01․ An electric field of 1.92 × 103 N/C is maintained across two plates separated by 0.015 m. Potential difference across plates will be
From, V = E.d
02․ Which of the following statement is incorrect?
E is normal to conductor.
03․ Between a hollow and solid metal sphere, charge reside
Charge always reside outer surface of any object.
04․ The electric flux is given D = (2y2 + z) Ix + 4xy Iy + x Iz C/m2. The volume charge density at point (-1, 0, 3) is
Divergence of D = ρ v
05․ Gradient of scalar field is expressed as
Gradient is operation performed on a saclar function which result in a vector function and it is the maximum rate of increase of the scalar function at a point.
06․ A vector field A = p In is given in Cartesian coordinates. In cylindrical coordinates it will be represented as
07․ A potential field is given by V = 3x2 y – yz. The electric field at P(2, -1, 4) is
E = - divergence v
08․ A sphere of radius with a uniform charge density ρv C/m3 shall have electric flux density at radius “r = a” equal to
By Gauss’s law, Surface integral of (D.ds) = volume integral of ρv dv) Or, D.4π a2 = 4 π a3 ρv/3.
09․ An infinite sheet has a charge density of 150 μ C/m. The flux density in μ C/m 2 is
For infinite sheet, | E | = σ/(2 × εo) | D | = σ/2 = 150/2 = 75 μC/m2.
10․ An infinite non conducting sheet of charge has σ of 10-7 c/m3. Equipotential surface for a potential of 10 volts is.
E = σ/(2 × εo) V = E.x. C = V/E = V × εo/ σ.