Potential at a Point Due to a Dipole

Q. Electric field at centre O of semicircle of radius a having linear charge density lambda is given by

Q. 29.What is the Electric Potential inside of a Uniformly Charged Solid Sphere?

Q.

Two conducting sphere of radii r₁ and r₂ are equally charged then the ratio of their potential is

Q. Let P(r)=(Q*r)/R4 be the charge density distribution for solid sphere of radius R & total charge Q. for a point p, inside a sphere at a distance r1from centre of sphere, the magnitude of electric field is?

Q. Electric field atcentre of uniformly charged ring is zero what is the electric field at center of half if charge on it be Q and radius be R

Q. a disk of radius a/4 having a uniformly distributed charge 6C is placed in the x-y plane with its centre at(-a/2, 0, 0).A rod of lenght a carring a uniformly distributed charge 8C is placed on the x axis from x=a/4 to x=5a/4.Two point charges -7C and 3C are placed at (a/4, -a/4, 0) and (-3a/4, 3a/4, 0) respectively.Consider a cubical surface formed by six surfaces x=\pm a/2, y=\pm a/2, z=\pm a/2.The electric flux through this cubical surface i

Q. A small tunnel is created in an isolated sphere of radius r having charge Q uniformly distributed in its volume. A point charge-q having mass m is projected from the centre of the sphere so that it escapes from the electric field. the minimum speed of the particle

Q. A charge $Q$ is placed just outside a closed hemisphere of radius $r$ as shown in the figure. Find the total flux associated with the hemisphere.

1. Zero
2. $\frac{Q}{{\epsilon }_0}$
3. $\frac{Q}{2{\epsilon }_0}$
4. None of the above

Q. 100) A point charge is kept at the centre of a metallic insulatedspherical shell. Then(1) Electric field outside the sphere is zero(2) Electric field inside the sphere is zero(3) Net induced charge on the sphere is zero(4) Electric potential inside the sphere is zero

Q. A point charge $+Q$ is placed just outside an imaginary hemispherical surface of radius $R$ as shown in the figure. The electric flux passing through the curved surface of the hemisphere is
(Angle subtended by the diameter at position of charge is $2\theta$)

1. $\frac{Q}{2{ϵ}_0}(1-\frac{1}{\sqrt{2}})$
2. $\frac{-Q}{2{ϵ}_0}(1-\frac{1}{\sqrt{2}})$
3. $\frac{Q}{{ϵ}_0}(1-\frac{1}{\sqrt{2}})$
4. $-\frac{Q}{{ϵ}_0}(1-\frac{1}{\sqrt{2}})$

Q. 16.The electric potential in volts due to an electric dipole of dipole moment 2108 C-m at a distance of 3m on a line making an angle of 60^° with the axis of dipole is

Q.

The electric flux due to a dipole is zero.But, the field due to the dipole is not zero.How?

Q. A point charge q is placed on the top of a cone of semi vertex angle θ.find the electric flux threw the base of cone

Q. Capacitance : There are two concentric spheres, of which inner(radius a) is earthed and outer(radius b) is given a charge Q. What is the capacitance of the system?

Q. Which of the following is true for the figure showing electric lines of force? ($E$ is Electrical field and $V$ is potential)

1. $E_A>E_B$
2. $E_A<E_B$
3. $V_A>V_B$
4. $V_A<V_B$

Q. Two point charges q and -2qare fixed at a dis†an ce 3d from each other. Radius of the sphere of points in space where potential is zero is (1) d (2) 2d (3) 3d (4) 4d

Q. a circular ring of radius r is placed in xy plane with its centre at the origin, if the linear charge density is lambda=lamda*coso* where 0* is the angle which the line joining any point of circumference and centre makes with +x axis, then the direction of E at centre of ring is?

Q. The electric potential due to uniformly charged sphere of radius R, having volume charge density ρ having spherical cavity of radius R/2 as shown in figure at point P is

Q. A circular ring of radius $r$ made of a non- conducting material is placed with its axis parallel to a uniform electric field. The ring is rotated about a diameter through ${180}^{\circ }$. The flux of electric field,

1. increases
2. decreases
3. does not change
4. is zero

Q. A point charge $+q$ is placed on the axis of a closed cylinder of radius $R$ and height $25R/12$ as shown. If electric flux coming out from the curved surface of the cylinder is $xq/10{ϵ}_o$, then calculate $x$.

Q. The potential difference between center and the surface of sphere of radius R and having uniform volume charge density r^° within it will be

Q. Electric potential in space is given by, V-9(x -y), (where, x and y are cartesian Co-ordinates). The electric field vector in appropriateunits is(1)-27x2 i +27 угј(8) 27x\ast yi +27xy?1(2)27 xi +27 yi(4)-27xyi +27xyj

Q.

Which of the following is not true?

1. For a point charge, electrostatic potential varies as 1/r

2. For a dipole, the potential depends on the magnitude of the position vector and dipole moment vector

3. The electric dipole potential varies as 1/r at a large distance

4. For a point charge, the electrostatic field varies as 1/r².

Q. `9.Two fixed solid spheres of charges Q and KQ are separated by a distance 6R. A charge -q is to be projectedalong the line joining their centres so that it can reach the surface of other solid sphere of charge KQ.QKQ-9 mVmin2R6R(1) If k = 4 find minimum velocity to be given.(ii) If we do not want to give any velocity what should be the minimum value of K?`

Q.

An electric dipole has a fixed dipole moment $p$, which makes angle $\theta$ with respect to the x-axis. When subjected to an electric field $E_1=E_i$, it experiences a torque $T_1=\tau k$. When subjected to another electric field $E_2=\sqrt{3}{E}_{1}j$ it experiences a torque $T_2=-T_1$ .The angle $\theta$ is:

1. ${30}^{\circ }$

2. ${45}^{\circ }$

3. ${60}^{\circ }$

4. ${90}^{\circ }$

Q. A short bar magnet of magnetic moment $0.4J{T}^{-1}$ is placed in a uniform magnetic field of 0.16 $T$. The magnet is in stable equilibrium, when the potential energy is

1. 0.064 $J$
2. -0.064 $J$
3. zero
4. 0.082 $J$

Q. 71.Consider a system composed of two metallic spheres of radii r1 and r2 connected by a thin wire and switch S as shown in the figure. Initially S is in open position, and the spheres carry charges q1 and q2 respectively.If the switch is closed , the potential of the system id

Q. Prove that a closed equipotential surface with no charge with in itself must enclose an equipotential volume?

Q. 1.The potential difference between center and the surface of sphere of radius R and having uniform volume charge density r^° within it will be

Q. 139. A short dipole having dipole moment p is placed in front of an uncharged solid conducting sphere as shown. Potential and intensity at: 1) surface 2) inside the sphere due to dipole is?