A proof of E for line charge distribution Charge is distributed uniformly along an infinite straight line with constant density Pe. Develop the expression for E at the general point P.
A proof of E for line charge distribution Charge is distributed uniformly along an infinite straight line with constant density Pe. Develop the expression for E at the general point P.
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Transcribed Image Text:A proof of E for line charge distribution
Charge is distributed uniformly along an infinite straight line with constant density
Pe. Develop the expression for E at the general point P.
Cylindrical coordinates will be used, with the line charge as the z axis (see Fig. 2-14). At P,
dQ
dE =
4xE,R² \VF+z
(ra,-za,
too
Pe
IRI
dQ = P.
dz
3P
- 00
Since for every dQ at z there is another charge dQ at -z, the z components cancel.
Then
Per dz
E =
Pe
a, =
2nE,r
Per
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