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
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 09/13/2010 for the course EE EE501 taught by Professor Sial during the Spring '10 term at YTI Career Institute.
 Spring '10
 Sial

Click to edit the document details