Line charge 6. A finite line charge with a charge density of PL = 4π C/m is placed along the z-axis as shown in the figure below. The point P is the observation point, and its position is given in the Cartesian coordinate system. i) ii) By using Coulomb's Law, show that the electric field intensity Ē at point P is given by: E = h 1 | 2 ax + (1-1) a] V/m. + 1 Suppose a point charge q = 0.2 μC is placed at point P, determine the force exerted on this charge due to the electric field produced by the line charge, if h = 4 m. I 2 3 (0,0, h) PL (0,0,0) P(1,0,0) y 242511/BEL2123

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Author:Raymond A. Serway, John W. Jewett
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Chapter24: Gauss’s Law
Section: Chapter Questions
Problem 24.46P: A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108...
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Line charge
6. A finite line charge with a charge density of PL = 4π C/m is placed along the z-axis as
shown in the figure below. The point P is the observation point, and its position is given in
the Cartesian coordinate system.
i)
ii)
By using Coulomb's Law, show that the electric field intensity Ē at point P is given
by:
E =
h
1 | 2 ax + (1-1) a] V/m.
+ 1
Suppose a point charge q = 0.2 μC is placed at point P, determine the force exerted
on this charge due to the electric field produced by the line charge, if h = 4 m.
I
2
3
(0,0, h)
PL
(0,0,0)
P(1,0,0)
y
242511/BEL2123
Transcribed Image Text:Line charge 6. A finite line charge with a charge density of PL = 4π C/m is placed along the z-axis as shown in the figure below. The point P is the observation point, and its position is given in the Cartesian coordinate system. i) ii) By using Coulomb's Law, show that the electric field intensity Ē at point P is given by: E = h 1 | 2 ax + (1-1) a] V/m. + 1 Suppose a point charge q = 0.2 μC is placed at point P, determine the force exerted on this charge due to the electric field produced by the line charge, if h = 4 m. I 2 3 (0,0, h) PL (0,0,0) P(1,0,0) y 242511/BEL2123
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