Principles of Electromagnetics [18EC51]
Question Bank
UNIT 1
Sl.
Question
No
1 State and prove Gauss Law as applied to Electric Field.
Define Electric Field Intensity and obtain an expression for Electric field Intensity
2
due to circular disc.
Define Electric Field Intensity and obtain an expression for Electric field Intensity
3
due to infinitely long conductor
4 Define coulomb's law and derive the expression for Force in vector form.
Four point charges each of 10µC are placed in free space at points (1,0,0),
5 (-1,0,0), (0,1,0) and (0,-1,0) m respectively. Determine the force on a point charge
of 30µC located at point (0,0,1) m
Find E at P(1,5,2) m in free space if a point charge of 6µC is located at (0,0,1), the
6 uniform line charge density is 180nC/m along x axis and uniform sheet charge of
charge with 25nC2/m over the plane z=1.
Given that D=5r2/4 ar C/m2. Evaluate both sides of divergence theorem for the
7
volume enclosed by r=4m and θ=π/4
Consider a spherical shell of charge density ρs C/m2. Using Gauss Law derive the
8
expression for D in all regions.
Starting from Gauss Law as applied to differential volume element, derive the
9
concept of divergence.
If D=12x2 ax -3z3 ay – 9yz2 az C/m3 in free space, specify the point within the cube 1
10 ≤ x,y,z ≤ 2 at which the following quantity is maximum and give that maximum
value. a) D b) ρv
Question Bank
UNIT 1
Sl.
Question
No
1 State and prove Gauss Law as applied to Electric Field.
Define Electric Field Intensity and obtain an expression for Electric field Intensity
2
due to circular disc.
Define Electric Field Intensity and obtain an expression for Electric field Intensity
3
due to infinitely long conductor
4 Define coulomb's law and derive the expression for Force in vector form.
Four point charges each of 10µC are placed in free space at points (1,0,0),
5 (-1,0,0), (0,1,0) and (0,-1,0) m respectively. Determine the force on a point charge
of 30µC located at point (0,0,1) m
Find E at P(1,5,2) m in free space if a point charge of 6µC is located at (0,0,1), the
6 uniform line charge density is 180nC/m along x axis and uniform sheet charge of
charge with 25nC2/m over the plane z=1.
Given that D=5r2/4 ar C/m2. Evaluate both sides of divergence theorem for the
7
volume enclosed by r=4m and θ=π/4
Consider a spherical shell of charge density ρs C/m2. Using Gauss Law derive the
8
expression for D in all regions.
Starting from Gauss Law as applied to differential volume element, derive the
9
concept of divergence.
If D=12x2 ax -3z3 ay – 9yz2 az C/m3 in free space, specify the point within the cube 1
10 ≤ x,y,z ≤ 2 at which the following quantity is maximum and give that maximum
value. a) D b) ρv
