A spherical capacitor consists of two concentric spherical conductors, held in position by suitable insulating supports (Fig. 2.34). Show that the capacitance of a spherical capacitor is given by
`C = (4 pi epsilon_(0)r_(1)r_(0))/(r_(1)-r_(2))`

where `r_(1)` and `r_(2)` are the radii of outer and inner spheres, respectively.

Capacitance of spherical capacitor is 1 muF , so its diameter = ........ m. [(1)/(4pi epsilon_(0))=9xx10^(9) SI]

A car is moving on a circular path and takes a turn. If R_(1) and R_(2) be the reactions on the inner and outer wheels, respectively, then

For spherical symmetrical charge distribution, variation of electric potential with distance from centre is given in diagram Given that : V=(q)/(4pi epsilon_(0)R_(0)) for r le R_(0) and V=(q)/(4 piepsilon_(0)r) for r ge R_(0) Then which option (s) are correct :

Write ‘True’ or ‘False’ and justify your answer: The volume of the frustum of a cone (1)/(3)pi h(r_(1)^(2)+r_(2)^(2)-r_(1)r_(2)) where h is the vertical height of the frustum and r_(1),r_(2) are the radii of the ends.

Two metallic s pheres of radii R_(1) and R_(2) are connected b y a thin wire. If +q_(1)~ and +q_(2) are the charges on the two s pheres then

Two batteries of emf epsilon_(1) and epsilon_(2) (epsilon_(2) gt epsilon_(1)) and internal resistances r_(1) and r_(2) respectively are connected in parallel as shown in figure.

Electric field on surfaces of two spheres of radius r_(1) and r_(2) are same, then ratio of their electric potential will be ....... .

A spherical capacitor has an inner sphere of radius 12 cm and an outer sphere of radius 13 cm. The outer sphere is earthed and the inner sphere is given a charge of 2.5 µC. The space between the concentric spheres is filled with a liquid of dielectric constant 32. (a) Determine the capacitance of the capacitor. (b) What is the potential of the inner sphere? (c) Compare the capacitance of this capacitor with that of an isolated sphere of radius 12 cm. Explain why the latter is much smaller.

Charge Q is distributed uniformly over a non conducting sphere of radius R. Find the electric p-0tential at distance r from the centre of the sphere r (r lt R) . The electric field at a distance r from the centre of the sphere is given as (1)/(4pi epsilon_(0)). (Q)/(R^(3))hatr . Also find the potential at the centre of the sphere .