3. A sphere has uniform charge density p=0.6C/m^3 and radius of 0.03m. Inside the sphere is a point charge with charge 0.003C located at its center. What is the electric field at a distance of 0.04m from the center of the sphere?
4. Two infinite line charges (charged rods/cylinders, E=k*lambda/D)) make a 90 degree angle with each other. Each has charge density lambda=0.1C/m. What is the electric field at a distance of 0.05m above each rod? Make sure to draw a picture to indicate direction.
3. A sphere has uniform charge density p=0.6C/m^3 and radius of 0.03m. Inside the sphere is...
A sphere of radius a is made of a nonconducting material that has a uniform volume charge density p. A spherical cavity of radius b is removed from sphere which is a distance z from the center of the sphere. Assume that a > z + b. a) Find the magnitude and direction of the electric field at point y0 which is separated by distance yo from the center of the sphere. b) Find the magnitude and direction of the electric field...
a non-conducting solid sphere of radius 8.5 centimeters has a uniform charge density. the magnitude of the electric field at 17 centimeters from the spheres center is 2.14×10^3 Newtons per Coulomb. a. what is the spheres volume charge density? b. find the magnitude of the electric field at a distance of 5 centimeters from the sphere center
1. A very long, uniformly charged cylinder has radius R and charge density \rho. Determine the electric field of this cylinder inside (r<R) and outside (r>R)2. A large, flat, nonconducting surface carries a uniform surface charge density σ. A small circular hole of radius R has been cut in the middle of the sheet. Determine the electric field at a distance z directly above the center of the hole.3. You have a solid, nonconducting sphere that is inside of, and...
A charged sphere of radius R (see picture below) has non-uniform volume charge density that is proportional to distance its center O: rho(r) = br where b is a positive constant of proper units. (Consider values of R and b to be known) What are the proper units for constant b? b) Find electric potential V_0 at the center O.
4. A sphere of radius R has a uniform surface charge density +ρC/m^2. Find the electric field E inside and outside the sphere.
A nonconducting solid sphere of radius 9.80 cm has a uniform volume charge density. The magnitude of the electric field at 19.6 cm from the sphere's center is 1.96 x103 N/C (a) What is the sphere's volume charge density? 2.651 (b) Find the magnitude of the electric field at a distance of 5.00 cm from the sphere's center N/C eBook
A solid insulating sphere of radius R has a non-uniform charge density ρ = Ar2 , where A is a constant and r is measured from the center of the sphere. a) Show that the electric field outside the sphere (r > R) is E = AR5 /(5εor 2 ). b) Show that the electric field inside the sphere (r < R) is E = AR3 /(5εo). Hint: The total charge Q on the sphere is found by integrating ρ...
A hollow sphere has a uniform volume charge density of 1.78 nC/m3. The inner radius is a = 10.3 cm and the outer radius is b = 41.2 cm. +4 +t1 +b+t A hollow sphere has a uniform volume charge density of 1.78 nC/m. The inner radius is a= 10.3 cm and the outer radius is b= 41.2 cm What is the magnitude of the electric field at 16.5 cm from the center of the sphere? What is the magnitude...
A sphere of radius R = 0.260 m and uniform charge density -453 nC/m^3 lies at the center of a spherical conducting shell of inner and outer radii 3.50R and 4.OOR, respectively. If the conducting shell carries a total charge of Q = -38.1 nC, find the magnitude of the electric field at the following radial distances from the center of the charge distribution: