Field Theory

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. 

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

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. 

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

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

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.

Explain electromagnetic wave in Good conductor.

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 2x10⁹ rad/sec. Find:

(iv) Amplitude of electric field intensity 

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 2x10⁹ rad/sec. Find:

(iii) Frequency

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 2x10⁹ rad/sec. Find:

(i) Wavelength

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 2x10⁹ rad/sec. Find:

(i) Phase shift constant.

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

Given-in free space. Find 

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

Three point charges Q₁ = -1 , Q₂ = -2  and Q₃ = -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 Q₁ and Q₂. 

Discuss the boundary between two magnetic materials of different permeabilities.

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. 

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.

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

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.

Explain Poisson's and Laplace's equations.

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

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

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. 

Let = (2y²z - 8xy) + (4xyz - 4x) + (2xy -4z) Determine the total charge with in a volume of 10^-14m located at P(1, -2, 3).

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