# Electric Potential Due to Charged Infinite Sheets

## Trending Questions

**Q.**A hollow charged conductor has tiny hole cut into its surface. Show that electric field in hole is (sigma upon 2 epsilon) n where n is the unit vector in the outward normal direction, and sigma is the surface charge density near the hole.

**Q.**Figure shows two equipotential lines in XY plane for an electric field. The scales are marked. The X-component Ex and Y-component Ey of the electric field in the space between these equipotential lines are respectively.

- +100 Vm−1, −200 Vm−1
- +200 Vm−1, +100 Vm−1
- −100 Vm−1, +200 Vm−1
- −200 Vm−1, +100 Vm−1

**Q.**A thin semicircular conducting ring of radius R is falling with its plane vertical in a horizontal magnetic induction B. At the position MNQ, the speed of the ring is V and the potential difference developed across the ring is

- Zero
- BVπR2/2 and M is at higher potential

- πRBV and Q is at higher potential

- 2RBV and Q is at higher potential

**Q.**ntTwo charges 12uC and 8 uC are 10cm apart. Find the work done to move the charges 4cm closer.n

**Q.**A solid uniformly charged fixed non conducting sphere of total charge Q and radius R contains a tunnel of negligible diameter. If a point charge −q of mass ′m′ is released at rest from point P as shown in figure then its velocity at the surface of the sphere is found to be √(nqQ12πε0Rm). Find the value of n (Give integer value)

**Q.**Statement (1) : For a non-uniformly charged thin circular ring with net charge zero, the electric potential at each point on the axis of the ring is zero.

Statement (2) : For a non-uniformly charged thin circular ring with net charges as zero, electric field at any point on the axis of the ring is zero.

- (1) is true, (2) is false.
- (1) is false, (2) is true.
- Both statements are true.
- Both statements are false.

**Q.**The electrostatic potential inside a charged spherical ball is given by V=ar2+b, where r is the distance from the centre; a and b are constants. Then the charge density inside ball is

- −6aε0r
- −24πaε0r
- −6aε0
- −24πaε0

**Q.**Two point charges q and -q are held stationary at separation d. The work done by electric force as the spacing changes to 2d is

**Q.**A point charge q is surrounded by eight identical charges at a distance r as shown in figure. How much work is done by the forces of electrostatic repulsion when the point charge at the center is removed to infinity?

- 8q24πε0r
- 18q24πε0r
- 64q24πε0r
- Zero

**Q.**The side of the cube is ′l′ and point charges are kept at each corner as shown in diagram. Interactive electrostatic potential energy of all the charges is 4kq2√Nl, then N is

**Q.**A charged sphere of radius 0.02 m has charge density of 1 Cm−2. The workdone when a charge of 40 nC is moved from infinity to a point that is at a distance of 0.04 m from the centre of the sphere.

- 1.44π J
- 2 J
- 14.4π J
- 1.44 J

**Q.**Quarter non-conducting disc of radius 4R having uniform surface charge density σ is placed in xz-plane, then which of the following is correct?

- Electric potential at (0, 3R, 0)isσ R4ϵ0
- Electric potential at (0, 0, 0) is σ R2ϵ0
- Electric field at (0, 3R, 0) is symmetric with x and z axis
- Electric field intensity at (-4R, 0, -4R) is equally inclined with x and z axis

**Q.**A sphere is uniformly charged with charge per unit volume as ρ and radius R. The electrostatic potential energy stored inside the sphere is 4πρ2R5nϵ0. Fill the value of n

**Q.**An elelctric field →E=50^i+75^j NC−1 exist in a certain region of space. Assume that the potential at the origin to be zero. The potential at a point P(1 m, 2 m)will be

- 100 V
- −100 V
- 200 V
- −200 V

**Q.**A particle of mass m and charge q moves at a high speed along the X axis. Initially it is near -infinity and then in a short time moves to positive infinity. Another charge Q is fixed at (0, -d) . As the moving charge passes the stationary charge, the X component of its velocity does not change appreciably but it acquires a small velocity in the y direction. Determine the angle through which the moving charge is deflected.

**Q.**

A small particle of charge q is displaced from the centre of a uniformly charged solid sphere of radius R and charge Q to an outside point at a distance R from the surface of sphere... Find the word done.

**Q.**

The potential difference between two oppositely charged infinite sheets, with charge density σ and separation D, is proportional to?

1/σ

σ

1/D

- \N

**Q.**One coulomb charge is placed on an insulated stand at the centre of the spherical conductor of radius 1 m this year is given a charge of 1 c the electrostatic force experienced by the charge at the centre will be

**Q.**Two identical charges are placed 3m apar in air experiences a Coulombs force of 9*10 N. The magnitude of charge is

**Q.**87.The surface area of a body is 25 CM square and its surface density of charge is 5 CGS unit what is the total charge on it?

**Q.**Assuming reference point (for calculating electric potential) to be at infinity, mark the correct statement(s)

- Electric potential at the centre of a uniformly charged spherical shell due to its own charge is zero.
- Electric potential at the centre of a uniformly charged sphere due to its own charge is zero.
- Self energy of a dipole is positive.
- If we change the reference point, the potential difference between 2 points will not change.

**Q.**Assuming reference point (for calculating electric potential) to be at infinity, mark the correct statement(s)

- If we change the reference point, the potential difference between 2 points will not change.
- Electric potential at the centre of a uniformly charged spherical shell due to its own charge is zero.
- Electric potential at the centre of a uniformly charged sphere due to its own charge is zero.
- Self energy of a dipole is positive.

**Q.**Two parallel sheets 1 and 2 carry uniform charge densities σ1 and σ2 (σ1>σ2) as shown in figure. The electric field in the region marked II is

- −(σ1+σ2)2ε0
- −(σ1σ2)2ε0
- (σ1+σ2)2ε0
- (σ1−σ2)2ε0

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

- σϵ0(a+b−c)
- σϵ0(a−b+c)
- σϵ0(b−a−c)
- None

**Q.**Two equal point charges A and B are R distance apart.a third point charge placed on the perpendicular distance at a distance d from the centre will experience maximum electrostatic force when?

**Q.**Quarter non-conducting disc of radius 4R having uniform surface charge density σ is placed in xz-plane, then which of the following is correct?

- Electric potential at (0, 3R, 0)isσ R4ϵ0
- Electric potential at (0, 0, 0) is σ R2ϵ0
- Electric field at (0, 3R, 0) is symmetric with x and z axis
- Electric field intensity at (-4R, 0, -4R) is equally inclined with x and z axis

**Q.**The electric potential due to a uniform disc of surface charge density 0.5C/m2 and radius 3 cm, at a point 4 cm from the centre on its perpendicular axis is

**Q.**Calculate the electric potential at point A where x = - d.

**Q.**Two concentric thin conducting spherical shells having radius R and 2R are shown in figure. A charge +Q is given to shell A and −4Q is given to shell B. Now shell A and B are connected by a thin conducting wire, then the final charge on the sphere B will be :

- −3Q2
- −4Q
- −3Q
- 2Q

**Q.**A hollow charged conductor has a tiny hole cut into its surface .Show that the electric field in the hole is ( σ/Eo)n where n is the unit vector in the outward normal direction and σ is the surface charge density near the hole.