1. Electric charge is distributed uniformly along each side of a square, opposite sides having opposite charge as shown and each side having length a. What are the x and y-components of the resultant electric field at the center of the square?

2. Suppose a positive charge is uniformly distributed throughout the volume of a long glass cylinder of radius R and a charge per volume of p. Derive an expression for the electric field inside and outside the cylinder.
1. Electric charge is distributed uniformly along each side of a square, opposite sides having opposite...
Suppose a positive charge is uniformly distributed throughout the volume of a long glass cylinder of radius R and a charge per volume of p (greek letter row). Derive an expression for the electric field inside and outside the cylinder.
2. Let's consider a long solid cylinder with radius R that has positive charge uniformly distributed throughout it, with charge per unit volume a) Find the electric field inside the cylinder at a distance r from the axis in terms of ?. b) Find the electric field at a point outside the cylinder in terms of the charge per unit length ? . c) Com pare the answers to parts (a) and (b) for r = R.
A sphere has a total charge Q uniformly distributed over its volume. The field inside the sphere at a radius r is given by Er= k (Q/R^3) r (a) What is the electric field at a radius r from the center of the sphere, where r > R (i.e outside of the sphere)? (b) Write down an expression for the electric potential at a radius r for r > R (i.e. outside of the sphere). (c) What is the electric...
PROBLEM S: A line charge has a uniform charge Q distributed along a square of side a. Find the electric field above the center of the square at a distance a from each vertex of the square
please answer question # 5
6. A charge of -27 HC is distributed uniformly throughout a spherical volume of radis 13.0 cm Determine the electric field (in N/C) due to this charge at the following distances from the center of the sphere. (Hint: you need to determine the radial component of the electric field.) (a) 4.0 cm (b) 10.0 cnm (c) 26.0 cm 7. A charge of -20 C is distributed uiformly over the surface of a spherica conductor of...
An electric charge Q is distributed uniformly throughout a non-conducting sphere of radius r0, See Fig. below. Using the Gauss's law, determine the electric field: a) Outside of sphere (r0>r). b) Inside the sphere (r0<r).
Charge Q is uniformly distributed inside a sphere of radius R. (a) Determine the electric field inside and outside the sphere. Explain how you arrive at the answer. (b) A cavity of radius R/4, and centered at a point a distance R/2 from the center of the sphere, is made within the sphere. This means that within the sphere of radius R, there is a smaller sphere of radius R/4 which has no charge (the charge density is zero within...
1a) An insulating sphere of radius 2.0 m contains +50 μC of electric charge uniformly distributed throughout the volume of the sphere. i) What is the electric field 1.5 m away from the center of the sphere? ii) What is the volume charge density? iii) What is the electric field 3.0 m away from the center of the sphere? 1b) A potential difference of 6.00 nV is set up across a 5.00 cm length of copper wire that has a...
1. Electric charge is distributed uniformly along a R thin rod of length a, with total charge Q. Take the у potential to be zero at infinity e a. Find the electric field Ē at point P, a distance x to the right of the rod (10 pts) b. Find the electric field Ē at point R, a distance y above of the rod (10 pts) c. In parts (a) and (b), what does your result reduce to as x...
Problem 5. a. Consider a uniformly charged thin-walled right circular cylindrical shell having a total charge Q radius R, and height h. Determine the electric field at a point a distance d from the right side of he cylinder as shown in the figure. a solid cylinder with the same dimensions and carrying the same charge, uniformly ed throughout its volume. Find the electric field it creates at the same point dx