Home
Class 12
PHYSICS
A charge 'Q' is distributed over two con...

A charge 'Q' is distributed over two concentric hollow spheres of radii 'r' and 'R' (gtr) such that the surface densities are equal. Find the potential at the common centre.

A

`Q/(4 pi epsilon_0) xx ((r + R))/((R + r)^2)`

B

`(Q(R^2 + r)^2)/(4pi epsilon_0(r + R))`

C

`(Q(r + R))/(4pi epsilon_0(R^2 + r^2))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Let charge on smaller sphere be x
`x/(4pi r^2) = (Q - x)/(4 pi R^2) implies x = (Qr^2)/(R^2 + r^2)`
and `V = (Kx)/(r) + (K(Q - x))/(R)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 63

    NTA MOCK TESTS|Exercise PHYSICS|30 Videos

  • NTA TPC JEE MAIN TEST 65

    NTA MOCK TESTS|Exercise PHYSICS |30 Videos

Similar Questions

Explore conceptually related problems

A charge Q is distributed over two concentric holllow spheres of radii r and R (gt r) such that the surface densities are equal. Find the potential at the common centre.

A charge Q is distributed over two concentric hollow spheres of radii r and R (gt r) such that the surface charge densities are equal. Find the potential at the common centre.

Knowledge Check

  • A charge q is distributed over two concentric hollow sphere of radii a and b(bgtc) such that the surface densities are equal.Find the potential at the common centre.is

    A
    zero
    B
    `(q)/(4piepsilon_(0))((a+b))/((a^(2)+b^(2)))`
    C
    `(q)/(4piepsilon_(0))[(1)/(a)+(1)/(b)]`
    D
    `(q)/(4piepsilon_(0))[(a+b)/((a^(2)+b^(2)))]`

  • A total charge Q is distributed over two concentric hallow uniform sphere of radii a and b, (bgta) such a way that their surface charge densities are qual. The potential at the common centre is given by :

    A
    `(Q)/(4piepsilon_(0))((a+b))/((a^(2)+b^(2))`
    B
    `(Q)/(4piepsilon_(0))((a-b))/((a^(2)+b^(2))`
    C
    `(Q)/(4piepsilon_(0))((a-b))/((a+b)^(2))`
    D
    `(Q)/(4piepsilon_(0))((b-a))/((a+b)^(2))`

  • Two concentric spheres of radii R and r have similar charges with equal surface densities (sigma) What is the electric potential at their common centre /

    A
    `sigma//epsilon_0`
    B
    `sigma/epsilon_0 (R-r)`
    C
    `sigma/epsilon_0 (R+r)`
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    A charge Q=(5)/(100)nC is distributed over two concentric hollow spheres of radii r=3 cm and R=6cm such that the densities are equal .Find the potential in volt at the common centre.

    A charge Q is distributed over the surfaces of two concentric hollow spheres of radii r and R ( R gt gt r) , such that their surface charge densities are equal . Derive the expression for the potential at the common centre.

    A charge Q is distributed over three concentric spherical shells of radii a, b, c (a lt b lt c) such that their surface charge densities are equal to one another. The total potential at a point at distance r from their common centre, where r lt a, would be :

    Two concentric spheres of radii R and r have similar charges with equal surface densities (sigma) What is the electric potential at their common centre /

    A charge 2Q is distributed over three concentric non-conducting spherical shells of radii a, b, c (a < b < c) such that their surface charge densities are equal to one another. The total potential at a point at distance r from their common centre, where r < a , would be:

    Home
    Profile