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Quiz1

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EE380: Electromagnetic Theory
Department of Electrical Engineering
Quiz 1
Semester: Summer 2019
Date: 17.07.2019
Time: 11:00 a.m.
Max. Marks:
100
Duration: 12 hrs
Q.1 Tabularize the physical quantities, their symbols and their units, we have learnt so far.
Also list down any relationships between them, if exists.
(10)
Q.2 Argue, by considering different cases and supporting diagrams that:
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• the point, where E = 0, lies between two unequal positive charges (q1 = 1µC at (0,0)
and q2 = 2µC at (1,2)) and it is collinear with them.
(10)
• the forces of four equal negative charges placed at the vertices of a square, are equal,
along the diagonal of the square and away from its center.
(10)
Q.3 Given that J = cos( π2 x)e(−y−z) x̂ + ln(|y|)e(−x−z) ŷ + 10|z|ẑ A/m2 ; find the current coming
out of the cube |x| ≤ 2, |y| ≤ 2, |z| ≤ 2. Sketch the given volume.
(10)
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−z
Q.4 Given the electric flux density D = sin( 23 φ) e r r̂ + cos( 23 φ)e(−z) φ̂ + 10zẑ C/m2 ; how much
charge is enclosed in the volume 2 ≤ r ≤ 3, π/6 ≤ φ ≤ π/3, −1 ≤ z ≤ 2. Sketch the given
volume.
(10)
Q.5 Find the divergence and curl of the field given in Q.4.
(10+10)
e−jkr
e−jkr
e−jkr
r̂ + 5(sin θ) 2 θ̂ + 7 2 φ̂ (10)
r
r
r
Q.7 (a) Find the Electric Field E at (0,1,2) due to uniform charge distribution ρl on x = 5,
y = 3, point charge q = 1µC at (4,5,6) and infinite line charge 2µC/m at x = 5, z = 3.
(10)
Q.8 Two charges q1 = 2µC and q2 = 1µC are placed at (0,0,0) and (2,5,0), respectively. A
third charge q3 = 1µC is placed such that it experiences no force. Find the location of q3
and individual forces exerted on q3 by q1 and q2 .
(10)
Q.6 Find the line integral of
R
E.dl of field E = 3(cos θ)
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