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EE 1; Homework 2:
DUE APRIL 24
TH
Thursday 5 PM
(THERE WILL BE A COLLECTION BOX IN FRONT OF MY OFFICE ENGR. IV RM# 66127D)
1) For the vector field
ˆ
ˆ
10
3
r
E
re
zz
−
=−
, verify the divergence theorem for the cylindrical region enclosed
by
r =
2,
z = 0
, and
z =
4.
2) The gradient of a scalar function
T
is given by
3
ˆ
z
Tz
e
∇=
If
T =
10 at
z =
0, find
T(z)
.
3) Find the divergence of unit vectors in the three coordinate systems. (Cartesian, Cylindrical and Spherical)
Find the curl of unit vectors in the three coordinate systems. (Cartesian, Cylindrical and Spherical)
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This note was uploaded on 06/18/2008 for the course EE 1 taught by Professor Joshi during the Spring '08 term at UCLA.
 Spring '08
 Joshi

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