5 Curl-free elds and electrostatic potential
Mathematically, we can generate a curl-free vector eld E(x, y, z) as
E = (
V V V
,
,
),
x y z
by taking the gradient of any scalar function V (r) = V (x, y, z). The
gradient of V (x, y, z) is dened to be the v
ECE 329
Homework 1
Due: Tuesday, January 26, 2016, 5PM
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ECE 329
Homework 5
Due: Tuesday, February 23, 2016, 5PM
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ECE 329
Homework 4
Due: Tuesday, February 16, 2016, 5PM
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ECE 329
Homework 3
Due: Tuesday, February 9, 2016, 5PM
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ECE 329
1.
Homework 7 Solutions
Due: Tuesday, March 8, 2016, 5PM
(Total 100 pts)
(20pts)
a)
(8pts) Seeing
that this is an RC circuit, the time constant, , is equal to R C . We know that
slab = 1.5air and the slab is of width d and area A. Then, we can nd