Explain the difference between vector and vector field with example.
[3 marks]Write the various applications of Dot Product and Vector Product.
[4 marks]What is electric field intensity? Write the expression of electric filed intensity due to infinite line charge and explain its significance. Q .2 (a ) Transform the vector A = 20 a into spherical coordinate system at point P (4, 1100, z 1200)
[3 marks]Derive mathematical equation of electric field intensity due to a continuous volume charge distribution and explain the dependency of field on various parameters of the field.
[4 marks]Find the volume charge density that is associated with D= ρz2 sin2φ a + ρz2 sinφ cosφ a ρ2z sin2φ a C/m2 ρ φ + z
[7 marks]Given the field D = 6ρsin(φ/2) a + 15ρcos(φ/2) a c/m2, evaluate both sides of the ρ φ divergence theorem for the region defined ρ = 2, 0<φ<1800, 0<z<5.
[7 marks]What is the use of coordinate system? Write the expressions of unit surfaces and unit volume of cylindrical coordinate system.
[3 marks]State and explain divergence.
[4 marks]Find Eat P(1,5,2) m in free space if a point charge of 3 µC is located at (0,0,1), the uniform line charge density is 90 nC/m along x-axis and uniform sheet of charge density 50 nC/m2 over the plane z = -1.
[7 marks]State and explain Gauss’s Law in brief.
[3 marks]Explain the potential gradient and the conservative field.
[4 marks]Given the potential field in cylindrical coordinate V = 500 φ +25 V. Calculate the value at P (5, 300, 1) in air (i) E (ii) Dand (iii) ρ v
[7 marks]Write and explain Lorentz Force equation.
[3 marks]Explain the reflection of uniform plane wave at normal incidence.
[4 marks]Afilamentary current of 20A is directed in from infinity to the origin on the positive x axis, and then back out to infinity along the positive y axis. Use the Biot-Savart law to find Hat P (0,0,1)
[7 marks]Compare magnetic scalar and vector potential.
[3 marks]Explain the curl.
[4 marks]Asurface current density, K = 10 a A/m, flows in the y = 0 plane throughout the x region, -5<z<5, -∞<z<∞, Find Hat P (0,10,0) in free space.
[7 marks]Write and explain the Maxwell’s equations in point form.
[3 marks]Explain double stub lines impedance matching method of transmission line.
[4 marks]Write short note on electromagnetic waves in perfect dielectric.
[7 marks]Explain skin effect.
[3 marks]Define and explain wave polarizations.
[4 marks]What are the applications of transmission line? Write the equations of transmission lines and their solutions in phasor form.2
[7 marks]