STUPIDSID
1(a)
State Gauss theorem of electrostatics. List characteristics of Gaussian surface.
5 M
1(b)
Determine electric flux density 'D' in Cartesian coordinates caused at p(6, 8, -10) by i) a point charge of 30 mc at origin ii) infinite line charge with ρr = 40 μc/m ii) A surface charge with ρs = 57.2 μc/m2 on a plane z = -9m.
8 M
1(c)
Evaluate both side of divergence theorem for the region r ≤ a (spherical coordinates) having flux density \( D=\dfrac{5r}{3}a_r\ c/m^2\)
7 M
2(a)
Prove that : E = -∇V
5 M
2(b)
Determine work done in carrying a charge of -2C from (2, 1, -1) to (8, 2, -1) in an electric field E = yax + xay v/m along the path x = 2y2.
7 M
2(c)
Three point charges 3 coul, 4 coul and 5 coul are to be situated at corner of an equilateral triangle of side 5 m. Find energy density at the centre of triangle.
8 M
3(a)
Derive Poisson's and Laplace equation.
6 M
3(b)
A potential field given by v = x2yz + Ay3z volts determine of 'A' such that v satisfies Laplace equation and hence find electric field E at p(2, 1, -1).
6 M
3(c)
A spherical capacitor has a capacitance of 54 pF. It consists of two concentric spheres with inner and outer radii differing by 4 cm. Dielectric in between is air. Determine inner and outer radii.
8 M
4(a)
State and explain Ampere's circuital law.
5 M
4(b)
Determine magnetic flux density 'B' at 'P' for a current loop shown in Fig. Q4(b).
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9 M
4(c)
Clearly distinguish between scalar magnetic potential and vector magnetic potential.
6 M
5(a)
Derive Lorentz force equation for a moving change placed in a combined electric and magnetic field.
6 M
5(b)
A point charge Q = 18 nc moves with a velocity of 5 × 106 m/sec in the direction of 0.06ax + 0.75ay + 0.3az. Determine magnitude of force experienced by the charge when placed in i) electric field E = -3ax + 4ay + 6az kv/m ii) magnetic field E = -3ax + 4ay + 6az mT iii) combined E and B.
8 M
5(c)
An air cored toroid has a cross sectional area of 6 cm2, a mean radius of 15 cm and is wound with 500 turns and carries a current of 4A. Find the magnetic field intensity at the mean radius.
6 M
6(a)
Explain Faraday's ;aws applied to : i) stationary path, changing field ii) steady field, moving circuit.
6 M
6(b)
List Maxwell's equations for both : i) steady and ii) Time varying fields in differential and integral form, also mention the relevant laws they demonstrate.
8 M
6(c)
A straight conductor of length 0.2m, lies on x-axis with one end at origin. The conductor is subjected to a magnetic flux density B = 0.04ay Tesla and the velocity v = 2.5 sin 103 taz m/sec. Determine motional emf induced in the conductor.
6 M
7(a)
Derive wave equation for E in a general medium.
6 M
7(b)
State and explain Poynting theorem.
6 M
7(c)
A lossless dielectric medium has σ = 0, &mur = 1, εr = 1. A electromagnetic wave has field as H = -0.1 cos (ωt - z)ax + 0.5 sin (ωt - z)ay A/m. Find : i) phase constant, ii) angular velocity iii) the wave impedance iv) components of electric field intensity of the wave.
8 M
8(a)
Derive an expression for transmission coefficient and reflection coefficient and relate them.
8 M
8(b)
Define standing wave ratio. Write an expression for it.
4 M
8(c)
Determine the amplitude of reflected and transmitted 'E' and 'H' at the interface between two regions. Characteristics of region 1 are εη = 8, μr1 = 0; &sigma1 = 0 and region 2 is free space. The incident E01 in region 1 is of 1.5 V/m. Assume normal incidence. Also find average power in two regions.
8 M
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