Home
Class 12
PHYSICS
Two spherical conductors A and B of radi...

Two spherical conductors A and B of radii 1mm and 2mm are separated by a distance of 5 cm and are uniformly charged. If the spheres are connected by a conducting wire then in equilibrium condition, the ratio of the magnitude of the electric fields at the surfaces of spheres A and B is

A

`1:2`

B

`2:1`

C

`1:4`

D

`4:1`

Text Solution

Verified by Experts

The correct Answer is:
B
`V_(1)=V_(2)implies(KQ_(1))/(r_(1))=(KQ_(2))/(r_(2))implies(Q_(1))/(Q_(2))=(r_(1))/(r_(2))`
`E_(1)=(KQ_(1))/(r_(1)^(2)),E_(2)=(KQ_(2))/(r_(2)^(2))`
`(E_(1))/(E_(2))=(Q_(1))/(Q_(2))xx(r_(2)^(2))/(r_(1)^(2))=(r_(1))/(r_(2))xx(r_(2)^(2))/(r_(1)^(2))=(r_(2))/(r_(1)),(E_(1))/(E_(2))=(2)/(1)=2:1`.
Promotional Banner

Similar Questions

Explore conceptually related problems

Two spherical conductors A and B of radii R and 2R respectively , are separated by a large distance . If some charge is given to both the spheres and later they are connected by a conducting wire , then in equilibrium condition , the ratio of the magnitude of the electric fields at the surface of spheres A and B is

Two spherical conductors A and B of radii R and 2R respectively are each given a charge Q. When they are connected by a metallic wire. The charge will

Two spherical conductors of radii R_1 and R_2 are separated by a distance much larger than the radius of eighter sphere. The spheres are connected by a conducting wire as shown in (Fig. 3.128). If the charges on the spheres in equilibrium are q_1 and q_2 , respectively, what is the ratio of the field strength at the surfaces of the spheres ? .

Two conducting spheres of radii 3 cm and 1 m are separated by a distance of 10 cm in free space. If the spheres are charged to same potential of 10 V each, then the force of repulsion between them is

Three concentric spherical conductors A, B and C of radii R, 2R and 4R respectively. A and C is shorted and B is uniformly charged Charge on conductor A is

Two metallic sphere of radii 1 cm and 3 cm are given charges of 4xx10^(-2)C and respectively. If these are connected by a counducting wire, the final charge on the bigger sphere is

Two conducting spheres of radii 5 cm and 10 cm are given a charge of 15mu F each. After the two spheres are joined by a conducting wire, the charge on the smaller sphere is