Solve any four

1(a)
Define , explain and give an example on divergence and curl.

5 M

1(b)
State and derive relationship between electric intensity and -electric potential.

5 M

1(c)
What is Lorentz force equation for a moving charge? Enlist two applications.

5 M

1(d)
'Magnetic field has non-existence of monopole.' Justify the statement.

5 M

1(e)
Classify and explain different types of current densities.

5 M

2(a)
Derive an electric field intensity due to an infinite plane having density ρ

_{s}(C/m^{2}).
10 M

2(b)
Two point charges of equal mass m, charge Q are suspended at a common point by two threads of negligible mass and length 1. Show that at equilibrium the inclination angle a of each thread to the vertical is given by Q

If a is very small, show that \[\alpha=3\sqrt{\dfrac{Q^2}{16\pi\varepsilon mgl^2}}\]

^{2}=16 πε_{0}: mgl^{2}sin^{2}α tan αIf a is very small, show that \[\alpha=3\sqrt{\dfrac{Q^2}{16\pi\varepsilon mgl^2}}\]

10 M

3(a)
A current sheet K =6a

_{x}A/m, lies in the a=0 plane and current filament is located at y=0, z=4m. Determine current and its direction if H at (0, 0, 1.5)m.
10 M

3(b)
Derive Magnetic Field intensity due to finite and infinite wire carrying a current I.

10 M

4(a)
Define Inductance and mutual inductance. Derive inductance of solenoid.

10 M

4(b)
Region I, for which μ

_{r1}=3, is defined for x<0 and region II, x>0 has α_{r2}. Given that H_{1}= 4a_{x}+ 3a_{y}- 6a_{2}(Aim). Find θ_{2}and H_{2}.
10 M

5(a)
Explain Maxwell's equation in the time and frequency domain.

Given H = H

Given H = H

_{m}e^{j(ωt+βz)}a_{x}in free space, find E .
10 M

6(a)
Derive wave equation and explain changes in wave with different media.

10 M

6(b)
Determine the propagation constant g for a material having μ

_{r}=1, ∈_{r}=8 and σ=0.25 pS/m, if the wave frequency is 1.6 Mhz.
10 M

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