Electrostatic P...

The ratio of momentum of an electron and an alpha particle which are accelerated from rest by  potential difference of 100 V is:

A charged particle 'q' is shot with speed v towards another fixed charged particle Q. It approaches Q upto a closest distance r and then returns. If q were given a speed $$2v$$, the closest distance of approach would be.

The area of the plates of a parallel plante capacitor is $$A$$ and the gap between them is $$d$$. The gap is filled with a non-homogeneous dielectric whose dielectric constant varies with the distance $$y$$ from one plate as:$$K=\lambda \sec { \left( \cfrac { \pi y }{ 2d }  \right)  } $$, where $$\lambda$$ is a dimensionless constant. The capacitance of this capacitor is

A capacitor is charged by a battery and then the battery is disconnected. A dielectric slab is introduced between the plates. The result is

The equivalent capacitance between point $$a$$ and $$b$$ in the combination of capacity figure is

The equivalent capacitance for the network shown in the figure is:

A capacitor of capacitance $${ C }_{ 1 }$$ is charged to a potential V and then connected in parallel to an uncharged capacitor of capacitance $${ C }_{ 2 }$$. The final potential difference across each capacitor will be

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

Two capacitors of 2 $$\mu F$$ and 4 $$\mu F$$ are connected in parallel. A third capacitor of 6 $$\mu F$$ is connected in series. The combination is connected across a 12 V battery. The voltage across 2 $$\mu F$$ capacitor is:

A parallel plate capacitor of capacitance 5 $$\mu F$$ and plate separation 6 cm is connected to a 1 V battery and charged. A dielectric of dielectric constant 4 and thickness 4 cm is introduced between the plates of the capacitor. The additional charge that flows into the capacitor from the battery is