Question 4 (3 points) a) An infinitely long rod sits horizontally along the x-axis with a...
Question 2 (3 points) A rod sits horizontally along the x-axis with a continuous uniform charge distribution such that the linear charge density λ is 0.025 C/m, with one end of the rod at the origin and the other end of the rod at x = 0.35m. Find the electric potential at the point on the x-axis where x = 0.45 m given that the potential an infinite distance from the rod is defined as being equal to zero.
uniformly charged rod sits along the-x-axis. It has a total charge of-4 pC and extends from the origin to x =-15 cm. a) What is the linear charge density? b) What is the magnitude and direction of the electric field atx 30 cm, y c) What is the electric potential at x = 30 cm, y-0 cm? 0 cm?
A thin rod of length L lies along the x-axis. It has a uniform linear charge distribution λ0. a) What is the value of the electric potential at a given point x located to the right of the rod? Take V=0 at infinity.b) What is the strength of the electric field at the point x?
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...
A rod of length L is located along the x-axis with its right end at the origin. The rod has a total charge -Q and a uniform linear charge density. Find the electric potential at point P located on the y-axis a distance a from the origin.
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...
2. An infinitely long wire with linear charge density - is centered inside an in- finitely long cylinder with surface charge density o and radius a, oriented along the z-axis. (a) Use Gauss's Law to determine the electric field between the wire and cylinder. (b) What must o be, such that the electric field is zero outside the cylinder? (c) An external magnetic field, Bert = Bert 2, is now applied. What is the total angular momentum per unit length...
A charge of uniform linear density 2.0 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.0 cm, outer radius 10 cm). The net charge on the shell is zero. (a) What is the magni- tude of the electric field 15 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell?
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)
A charge of uniform linear density 2.00 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 4.40 cm, outer radius = 10.2 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.6 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of...