STUPIDSID
1(a)
State vector form of Coulomb's law of force between two point charges and indicate the units of the quantities in the equation.
6 M
1(b)
State and prove Gauss law for point charge.
6 M
1(c)
Two point charges,Q1 and Q2 are located at (1,2,0)m and (2,0,0)m respectively.Find the relation between the charges Q1 and Q2 such that the total force on a unit positive charge at (-1,1,0) have i) no x-component.
8 M
2(a)
Define potential difference and absolute potential.
4 M
2(b)
Establish the relation E=△∨.E=△∨.
6 M
2(c)
Electrical potential at an arbitrary point free - space is given as :
V−(x+1)2+(y+2)2+(z−3)2.At P(2,1,0) findi)v ii)E→ iii)E→ iv)D→ v)D→ vi)Pv.
V−(x+1)2+(y+2)2+(z−3)2.At P(2,1,0) findi)v ii)E→ iii)E→ iv)D→ v)D→ vi)Pv.
10 M
3(a)
Derive the expression for Poisson's equation.
4 M
3(b)
Write the expression for Laplace's equation in cylindrical and spherical coordinates.
4 M
3(c)
State and prove uniqueness theorem.
6 M
3(d)
Given the potential fieldV=x2yz−ky3z volts :
i) Find k if potential field satisfies Laplace's equation
ii) findE→at (1,2,3).
i) Find k if potential field satisfies Laplace's equation
ii) findE→at (1,2,3).
6 M
4(a)
Starting form Biot-Savort's law, derive the expression for the magnetic field intensity at a point due to finite length current carrying conductor.
8 M
4(b)
Verify stoke's theorem for the field →H_2rcosΘa r∨+raΘ∧ for the path shown r=0 to 1; 0 to 900
8 M
4(c)
Explain scalar and vector magnetic potenial.
4 M
5(a)
Derive expression for magnetic force on :
i) Moving point charge
Differential current element.
i) Moving point charge
Differential current element.
10 M
5(b)
A current elementI1dI2−10−4 ^az (AM) is located atP1(-2,0,0).Both are in free space :
Find force exerted on I2d12−10−6[^ax−2^ay+3^az](Am) is located at P2(-2,0,0). Both are in free space:
i) Find force exerted on I2dl2byI2dI1
ii) Find force exerted onI1dl1byI2dI2.
Find force exerted on I2d12−10−6[^ax−2^ay+3^az](Am) is located at P2(-2,0,0). Both are in free space:
i) Find force exerted on I2dl2byI2dI1
ii) Find force exerted onI1dl1byI2dI2.
10 M
6(a)
List Maxwell's equations in point form and lntergral form.
8 M
6(b)
A homogeneous material has ?=2×1ϵ=2×106F/Mand μ=1.25×105 andσ=0..Electric field intensity →E=400 cos(109t−kz)aˆx V/m. If all the field vary sinsoidally,find\[\overrightarrow{D},\overrightarrow{B},\overrightarrow{H} and k using Maxwell's equations.
12 M
7(b)
State and explain Poynting theorem.
10 M
7(c)
Starting form Maxwell's equations derive wave equation in E and H for a uniform plane wave travelling in free space.
10 M
8(a)
Write short notes on :
i) SWR and reflection coefficient
ii) Skin depth.
i) SWR and reflection coefficient
ii) Skin depth.
10 M
8(b)
A Ghz plane wave in free space has electric field intensity 15 V/m. Find:
i) Velocity of propagation
ii) Wavelength
iii) Characteristic impedance of the medium
iv) Amplitude of magnetic field intensity
v) Propagation constantβ.
i) Velocity of propagation
ii) Wavelength
iii) Characteristic impedance of the medium
iv) Amplitude of magnetic field intensity
v) Propagation constantβ.
10 M
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