# Electric Potential Due to Shell

## Trending Questions

**Q.**Two charges + 2 μ C and + 8 μ C are placed at two vertices of equilateral triangle of side 1m. The potential at third vertex of the triangle isOptions:90 x 10v9 x 10 V0.9 x 10 V900 x 10 V

**Q.**

An electric dipole is at the centre of a hollow sphere of radius r, where Q is the charge and d is the distance between the two charges of the dipole. The total normal electric flux through the sphere

Q.d

zero

**Q.**Two conducting spheres of radii a and b respectively are charged and joined by a wire. The ratio of electric field due the spheres at their surfaces when isolated is

- ba
- a2b2
- ab
- b2a2

**Q.**What is de Broglie wavelength associated with an electron, accelerated through a potential difference of 64 V?

- 0.451 nm
- 0.361 nm
- 0.153 nm
- 0.281 nm

**Q.**An infinite, uniformly charged sheet with surface charge density (p) cuts through a spherical Gaussian surface of radius R at a distance x from its centre, as shown . The electric flux through the Gaussian surface is

**Q.**Two insulated charged conducting spheres of radii 20 cm and 15 cm respectively and having an equal charge of 10 C are connected by a copper wire and then they are separated. Then

- Surface charge density on the 15 cm sphere will be greater than that on the 20 cm sphere
- Both the spheres will have the same charge of 10 C
- Surface charge density on the 20 cm sphere will be greater than that on the 15 cm sphere
- Surface charge density on the two spheres will be equal

**Q.**A point charge q is placed at a distance r from the centre O of a uncharged spherical conducting shell of inner radius R and outer radius 2R. The distance r<R. The electric potential at the centre of the shell will be

- q8πϵ0R
- q4πϵ0r
- q4πϵ0[1r−12R]
- q4πϵ0[1r+12R]

**Q.**

A $12.5eV$ electron beam is used to bombard gaseous hydrogen at room temperature. What series of wavelengths will be emitted?

**Q.**An electron (of mass m) and a photon have the same energy E in the range of a few eV. The ratio of the de-Broglie wavelength associated with the electron and the wavelength of the photon is (c= speed of light in vacuum)

- 1c(2Em)1/2
- c(2mE)1/2
- 1c(E2m)1/2
- (E2m)1/2

**Q.**

The electric flux of a surface is maximum, when

**Q.**11.A spherical charge distribution is symmetrical about a point O.The volume charge density Rho depend upon the distance r from the point O as rho p(1-r/R).Find the total charge enclosed inside a sphere of Radius R having center at O

**Q.**A hollow conducting sphere of radius R has a charge (+Q) on its surface. What is the electric potential within the sphere at a distance r=R3 from its centre

- Zero
- 14πϵ0QR
- 14πϵ0Qr
- 14πϵ0Qr2

**Q.**Two charged conducting spheres of radii r1 and r2 connect to each other by a wire . find the ratio of electric fields at the surface of the two spheres?

**Q.**Three concentric spherical metallic shells A, B and C of radii a, b and c(a<b<c) have surface charge densities σ, −σ and σ, respectively.

If VA, VB and VC are potential of shells A, B and C, respectively, match the columns

Column AColumn Ba.VAi.σε0[a2−b2+c2c]b.VBii.σε0[a2b−b+c]c.VCiii.σε0[a−b+c]

- a − ii, b − iii, c − i
- a − iii, b − ii, c − i
- a − iii, b − i, c − ii
- a − i, b − ii, c − iii

**Q.**four point charges -Q, -q, 2q and 2Q are placed one at each corner of the square. the relation between Q and q for which the potential at the centre of the squar is zero is:

**Q.**A hollow metal sphere of radius 5 cm is charged so that the potential on its surface is 10 V. The potential at the centre of the sphere is

- Same as at point 25 cm away from the surface
- Same as at point 5 cm away from the surface
- 10 V
- 0 V

**Q.**

What are electrostatic shielding and its applications?

**Q.**A circular wire loop of radius r carries a total charge Q distributed uniformly over its length. A small length dl of the wire is cut off. The electric field at the centre due to the remaining wire is:-

- Qdl8π2ϵ0r3
- Qdl2π2ϵ0r3
- Qdl8πϵ0r3
- Qdl4π2ϵ0r3

**Q.**two metallic spheres of radii 1 cm and 2 cm are given charges 10^-2 and 5*10^-2 respectively. if they are connected by a conducting wire the final charge on smaller sphere is?

**Q.**A spherical conductor of radius 2m is charged to a potential of 120 V. It is now placed inside another hollow spherical conductor of radius 6m. Calculate the potential to which the bigger sphere would be raised to?

- 20 V
- 60 V
- 40 V
- 80 V

**Q.**Equal charges are given to two conducting spheres of different radii. The potential will be

- more on the smaller sphere
- more on the bigger sphere
- equal on both the spheres
- Dependent on the nature of the materials of the spheres

**Q.**A spherical conductor is placed near another positively charged conductor. The net charge acquired by spherical conductor will be(1) Either positive or negative(2) Positive only(3) Negative only(4 Zero

**Q.**13.What is the electric field at centre of uniformly charged quarter circle

**Q.**A charge ‘q’ is placed at the centre of a conducting spherical shell of radius R, which is given a charge 'Q'. An external charge Q' is also present at distance R′(R′>R) from ‘q’. Then the resultant electric field will be best represented for region r > R by: (where r is the distance of the point from q)

**Q.**

The de-Broglie wavelength associated with an electron and a proton was calculated by accelerating them through the same potential of $100V$. What should nearly be the ratio of their wavelengths? $({m}_{p}=1.00727u;{m}_{e}=0.00055u)$.

$\left(1860\right)2:1$

$43:1$

$1860:1$

$41.4:1$

**Q.**45.A small spherically symmetric charge q is placed at one vertex of a cube as shown in fig. The flux through the faves ABCD and HGEF are,

**Q.**Charges +q and −q are placed at the vertices B and C of an isosceles triangle. The potential at the vertex A is

- 14πϵ0.2q√a2+b2
- zero
- 14πϵ0.q√a2+b2
- 14πϵ0.−q√a2+b2

**Q.**A charge q=1 μC is placed at point (1 m, 2 m, 2 m). Find the magnitude of electric field at point (0 m, 1 m, 1 m)

- 1×103 N/C
- 2×103 N/C
- 3×103 N/C
- 4×103 N/C

**Q.**A point charge is placed at A(3, 4)m in xy plane then electric field at origin is E. If charge is moved from A to B (24, 7)m then electric field at origin is:-

- E25

- 25E
- 5E
- E5

**Q.**An insulator solid sphere of radius R is charged in a uniform manner such that volume charge density p=A/r where A is constant, r is distance from the centre. Electric field strength at any inside point at a radial distance r is?