Electric Potential MCQ (With Solution) : Test 2 - Class 12 MCQ

The electric field in a certain region is A/x³. Then the potential at a point (x,y, z), assuming the potential at infinity to be zero, is

Find the potential V of an electrostatic field , where a is constant.

Consider a system of three charge q/3,q/3 and -2q/3 placed at points A,B and C, respectively, as shown in figure. Take O to be the circle of radius R and angle CAB = 60^°.

Two equal positive charges are kept at points A and B.The electric potential at the points between A and B (excluding these points) is studied while moving from A to B. The potential

Figure shows three paths along which we can move positively charged sphere A closer to positively charged sphere B which is fixed in a plane. if W₁, W₂ and W₃ are the work done along the three respective paths, then

The work done in moving an electron of charge e and mass m from A to B along the circular path (shown in figure) in the vertical plane in the field of charge Q is

Four similar point charges q are located at the vertices of a tetrahedron with an edge a. The energy of the interaction of charges is :

In the electric field of a point charge q, a certain charge is carried from point A to B, C, D and E. Then the work done

Four equal charges Q are placed at the four corners of a square of each side is a. Work done in removing a charge -Q from its centre of infinity is

Ten electrons are equally spaced and fixed around a circle of radius R. Relative to V = 0 at infinity, the electrostatic potential V and the electric field E at the centre C are

The displacement of a charge Q in the electric field . The work done is

Three charges Q + q and +q are placed at the vertices of a right-angled isosceles triangle as shown. The net electrostatic energy of the configuration is zero if Q is equal to

Electric potential at any point is V = - 5x +3y + √15z, then the magnitude of the electric field is

Equipotential surfaces associated with an electric field which is increasing in magnitude along the x-direction are.

Figure shown three points A,B and C in a region of uniform electric field The line AB is perpendicular and BC is parallel to the field lines. Then which of the following holds good. Where V_A, V_B and V_C represent the electric potential at points A,B and C respectively

A charge +q is fixed at each of the points x = x₀, x = 3x₀, x = 5x₀....... infinite, on the x-axis and a charge -q is fixed at each of the points x = 2x₀, x = 4x₀, x = 6x₀..... infinite. Here x₀ is a positive constant. Take the electric potential at a point due to a charge Q at a distance r from it to be . Then, the potential at the origin due to the above system of charges is

A non-conducting ring of radius 0.5 m carries a total charge of 1.11×10^-10C distributed non-uniformly on its circumference producing an electric field   everywhere in space. The value of the line integral   being centre of the ring) in volts is  

A charged particle q is shot towards another charged particle Q which is fixed, with a speed v. It approaches Q upto a closest distance r and then returns. if q were given a speed 2v, the closest distances of approach would be

The electric potential at a point distant r from an electric dipole is proportional to

In the electric field of a point charge q shown, a charge is carried from A to B and from A to C. Compare the work done

The potential at a point x (measured in µm) due to some charges situated on the X-axis is given by 
The electric field E at x = 4 µm is given by :

The electric potential at a point (x,y,z) is given by tential at a point (x,y,z) is given by V = x² y - xz³ + 4
The electric field  at that point is :