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60. First, we need a formula for the field due to the arc.
We use the notation
λ
for the
charge density,
λ
=
Q
/L
.
Sample Problem 224 illustrates the simplest approach to
circular arc field problems.
Following the steps leading to Eq. 2221, we see that the
general result (for arcs that subtend angle
θ
) is
E
arc
=
λ
4
πε
o
r
[sin(
θ/2) −
sin(
−θ/2)
]
=
λ
sin
(θ/2)
2
πε
o
r
.
Now, the arc length is
L = r
θ
if
θ
is expressed in radians
.
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This note was uploaded on 01/25/2011 for the course PHYSICS 17029 taught by Professor Rebello,nobels during the Fall '10 term at Kansas State University.
 Fall '10
 Rebello,NobelS
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