STUPIDSID
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/m2. 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 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 VQ and lower plate is grounded. Determine:
i) Potential distribution
ii) The electric field intensity
iii) Capacitance of parallel plate capacitor.
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 P1(5,4,1 ) - P2(5,6,1) - P3(0,6,1) - P4(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 μr=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, 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-?11=9 and μr=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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