(a) Find E in the plane z = 0 that is produced by a uniform line...
(a) Find E in the plane z = 0 that is produced by a uniform line charge, ρL, extending along the z axis over the range −L < z < L in a cylindrical coordinate system. (b) If the finite line charge is approximated by an infinite line charge (L → ∞), by what percentage is Eρ in error if ρ = 0.5L? (c) Repeat (b) with ρ = 0.1L.
Homework Answers
Answer:
a)
Given that Find E in the plane z = 0 that is produced by a uniform line charge, ρL, extending along the z axis over the range −L < z < L in a cylindrical coordinate system.
We know that
Here
Now
Let
b)
if the finite line charge is approximated by an infinite line
charge 
If 
Then
c)
Repeat (b) with 
Then
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An infinitely long uniform line charge of 20 nC/m lie along the z axis in free...
An
infinitely long uniform line charge of 20 nC/m lie along the z axis
in free space, determine the electric flux density (in Cartesian
coordinate system) at observation point P(1, 1, -1). No need to
derive any expressions! Show main steps with proper units.
An infinitely long uniform line charge of 20 nC/m lie along the z axis in free space, determine the electric flux density (in Cartesian coordinate system) at observation point P(1, 1,-1). No need to derive any...
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Question 11 An infinite horizontal plane of uniform negative charge sits at a height of z = 0, Fo...
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6. Consider a line charge with uniform charge density λ lying on the x-axis from z...
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Please solve correctly and clearly.
An infinite conducting plane exists at z-0. At a height of I m above the plane is a 2 m line of charge with uniform charge density pi. The line is parallel to the axis and centered about the z axis (i.e., its endpoints run from (-1, 0, 1) to (1,0, 1). Provide the expression that can be used form of an integral (or two). The goal is to set up the integrals with as...
line charge 4. A cylindrical shell has inner radius a and outer radius b and is length L. The shell has uniform, charge density ρ. a. Find the electric field not near the ends in all 3 regions. b. (Not Required) A line of charge has total charge Q and length L and is at the middle of a cylindrical shell, along its axis. Find the electric field again in all three regions.
An
infinitely long uniform line charge of 20 nC/m lie along the z axis
in free space, determine the electric flux density (in Cartesian
coordinate system) at observation point P(1, 1, -1). No need to
derive any expressions! Show main steps with proper units.
An infinitely long uniform line charge of 20 nC/m lie along the z axis in free space, determine the electric flux density (in Cartesian coordinate system) at observation point P(1, 1,-1). No need to derive any...
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