1a) An insulating sphere of radius 2.0 m contains +50 μC of electric charge uniformly distributed...
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 radius of 3.00 mm. How much charge drifts through a cross section in 8.00 ms? (The resistivity of copper is 1.69×10^−8 Ω·m)
1c) At what distance along the central perpendicular axis of a uniformly charged thin plastic disk of radius 0.6 m is the magnitude of the electric field equal to one third the magnitude of the field at the disk’s center?
Homework Answers
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1a) An insulating sphere of radius 2.0 m contains +50 μC of
electric charge uniformly distributed...
An insulating sphere of radius 2 contains 50 of electric charge uniformly distributed throughout volume of the sphere. Calculate the electric field 1.5 away from the center of the sphere.
An insulating sphere of radius 2 contains 50 of electric charge uniformly distributed throughout volume of the sphere. Calculate the electric field 1.5 away from the center of the sphere.Please Explain each step in the solution
Charge Q = +4.00 μC is distributed uniformly over the volume of an insulating sphere that...
Charge Q = +4.00 μC is distributed uniformly over the volume of an insulating sphere that has radius R = 5.00 cm. What is the potential difference between the center of the sphere, V(0) and the surface of the sphere, V(R)? Solve by finding the E-field inside the insulating sphere using Gauss law, and then find the potential difference.
Charge Q is distributed uniformly throughout the volume of an insulating sphere of radius R =...
Charge Q is distributed uniformly throughout the volume of an insulating sphere of radius R = 4.00 cm. At a distance of r = 8.00 cm from the center of the sphere, the electric field due to the charge distribution has magnitude 640 N/C . a. What is the volume charge density for the sphere? Express your answer to two significant figures and include the appropriate units. b. What is the magnitude of the electric field at a distance...
An insulating sphere with the radius of R = 0.5 meters is uniformly charged so that...
An insulating sphere with the radius of R = 0.5 meters is uniformly charged so that the volume charge density is ρ = 20 μC/m3. Find the electric field at the point 0.2 meters away from the center of the sphere. Do not include the units in your answers, and round the result to the two significant digits. The electric permittivity of vacuum is ε0 = 8.9×10^−12 C^2/N m^2.
Problem 8 A positive charge is uniformly distributed through an insulating sphere of radius R. The...
Problem 8 A positive charge is uniformly distributed through an insulating sphere of radius R. The point P that is located a distance r from the center of the sphere. (i) Determine the electric field when the point P is inside the sphere (r < R). (ii) Determine the electric field when the point P is outside the sphere (r > R). (iii) Plot the magnitude of the electric field as a function of r.
Problem 8 A positive charge is uniformly distributed through an insulating sphere of radius R. The...
Problem 8 A positive charge is uniformly distributed through an insulating sphere of radius R. The point P that is located a distance r from the center of the sphere. (i) Determine the electric field when the point P is inside the sphere (r < R). (i) Determine the electric field when the point P is outside the sphere (r> R). (iii) Plot the magnitude of the electric field as a function of r.
Charge Q = 7.00 μC is distributed uniformly over the volume of an insulating sphere that...
Charge Q = 7.00 μC is distributed uniformly over the volume of an insulating sphere that has radius R = 13.0 cm . A small sphere with charge q=+ 2.00 μC and mass 6.00×10−5kg is projected toward the center of the large sphere from an initial large distance. The large sphere is held at a fixed position and the small sphere can be treated as a point charge. What minimum speed must the small sphere have in order to come...
Charge Q = 8.00 μC is distributed uniformly over the volume of an insulating sphere that...
Charge Q = 8.00 μC is distributed uniformly over the volume of an insulating sphere that has radius R = 14.0 cm . A small sphere with charge q=+3.00 μC and mass 6.00.×10−5kg is projected toward the center of the large sphere from an initial large distance. The large sphere is held at a fixed position and the small sphere can be treated as a point charge. part a) What minimum speed must the small sphere have in order to...
A hollow, uniformly charged sphere has an inner radius of r1 = 0.12 m and an outer radius of r2 = 0.27 m. The sphere has a net charge of Q = 2.8 μC.
A hollow, uniformly charged sphere has an inner radius of r1 = 0.12 m and an outer radius of r2 = 0.27 m. The sphere has a net charge of Q = 2.8 μC. What is the magnitude of the electric field, in newtons per coulomb, at a distance of r = 0.23 m from the center of the sphere?
A solid sphere of radius 40.0 cm has a total positive charge of 38.7 μC uniformly distributed throughout its volume.
A solid sphere of radius 40.0 cm has a total positive charge of 38.7 μC uniformly distributed throughout its volume. Calculate the magnitude of the electric field at the following distances. (a) 0 cm from the center of the sphere(b) 10.0 cm from the center of the sphere (c) 40.0 cm from the center of the sphere (d) 57.0 cm from the center of the sphere
Problem 8 A positive charge is uniformly distributed through an insulating sphere of radius R. The point P that is located a distance r from the center of the sphere. (i) Determine the electric field when the point P is inside the sphere (r < R). (ii) Determine the electric field when the point P is outside the sphere (r > R). (iii) Plot the magnitude of the electric field as a function of r.
Problem 8 A positive charge is uniformly distributed through an insulating sphere of radius R. The point P that is located a distance r from the center of the sphere. (i) Determine the electric field when the point P is inside the sphere (r < R). (i) Determine the electric field when the point P is outside the sphere (r> R). (iii) Plot the magnitude of the electric field as a function of r.
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