1 (a)
State and explain Coulomb's law in vector form.

4 M

1 (b)
Two point charges 20 nC and -20 nC are situated at (1, 0, 0)m and (0, 1, 0)m in free space. Determine electric field intensity at (0, 0, 1)m.

5 M

1 (c)
A charge is uniformly distributed over a spherical over a spherical surface of radius 'a'. Determine electric field intensity everywhere in space. Use Gauss law.

6 M

1 (d)
State and prove divergence theorem.

5 M

2 (a)
Determine the potential difference between two points due to a point charges 'q' at the origin.

4 M

2 (b)
Derive point form of continuity equation.

5 M

2 (c)
A metallic sphere of sphere of radius 10 cm has a surface charge density of 10 nC/m

^{2}. Calculate electric energy stored in the system.
6 M

2 (d)
The plane Z=0 marks the boundary between free space and a dielectric medium with dielectric constant of 40. The \( \widehat{E}) field next to the interface in free space is \[\widehat{E}=13\widehat{x}+ 40\widehat{Y}+ 50 \widehat{Z} \ V/m. \] Determine \( \widehat{E}) on the other side of the interface.

5 M

3 (a)
State and prove uniqueness theorem.

10 M

3 (b)
The two metal having an area 'A' and a separation 'd' form a parallel plate capacitor. The upper plate is held at a potential V

i) Potential distribution

ii) The electric field intensity

iii) Capacitance of parallel plate capacitor.

_{Q}and lower plate is grounded. Determine:i) Potential distribution

ii) The electric field intensity

iii) Capacitance of parallel plate capacitor.

10 M

4 (a)
State and explain Ampere's circuital law.

4 M

4 (b)
Explain scalar and vector magnetic potential.

8 M

4 (c)
The magnetic field intensity is given [ widehat{H}=0.1 y^3 widehat{X}+ 0.4 x widehat{Z} A//m. ] Determine current flow through the path P

_{1}(5,4,1 ) - P_{2}(5,6,1) - P_{3}(0,6,1) - P_{4}(0,4,1) and current density J.
8 M

5 (a)
Derive Lorentz's force equation.

5 M

5 (b)
Obtain the expression for reluctance in a series magnetic circuit.

5 M

5 (c)
Derive the magnetic boundary conditions at the interface between two different magnetic materials.

6 M

5 (d)
A ferrite materials is operating in linear mode with B=0.05 T. Assume μ

_{r}=50. Calculate magnetic susceptibility, magnetization and magnetic field intensity.
4 M

6 (a)
List Maxwell's equations in differential and integral forms.

8 M

6 (b)
Write a note on retarded potential.

6 M

6 (c)
A circular conduction loop of radius 40 cm lies in xy plane and has resistance of 200Ω. If the magnetic flux density in the region is given as, \[ \widehat{B}=0.2 \cos 500t \widehat{X} + 0.75 \sin 400 \widehat{Y} + 1.2 \cos 314 t \widehat{Z}T. \] Determine effective value in induced current in the loop.

6 M

7 (a)
Obtain solution of the wave equation for a uniform plane wave (UPW) in free space.

6 M

7 (b)
Discuss uniform plane wave propagation in a good conducting media.

6 M

7 (c)
State and prove Poynting theorem.

8 M

8 (a)
Derive the expression for transmission coefficient and reflection for a uniform plane wave with normal incidence at a plane dielectric boundary.

8 M

8 (b)
Write a note on standing wave ratio (SWR).

7 M

8 (c)
A 50 MHz uniform plane wave having electric field amplitude 10 V/m. The medium is lossless having ?

_{r}-?^{1}_{1}=9 and μ_{r=1. The wave propagates in the xy plane at a 30° angle to the x axis and is linearly polarized along z-axis. Write the phasor expression for the electric field.}
5 M

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