Principles of Electromagnetics [18EC51]
Question Bank
UNIT 1
Sl.
Question
No
Let Q1 charge be 25nC located at A(4,-2,7) and charge Q2 be 60nC at B(-3,4,2).
1
Find E at C(1,2,3)
Derive an expression for E due to circular Disc, assuming point located on the axis of
2
the circle.
3 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),
4 (-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
Given that D=5r2/4 ar C/m2. Evaluate both sides of divergence theorem for the
5
volume enclosed by r=4m and θ=π/4
Starting from Gauss Law as applied to differential volume element, derive the
6
concept of divergence.
UNIT 2
Sl.
Question
No
1 Derive an expression for E due to straight finite and infinite uniformly charged wire.
Two parallel conducting discs are separated by distance 5mm at z=0 and z=5mm. If
2
V=0 at z=0 and V = 100V at z=5mm. Find the charge densities on the discs.
Obtain the conditions for tangential and normal components of electric field Intensity
3
and electric flux density at the Boundary between two dielectric media.
If a point charge of Q=0.4nC is located at point P (2,3,3) then obtain absolute
4 potential of point A(2,2,3). If point B is at (-2,3,3) then obtain the potential difference
between points A and B.
If the potential field V = 3x2 + 3y2 +2z3 volts, find the following at P(-4, 5, 4)
i. V
5
ii. E
iii. D
6 State and prove Uniqueness theorem.
Question Bank
UNIT 1
Sl.
Question
No
Let Q1 charge be 25nC located at A(4,-2,7) and charge Q2 be 60nC at B(-3,4,2).
1
Find E at C(1,2,3)
Derive an expression for E due to circular Disc, assuming point located on the axis of
2
the circle.
3 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),
4 (-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
Given that D=5r2/4 ar C/m2. Evaluate both sides of divergence theorem for the
5
volume enclosed by r=4m and θ=π/4
Starting from Gauss Law as applied to differential volume element, derive the
6
concept of divergence.
UNIT 2
Sl.
Question
No
1 Derive an expression for E due to straight finite and infinite uniformly charged wire.
Two parallel conducting discs are separated by distance 5mm at z=0 and z=5mm. If
2
V=0 at z=0 and V = 100V at z=5mm. Find the charge densities on the discs.
Obtain the conditions for tangential and normal components of electric field Intensity
3
and electric flux density at the Boundary between two dielectric media.
If a point charge of Q=0.4nC is located at point P (2,3,3) then obtain absolute
4 potential of point A(2,2,3). If point B is at (-2,3,3) then obtain the potential difference
between points A and B.
If the potential field V = 3x2 + 3y2 +2z3 volts, find the following at P(-4, 5, 4)
i. V
5
ii. E
iii. D
6 State and prove Uniqueness theorem.
