Derive the equation for electric field intensity due a uniform infinite line charge density ρl
Use gauss theorem to find E as shown below
Derive the equation for electric field intensity due a uniform infinite line charge density ρl
Derive the expression for the electric field near an infinite line of charge with uniform charge density λ by integrating the Coulomb’s law field from every infinitesimal amount of charge along the line. This is a great op- portunity to use Mathematica to do the integral. If you get stuck, refer to Example 20.7 on pages 337-338 of the text. If you use Mathematica , attach a pdf copy of the notebook or copy the relevant sections to your writeup.
The electric field due to an infinite line of charge is perpendicular to the line and E Consider an imaginary cylinder with radiusr 0250 m 2TEor and length l = 0.400 m that has an infinite line of positive charge running along its axis. The charge per unit length on the line is l = 3.00 μC/m. A. what is the electric flux through the cylinder due to this infinite line of charge? B. What is the flux through the...
The figure shows an infinite line with uniform linear charge density a = 5.0 uC/m and an infinite sheet with uniform surface charge density o = -2.0 uC/m2. If a charge qı = 2.0 uC is placed at (0.4, -0.3, 0) m as shown in the figure, find the total electric field Ē at point P. +0.4 m 0.3 m
Problem A.1 - Calculate electric flux f5) The electric field due to an infinite line of charge is perpendicular to the line and has magnitude E . Consider an imaginary cylinder with radius e-25 cm and length L = 40 cm that has an infinite line of positive charge running along its axis. The charge per unit length is 3 HC/m. Do not use Gauss's Law, but actually calculate the flux! a) What is the electric flux through the cylinder...
6. Consider a line charge with uniform charge density λ lying on the x-axis from z =-L to 0. a) Determine the electric field a distance y above the right end of the line charge (point P in the figure) and a distance r to the right of the line charge (point P2 in the figure). P2 b) In lecture you saw the electric field of an infinite line charge. Now we will consider a "semi-infinite" line charge; that is,...
10) The electric field from an infinite line charge is given by E = PL_A Derive this function through each of the three methods we discussed: Coulomb's Law, Gauss's Law, and Scalar Potential
ans : +2.29x10^4 V An infinite line of charge has a uniform linear charge density 1 = 1.50 C/m. A section of the line is shown below. Calculate the absolute potential at point P when the zero point (V = 0) is set at r = 3.50 m. The electric field due to a uniformly charged line is given by: E = 2k1 r = 1.50 m k = 8.99x109 Nm2C-2
An infinite line of charge with a uniform linear charge density λ runs along the ˆz-axis. This line also lies along the axis of an infinite dielectric shell, of dielectric constant K, whose inner radius is a and whose outer radius is b, and an infinite, neutral conducting shell whose inner radius is b and whose outer radius is c. a. What is the electric field everywhere in space? b. What is the surface charge density on the inner surface...
6. Consider a line charge with uniform charge density λ lying on the x-axis from x =-L to x = 0. a) Determine the electric field a distance y above the right end of the line charge (point P in the figure) and a distance r to the right of the line charge (point P2 in the figure). Pi C-I b) In lecture you saw the electric field of an infinite line charge. Now we wil consider a "semi-infinite" line...
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.