Test: Electrostatics- 2 - Electrical Engineering (EE) MCQ

Which one of the following is the Poisson's equation for a linear and isotropic but in homogeneous medium?

Two concentric spherical shells carry equal and opposite uniformly distributed charges over their surfaces as shown in figure below.

Electric field on the surface of inner shell will be

Electric field intensity due to line charge of infinite length is

Consider the following statements associated with equipotential surface:
1. Potential is same everywhere.
2. No current flows on this surface.
3. Work done in moving charge from one point to another is zero.
4. Potential is different everywhere.
Which of the above statements is/are not correct?

A finite sheet 0 ≤ x ≤ 1, 0 ≤ 1 on the z = 0 plane has a charge density
ρ_s = xy (x² + y² + 25)^3/2 nC/m².
The total charge on the sheet would be

Assertion (A): Gauss’s law is an alternative statement of Coulomb’s law.
Reason (R): Proper application of the divergence theorem to Coulomb’s law results in Gauss’s law.

If the potential V = 10/r² sinθcosϕ then the work done in moving a 10 μC charge from point A(1, 30°, 120°) to B(4, 90°, 60°) would be equal to

A wire of diameter 1 mm and conductivity 5 x 10⁷S/m has 10²⁹ free electrons /m³ when an electric field of 10 mV/m is applied.
The current density and the drift velocity of the electrons will be respectively given by (take charge on an electrons e = -1.6 x 10^-19 C) 

Three point charges -1 nC, 4 nC and 3 nC are located at (0, 0, 0) , (0,0,1) and (1,0,0,) respectively. To total energy contained in the system would be

The equivalent capacitance between the terminals A and B for the capacitor shown below would be (the area occupied by each dielectric is 30 cm²)

The cylindrical coordinates equation
 
is called

Image theory is applicable to problems involving

Match List-I with List-ll and select the correct answer using the codes given below the lists:
List-I
A. Joule’s law
B. Ohm’s law
C. Solenoidal current
D. Continuity equation

Codes:
     A B C D
(a) 4 2 3 1
(b) 3 1 2 4
(c) 3 1 4 2
(d) 4 3 1 2

Assertion (A): An electric field produces no migration of charge in a dieiectric.
Reason (R): The permittivity of a dielectric is always less than the permittivity of vaccum.

The potential field at any point in space containing a dielectric material of relative permittivity 3 is given by V = (5x²y + 3yz² + 6xz) Volts, where x, y, z are in meters. The magnitude of volume charge density at point (1,2, 3) will be given by

Ifare the vector potential and current density vectors associated with a coil, then has the unit of

In the infinite plane, y = 6 m, there exists a uniform surface charge density of (1/600π) μC/m² . The associated electric field strength is