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Three point charges Q_{1} = -1 , Q_{2} = -2 and Q_{3} = -3 are placed at the corners of an equilateral triangle of side 1 m. Find the magnitude of the electric field intensity at the point bisecting the joining Q_{1} and Q_{2}.

Derive an expression for the electric field intensity due to infinite line charge.

Let = (2y^{2}z - 8xy) + (4xyz - 4x) + (2xy -4z) Determine the total charge with in a volume of 10^{-14}m located at P(1, -2, 3).

Infinite number of charges each of Qnc are placed along x axis at x = 1, 2, 4, 8..........Find the electric potential and electric field intensity at a point x = 0 due to the all charges.

Find the work done in assembling four equal point charges of 1 c each on x and y axis at 3m and 4m respectively,

Derive the expression for a capacitance of a parallel plate capacitor.

Explain Poisson's and Laplace's equations.

Find at P(3, 1, 2) for the field of two co-axial conducting cylinders V = 50 V at = 2 m and V = 20 V at = 3m.

Using Poisson's equation obtain the expression for the potential in a p-n junction.

An infinite filament on the z-axis carries 20 mA in the direction. Three uniform cylindrical sheets are also present, 400 mA/m at r = 1 cm, - 250 mA/m at r = 2 cm, 400 A/m at r = 3m. Calculate r=0.5, 1.5 and 2.5 cm in cylindrical co-ordinates.

If the vector magnetic potential at a point in a space is given as wb/m, find'the following: (i) (ii) J and show that for the circular path with = 1.

A conductor 4 m long lies along the y-axis with a current of 10.0 A in the direction. Find the force on the conductor if the field in the region is = 0.005 Tesla.

Discuss the boundary between two magnetic materials of different permeabilities.

A solenoid with air core has 2000 tums and a length of 5000 mm. Core radius is 40 mm.Find its inductance.

Find the frequency at which conduction current density and displacement current density are equal in a medium with and

Given-in free space. Find

Explain the concept of retarded potential. Derive the expressions for the same.

The magnetic field intensity of uniform plane wave in air is 20 A/m in â_{y} direction. The wave is propagating in the direction at an angular frequency of 2x10^{9} rad/sec. Find:

(i) Phase shift constant.

(i) Wavelength

(iii) Frequency

(iv) Amplitude of electric field intensity

Explain electromagnetic wave in Good conductor.

The depth of penetration in a certain conducting medium is 0.1 m and the frequency of the electromagnetic wave is 1.0 MHz. Find the conductivity of the conducting medium.

Derive the expression for transmission coefficient and reflection co-efficient.

Define standing wave ratio. What value of S results is reflection coefficient equals

Given = 0.5, - 100 , = 300 . = 100 (V/m). Calculate values for the incident, reflected and transmitted waves. Also show that the average power is conserved.

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