STUPIDSID
Solve any one question fromQ.1(a,b) and Q.2(a,b)
1(a)
Obatin the expression for E and D due to infinite line charge ρ1 C/m using Gauss's law.
6 M
1(b)
A current distribution gives rise to vector magnetic potential \(\bar{A}= x^2y\hat{a}_x+y^2\hat{a}y-4xyz\hat{a}_z Wb|
m. \)/ Calculate B at (1, 2-5).
4 M
2(a)
Find the energy stored in free space for the given 2 < r < 3mm, 0<θ90°, 0<φ<90°, given the potential field \[V=\frac{200}{r}V.\]
6 M
2(b)
Derive Poisson's equation \(\nabla^2 V=-\frac{\rho _v}{\varepsilon } \)/ from Gauss's law. Explain its physical significance.
4 M
Solve any one question fromQ.3(a,b) and Q.4(a,b)
3(a)
Obtain the H (magnetic field intensity) due to a finite long straight conductor carrying current I at any point P using Biot Savart's law.
6 M
3(b)
Two point charge Q1=3nC and Q2=-2nC are placed at (0,0,0) and (0,0-1) respectively.Assuming zero potential at infinity, find the potential at (0,1,0).
4 M
4(a)
Derive an expression for the point form Ampere's circuital law, \[\nabla\times \bar{H}=\bar{J}\]
6 M
4(b)
If \( \bar{J}=\frac{100}{\rho ^2}\hat{a}_p\ A/m^2,\)/ find the total current I passing through surface defined by ρ=2,0
4 M
Solve any one question fromQ.5(a,b) and Q.6(a,b)
5(a)
Region 1 described by 3x+4y≥10, is free space, where as region 2 described by 3x+4y≤10, is a magnetic material for which μ=μ0. Assuming that the boundary between the material and free space is current free, find \[\bar{B}_2\ \text{if}\ \bar{B}_1=0.1\hat{a}_x+0.4\hat{a}_y+0.2\hat{a}_z Wb|m^2\]
8 M
5(b)
Explain the concept of magnetization and permeability.
8 M
6(a)
Derive an expression for energy in magnetostatic field.
8 M
6(b)
The point charge Q=18nC has velocity of 5×106m/s in the direction \(\hat{a}_v=0.60\hat{a}_x+0.75\hat{a}_y+0.30\hat{a}_z. \)/ Calculate the magnitude of force exerted on charge by the field.
i) \(\bar{B}=-3\hat{a}_x+4\hat{a}_y+6\hat{a}_zmT; \)/
ii) \( \bar{E}=-3\hat{a}_x+4\hat{a}_y+6\hat{a}_z KV|m;\)/
iii) B and E acting together
i) \(\bar{B}=-3\hat{a}_x+4\hat{a}_y+6\hat{a}_zmT; \)/
ii) \( \bar{E}=-3\hat{a}_x+4\hat{a}_y+6\hat{a}_z KV|m;\)/
iii) B and E acting together
8 M
Solve any one question fromQ.7(a,b) and Q.8(a,b)
7(a)
State Lenz's law. Using Faraday's law, derive and expression for transformer emf.
8 M
7(b)
Find the amplitude of the displacement current density in a metalic conductor at \( 60Hz\ \text{if}\ \varepsilon =\varepsilon _0,\mu =\mu _0,\sigma =5.8\times 10^{-7} \)/. S/m and \[\bar{J}= \sin \left ( 377t-117.1z \right )\hat{a}_x MA|m^2\]
8 M
8(a)
Write Maxwell's equation in point form for static electromagnetic fields and time varying fields.
8 M
8(b)
Explain motional electromotive force.
8 M
Solve any one question fromQ.9(a,b) and Q.10(a,b)
9(a)
What is poynting vector? What is its significance? Derive the expression of Poynting vector?
10 M
9(b)
Define uniform plane wave. Explain the significance of propagation constant and attenuation constant with respect to uniform plane wave.
8 M
10(a)
State and explain Maxwell's equation in phasor form for time harmonic electromagnetic fields in a linear, isotropic and homogenous medium.
10 M
10(b)
Write the wave equations in phasor for for conductor. Explain skin effect.
8 M
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