20092ee1_1_EE 1 HW 2

# 20092ee1_1_EE 1 HW 2 - EE1 Homework 2 DUE APRIL 23TH...

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EE1; Homework 2: DUE APRIL 23TH THURSDAY 5 PM (THERE IS A COLLECTION BOX NEAR MARIKO WALTON’S CUBICLE IN 66-127 ENGR IV ) (1) Find the divergence of unit vectors in the three co-ordinate systems. (Cartesian, Cylindrical and Spherical) Find the curl of unit vectors in the three co-ordinate systems. (Cartesian, Cylindrical and Spherical) (2) The gradient of a scalar function is given by: 2 ˆ z Vz e ∇= If 20 V = at z = 0, find V ( z ). (3) For the vector field: ˆ ˆ 56 r Er e z z =− verify the divergence theorem for the cylindrical region enclosed by r = 2, z = 0 , and z = 4. (4) Use the appropriate expression for the differential surface area d s to determine the area of each of the following surfaces:

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## This note was uploaded on 06/06/2009 for the course EE EE 1 taught by Professor Ozcan during the Spring '09 term at UCLA.

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20092ee1_1_EE 1 HW 2 - EE1 Homework 2 DUE APRIL 23TH...

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