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Introduction to Electrodynamics
· Problem 2.45
Electrostatics — David J. Griffiths
Physics · electric-field-square-sheet
Problem
Find the electric field at a height
z
z
z
above the center of a square sheet (side
a
a
a
) carrying a uniform surface charge
σ
\sigma
σ
. Check your result for the limiting cases
a
→
∞
a \to \infty
a
→
∞
and
z
≫
a
z \gg a
z
≫
a
.
[
A
n
s
w
e
r
:
(
σ
/
2
ϵ
0
)
{
(
4
/
π
)
tan
−
1
1
+
(
a
2
/
2
z
2
)
−
1
}
]
\left[Answer: (\sigma/2\epsilon_0)\left\{(4/\pi)\tan^{-1}\sqrt{1+(a^2/2z^2)}-1\right\}\right]
[
A
n
s
w
er
:
(
σ
/2
ϵ
0
)
{
(
4/
π
)
tan
−
1
1
+
(
a
2
/2
z
2
)
−
1
}
]
Related theory
Electric Field Of A Dipole And Behaviour In Uniform Field
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