STUPIDSID
1 (a)
Explain cylindrical coordinate system in brief. Also write the equations of differential length, differential surfaces and differential volume elements.
7 M
1 (b)
The given points are A(x=-1, y=2, z=3), B(p=3, ϕ=60°, z=6) and C(x=2, y=2, z=-1). Find (i) Cylindrical co-ordinates of A (ii) Cartesian co-ordinates of B and (iii) Spherical co-ordinates of C.
7 M
2 (a)
An infinite uniform line charge having line charge density of PL=30 μC/m placed on the z-axis. Find the total electric field intensity at (3, 4, 5)m.
7 M
Answer any one question from Q2 (b) & Q2 (c)
2 (b)
Derive the equation of total electric field intensity in vector form due to infinite uniform sheet charge distribution in free space.
7 M
2 (c)
A positively charged circular ring with PL=10 nC/m having radius of 5m lies on z=0 plane with its centre at origin. Find E at point (0, 0, 5)m ad also find the value of a point charge Q which will produce the same E at a point (0, 0, 5)m.
7 M
Answer any two question from Q3 (a), (b) & Q3 (c), (d)
3 (a)
State and explain the Gauss's law.
7 M
3 (b)
Derive the Maxwell's first equation applied to Electrostatic by using equations of divergence and Gauss's law of electric flux density D.
7 M
3 (c)
Define the potential gradient. Derive relationship between potential and electric field intensity.
7 M
3 (d)
Derive equation of potential difference VAB within the electric field produced by a point charge Q.
7 M
Answer any two question from Q4 (a), (b) & Q4 (c), (b)
4 (a)
Write a short note on continuity equation.
7 M
4 (b)
Explain boundary conditions between two perfect Dielectric materials.
7 M
4 (c)
Derive Poisson's and Laplace's equations.
7 M
4 (d)
State Maxwell's equations in point form and explain physical significance of the equations.
7 M
Answer any two question from Q5(a), (b) & Q5 (c), (d)
5 (a)
State and Explain Ampere circuital law.
7 M
5 (b)
A point charge, Q=-10 μC, is moving with a velocity of 6×106 m/s in a direction specified by the unit vector av =0.5ax-0.6ay + 0.2az. Find the magnitude of the vector force exerted on that moving charge by the field: (a) B=2ax-3ay+5az T; (b) B=2 ax-3ay+5az kV/m; (c) B and E acting together.
7 M
5 (c)
Explain loss less propagation of sinusoidal voltage in transmission line.
7 M
5 (d)
Write a short note on source of EMI.
7 M
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