Test: Electrostatics - Electronics and Communication Engineering (ECE) MCQ

E = 4u_x -3 u_y + 5u_z in the neighborhood of point P(6, 2,  -3). The incremental work done in moving 5 C charge a distance of 2 m in the direction u_x + u_y + u_z is

If E = 100u_p  V /m , the incremental amount of work done in moving a 60 μC charge a distance of 2 mm from P(1, 2, 3) toward Q(2, 1, 4) is

A 10 C charge is moved from the origin to P(3, 1, -1) in the field E = 2xu_x - 3y² u_y + 4u_z V/m along the straight line path x = -3y, y = x + 2z. The amount of energy required is

A uniform surface charge density of 30 nC /m² is present on the spherical surface r = 6 mm in free space. The V_AB between A (r = 2 cm, θ = 35⁰ , Ø = 55⁰ ) and B (r = 3 cm, θ = 40⁰ , Ø = 90⁰ )

A point charge is located at the origin in free space. The work done in carrying a charge 10 C from point A (r = 4 cm, θ = π/6 , Ø  = π/4) to B (r = 4 cm, θ = π/3 , Ø  = π/6) is 

Let a uniform surface charge density of 5 nC/m² be present at the z = 0 plane, a uniform line charge density of 8 nC/m be located at x = 0, z = 4 and a point charge of 2 μC be present at P(2, 0, 0). If V = 0 at A(0, 0, 5), the V at B(1, 2, 3) is

A non uniform linear charge density, ρ_L = 6/ (z² + 1) nC/m lies along the z axis. The potential at P(ρ = 1, 0, 0) in free space is (V_∞ = 0 )

The annular surface, 1 cm  < ρ < 3 cm carries the nonuniform surface charge density ρ_s = 5ρ nC/m². The V at P(0, 0, 2 cm) is

If V = 2xy²z³ + 3ln(x² + 2y² + 3z² ) in free space the magnitude of electric field E at P (3, 2, -1) is

It is known that the potential is given by V = 70 r^0.6 V. The volume charge density at r = 0.6 m is

The potential field V = 80r² cosθ V. The volume charge density at point P(2.5, θ = 30⁰ , Ø = 60⁰ ) in free space is

Within the cylinder ρ = 2, 0 < z  <1 the potential is given by V = 100 + 50ρ +150ρ sinØ V. The charge lies within the cylinder is

A dipole having

is located at the origin in free space and aligned so that its moment is in the u_z direction. The E at point (r = 1, 45⁰  ,Ø = 0) is

A dipole located at the origin in free space has a moment p = 2 x 10^-9 u_z c.m. The points at which |E|_θ  = 1 mV m on line y = z , x = 0 are

A dipole having a moment p = 3u_x - 5u_y + 10u_z  nC.m is located at P(1, 2,-4) in free space. The V at Q (2, 3, 4) is

A potential field in free space is expressed as V =40/xyz . The total energy stored within the cube 1 < x, y, z < 2 is

Four 1.2 nC point charge are located in free space at the corners of a square 4 cm on a side. The total potential energy stored is