An infinite cylinder of radius R = 11.9 m, has a volume charge density of p(r) 3.4 x 10-12 C/m³ Using Gauss's law, what is the electric field (in N/C) at a distance of r = 4.8 m from the cylinder's axis.

If a solid insulating sphere of radius 50 cm carries a total charge of 150 µC uniformly distributed throughout its volume, what is its: a) volume charge density? b) What is the magnitude of the electric field at 10 cm c) 65 cm from the center of the sphere.

Problem 9: Consider a ring of charge with a linear charge density 540 nC/m. The radius of the ring is 75 cm. Part (a) What is the magnitude of the electric field, in newtons per coulomb, a distance 2.99 m from the center of the ring along the axis of the rin E = Part (b) Give an expression for the electric field very far from the ring, when zo >> R. Write this expression in terms of the Coulomb constant k, the charge density 2, the distance Zo, and the radius R. E(z0 >> R) = Part (c) Give an expression for the electric field very close to the plane of the ring, when zo < R. Write this expression in terms of the Coulomb constant k, the charge density à, the distance zo, and the radius R. E(zo << R) =

Positive charge is distributed in a sphere of radius R that is centered at the origin. Inside the sphere, the electric field is Ē(r) = kr-1/4 f, where k is a positive constant. There is no charge outside the sphere. a) How is the charge distributed inside the sphere? In particular, find an equation for the charge density, p. b) Determine the electric field, E(r), for r > R (outside the sphere). c) What is the potential difference between the center of the sphere (r = 0) and the surface of the sphere (r = R)? d) What is the energy stored in this electric charge configuration?

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A spherical insulating sphere has a radius of 0.4 m. The electric field on the surface of the sphere is measured to be 8.9×10^3 N⁄Cand points radially toward the center. Calculate the average volume charge density (ρ ) in (C/m3) of the sphere?

he electric field at a distance of 0.6 m from the center of an insulated solid sphere with a radius of 0.375 m is 1750 n/c. If the charge of the sphere is evenly distributed over its volume, what is the charge density (c/m3) of the sphere?

A long nonconducting cylinder (radius 6.0 mm) has a nonuniform volume charge density given by ar, where a= 6.2 mC/m' and r is the distance from the axis of the cylinder. What is the magnitude of the electric field at a point 2.0 mm from the axis?

The Electric Field of a Charged Semi-CircleA semi-circle non-conducting wire with radius 93.00 [cm] is charged with charge 7.50×10-9 [C]. Calculate the electric field at the center of the semi-circle if the charge distribution is uniform.Ex =Ey =Ez = Consider the case in which the charge density is given by λ = λ° sin(θ), where θ is measured with respect to the x-axis. Calculate λ° and the electric field at the center of the semi-circle.λ° = Ex =Ey =Ez =

A spherically symmetric charge distribution produces the electric field E- (3x10 ) N/C along the radial directrion, where r is in m. How much charge (in nC) is inside a 0.2 m radius spherical sphere?