‘The curl of the gradient of potential is zero’-Justify the statement.
[3 marks]Convert vector A = 5a + a + 3a in cylindrical coordinate system. x y z
[4 marks]What is divergence? with help of divergence prove that Del • D = ρ and Find the volume charge density that is associated with v, D = (10xyz2 + 4x)a + 5x2z2a + 10x2yza nC/m2 x y z
[7 marks]Find the a dot a and a dot a y ɸ x θ
[3 marks]For a coaxial cable find the electric field density (D) inside the inner core, in between inner and outer core and outside the cable.
[4 marks]Five identical 15 µC point charges are located at the center and corners of a square defined by -1˂ x, y ˂ 1 and z =0. 1. Find the force on the 10 µC point charge at (0,0,2). 2. Calculate the electric field intensity at (0,0,2).
[7 marks]Given the flux density D = (cosθ/r3) a + (2sinθ/r3) a c/m2, evaluate r θ both sides of the divergence theorem for the region defined by 1˂ r ˂ , 0 ˂ θ ˂ π/2 , 0˂ ɸ˂ π/2
[3 marks]Define scalar, vector and retarded potential.
[3 marks]What is the importance of boundary conditions? Describe the boundary condition between free space and conductor.
[4 marks]Write Maxwell’s equations in integral form and explain physical significance of equations.
[7 marks]Explain Lorentz Force equation.
[3 marks]State and derived the Biot-Savart Law.
[4 marks]Write Maxwell’s equations in point form and explain their physical significance.
[7 marks]Explain Poynting vector.
[3 marks]State and explain Ampere’s circuital law. Find the magnetic field intensity due to long straight conductor using Ampere’s circuital law.
[4 marks]In a certain conducting region H= yz (x2+y2)a – y2 xz a +4 x2y2 a A/m x y z1 1. Determine Jat (5,2,-3) 2. Show that Del dot B = 0
[7 marks]Compare Cartesian and Cylindrical coordinate systems.
[3 marks]What is curl? With help of curl meter explain the physical interpretation of curl and state its applications.
[4 marks]If F = x2ya -2za + (3z2 +xy )a x y z find Del × [Del (Del●F)]
[7 marks]Explain propagation constant and characteristic impedance of transmission line.
[3 marks]Derive the voltage and current equations of transmission line.
[4 marks]Write short note on plane wave propagation in general directions.
[7 marks]Explain VSWR and Reflection coefficient.
[3 marks]Define and explain the following terms:
[4 marks]Hall Effect (ii) Skin Effect
[ marks]Write short note on loss less and distortion less transmission line.2
[7 marks]