Home
Class 12
PHYSICS
Charge on the outer sphere is q, and the...

Charge on the outer sphere is `q`, and the inner sphere is grounded. Then the charge `q`' on the inner sphere is q', for
`(r_(2) gt r_(1))`

Text Solution

Verified by Experts

Let us suppose the charge on the inner sphere be x then the potential of the inner sphere will be `=(1)/(4iepsilon_(0))[(x)/(R_(1))+(Q)/(R_(2))]`
This potential has to be made equal to zero because the inner sphere is grounded
So, `(1)/(4piepsilon_(0))[(x)/(R_(1))+(Q)/(R_(2))]=0`
`:. x=-Q(R_(1))/(R_(2))`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    AAKASH INSTITUTE|Exercise TRY YOURSELF|110 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-A) Objective Type Questions (Only one answer)|47 Videos

  • ELECTROMAGNETIC WAVES

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D Assertion-Reason Type Questions|25 Videos

  • GRAVITATION

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D (ASSERTION-REASON TYPE QUESTIONS)|16 Videos

Similar Questions

Explore conceptually related problems

There are two concentric metal shells of radii r_(1) and r_(2) ( gt r_(1)) . If initially, the outer shell has a charge q and the inner shell is having zero charge and then inner shell is grounded. Find : (i) Charge on the inner surface of outer shell. (ii) Final charges on each sphere. (iii) Charge flown through wire in the ground.

A spherical capacitor has an outer sphere of radius 0.15m and the inner sphere of diameter 0.2m The outer sphere is earthed and the inner shere is given charge of 6 muC . The space between the concentric spheres is filled with a material of dielectric constant 6. Calculate capacitacne and potential of inner sphere.

A sphere of radius 10 cm conecentrically surrounded by a thin spherical shell of radius of 11 cm A charge of 100muC is imparted to the outer spheree and the inner one is earthed. Calculate the charge on the outer surface of the inner sphere and on the two surfaes of the outer sphere.

Consider two concentric spherical metal shells of radii r_(1) and r_(2) (r_(2) gt r_(1)) . If the outer shell has a charge q and the inner one is grounded, then the charge on the inner shell is

A sphere of 4 cm radius is suspended within a hollow sphere of 6 cm radius. The inner sphere is charged to potential 3 e.s.u. and the outer sphere is earthed. The charge on the inner sphere is

Consider two concentric conducting spheres. The outer sphere is hollow and initially has a charge -7Q on it. The inner sphere is solid and has a charge +2Q on it. a. How much charge is on the outer surface and inner surface of the outer sphere. b. If a wire is connected between the inner and outer sphere, after electrostatic equilibrium is established how much total charge is on the outer sphere? How much charge is on the outer surface and inner surface of the outer sphere? Does the electric field at the surface of the inside sphere change when the wire is connected? c. We return to original condition in (a). We now connect the outer sphere to ground with a wire and then disconnect it. How much total charge will be on the outer sphere? How much charge will be on the inner surface and outer surface of the outer sphere?

Capcity of a spherical capacitor is C_(1) when in sphere is charged and outer sphere is earthed and when inner sphere is earthed and outer sphere charged. Then (C_(1))/(C_(2)) is (a = radius of inner sphere b = radius of outer sphere)

Consider tow concentric conducting spheres of radii a & b (b gt a) . Inside sphere has a positive charge q_1 . What charge should be give to the ouer sphere so that potential of the inner sphere becomes zero ? How does the potentila varies between the two spheres & outside ?