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An infinitely long uniform line charge of 20 nC/m lie along the z axis in free...
Consider an infinite uniform line charge density of 3 nC/m located on the X axis in fre spaee Calculate the electric field vector E of at the point P (2. 3,4) 2. (2 Marks) Calculate the electric field vector E of a uniform surface charge density of -5 nC/m2 at z-2 at the point P (1, 2, 0) in free space. (2 Marks) 3.
s with a constant density pi are Charge distributed on an infinitely long line along the z- axis. 1. PL a) Find the electric field at any point in space by using Coulomb's law. (15p) b) Find the electric field at any point in space by using Gauss's law. (15p)
An infinitely long line of charge has a linear charge density λ, in units of C/m. (a) (3 pts.) Describe the shape Gaussian surface you would use for this charge configuration and the electric flux for this surface. Do all of the parts of this Gaussian surface have a nonzero electric flux? Explain. (b) (3 pts.) Derive an expression for the electric field in terms of the linear charge density λ. (c) (4 pts.) Briefly show how you would find...
EE303 HW2 01/22/2020, due on 01/29/2020 Q1. Infinite uniform line charges of 5 nC/m lie along the (both positive and negative) x and y axes in free space. Find electric field at P (0, 0, 4). Q2. Three infinite uniform sheets of charge are located in the free space as followings: 3 nC/m? at z=-4, 6 nC/m? at z=1, and -8 nC/m² at z=4. Find E at the following points: P1(2, 5, -2), and P2(4, 2, 2). -8x Q3. Find...
4. An infinitely long, thin wire contains a uniform charge density +λo and is oriented along the z-axis. Assume that the potential at s = 0 is zero. a) Find an expression for the electric field for the wire in Cartesian coordinates and convert it to cylindrical coordinates. b) Use your answer from (a) to solve for an expression for the electric potential at a distance s from the wire. Use cylindrical coordinates for this. c) Now solve for an...
An infinitely long line charge having a uniform charge per unit length λ lies along at a distance d from the center of a sphere of radius R. Determine the total electric flux through the surface of this sphere for the two cases a. R < d, and b. R > d.
5.(10 points) A uniform line charge with a charge density +24.5 nC/m runs along the x-axis from the origin to "infinity". An observer is located on the x-axis at x- -15.0 cm. What is the electric field at the location of this observer (due to the line charge)? [Include magnitude and direction in your answer.] [minor Hint: the solution to this problem does involve integration; if your solution does not, then it is not a correct solution.] Ans.
A line of charge with uniform density of 38.0 nC/m lies along the line y = -15.0 cm, between the points with coordinates x = 0 and x = 40.0 cm. Find the electric field's direction(counterclockwise from the +x axis). Magnitude=2597.3524601974621608226617005484 is Correct
An infinitely long line of charge with linear charge density lambda lies along the central axis of an infinitely long hollow plastic cylinder with inner radius R _1 and outer radius R _2. The inner surface of the cylinder has a surface charge density of eta _1 and the outer surface of the cylinder has a surface charge density of eta _2. There are no other charges within the plastic material, except for those on the inner and outer surfaces....
A line of charge with uniform density of 32.0 nC/m lies along the line y = -15.0 cm, between the points with coordinates x = 0 and x = 48.0 cm. Find the electric field it creates at the origin. Magnitude N/C Direction ° (counterclockwise from the +x axis)