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.
An insulating sphere with the radius of R = 0.5 meters is uniformly charged so that...
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...
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...
A solid sphere, made of an insulating material, has a volume charge density of ρ = a/r What is the electric field within the sphere as a function of the radius r? Note: The volume element dV for a spherical shell of radius r and thickness dr is equal to 4πr2dr. (Use the following as necessary: a, r, and ε0.), where r is the radius from the center of the sphere, a is constant, and a > 0. magnitude E= (b)...
A solid insulating sphere of radius a = 3.1 cm is fixed at the origin of a co-ordinate system as shown. The sphere is uniformly charged with a charge density ρ = -350 μC/m3. Concentric with the sphere is an uncharged spherical conducting shell of inner radius b = 13.5 cm, and outer radius c = 15.5 cm. 1) What is Ex(P), the x-component of the electric field at point P, located a distance d = 30 cm from the...
Consider a solid sphere of radius R = 0.6 m that is uniformly charged with ρ = -16 μC/m3. What is the electric potential a distance 2 m from the center of the sphere?
Consider a solid sphere of radius R = 0.8 m that is uniformly charged with ρ = -10 μC/m3. What is the electric potential a distance 2 m from the center of the sphere?
Consider a solid sphere of radius R = 0.6 m that is uniformly charged with ρ = -10 μC/m3. What is the electric potential a distance 3 m from the center of the sphere?
Question 22 6 pts A uniformly charged solid insulating sphere of radius R and volume charge density p has an electric field strength inside the sphere (r<R) of E = pr/3£. What is the electric potential inside the sphere? (hint: use the relationship between Vand E. -p/38 p/3E. pr2/6€. pr/380 -pr2/680
Two small insulating spheres with radius 7.00×10−2 m are separated by a large center-to-center distance of 0.575 m . One sphere is negatively charged, with net charge -1.70 μC , and the other sphere is positively charged, with net charge 3.90 μC . The charge is uniformly distributed within the volume of each sphere. What is the magnitude E of the electric field midway between the spheres? Take the permittivity of free space to be ϵ0 = 8.85×10−12 C2/(N⋅m2) .
Two small insulating spheres with radius 3.00×10−2 m are separated by a large center-to-center distance of 0.575 m . One sphere is negatively charged, with net charge -1.05 μC , and the other sphere is positively charged, with net charge 3.45 μC . The charge is uniformly distributed within the volume of each sphere. What is the magnitude E of the electric field midway between the spheres? Take the permittivity of free space to be ϵ0 = 8.85×10−12 C2/(N⋅m2) .