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EC501Wave Propagation and Radiation
Assignment 1
1.
Given a point
P
(2,6,3) and vector
A
= y
a
x
+ (x+z)
a
y
. Evaluate
A
at
P
in cylindrical & spherical systems.
2.
Given the vector field at point
(1,π/3,0) is
H
= ρz cosφ
a
ρ
+
sinφ/2
a
φ
+
a
z
.
Calculate:
a)
H
a
x
b)
H
a
θ
c)
The vector component of
H
normal to surface ρ = 1.
d)
The scalar component of
H
tangential to the plane
z = 0.
3.
A point charge
Q
1
= 10μC
is located at
P
1
(1,2,3)
in free space, while charge
Q
2
= 
5 μC is at
P
2
(1,2,10). (a) Find
the vector force exerted on
Q
2
by
Q
1
.
(b) Find the coordinates of
P
3
at which a point charge
Q
3
experiences no force.
4.
Four point charges each 10μC, are plac
ed in free space at points (5,0,0) , (5,0,0) ,(0,5,0) and (0,5,0)m respectively.
Determine the force on a point charge of 100μC located at point (0,0,5)m.
5.
Four 3pC charges are at the corners of a 1m square. The two charges on the left side of the square are positive.
The two charges on the right side are negative. Find the field
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 Spring '10
 Sial

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