rms value of displacement current 

A particle having charge that on an electron and mass $$1.6 \times 10^{-30}$$kg is projected with an initial speed 'u' to the horizontal from the lower plate of a parallel plate capacitor as shown. The plates are sufficiently long and have separation 2cm. Then the maximum value of velocity of particle not to hit the upper plate. ($$E = 10^3 V/m$$ upwards)

Find equivalent capacitance between A and B :-

Two non-conducting infinite plane sheets having charges distributed on four faces as shown in figure are placed parallel to each other. The magnitude of electric field intensities at three points $$  A, B  $$ and $$  C  $$ are: $$ (S  $$ is surface area of the sheet) 

A resistor $$ ^{\prime} R^{\prime}  $$ and $$2  \mu F  $$ capacitor in series is connected through a switch to $$200  \mathrm{V}  $$ direct supply. Across the capacitor is a neon bulb that lights up at $$120  \mathrm{V} $$ Calculate the value of $$  R  $$ to make the bulb light up $$5  s  $$ after the switch has been closed. $$ \left(\log _{10} 2.5=0.4\right) $$