Determine the total charge in a sphere with uniform charge density of 25 C/m3 and a...
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 hollow sphere has a uniform volume charge density of 3.97 nC/m3. The inner radius is a = 15.6 cm and the outer radius is b = 78.0 cm. What is the magnitude of the electric field at 26.5 cm from the center of the sphere? What is the magnitude of the electric field at 289 cm from the center of the sphere?
Charge of uniform volume density ρ = 4.30 µC/m3 fills a nonconducting solid sphere of radius 3.50 cm. What is the magnitude of the electric field (a) 2.20 cm and (b) 4.90 cm from the sphere's center?
Charge of uniform volume density ρ = 3.40 µC/m3 fills a nonconducting solid sphere of radius 7.90 cm. What is the magnitude of the electric field (a) 5.00 cm and (b) 11.0 cm from the sphere's center?
A sphere of radius R has total charge Q. The volume charge density (C/m3) within the sphere is ρ(r)=C/r2, where C is a constant to be determined. The charge within a small volume dV is dq=ρdV. The integral of ρdV over the entire volume of the sphere is the total charge Q. Use this fact to determine the constant C in terms of Q and R. Hint: Let dV be a spherical shell of radius r and thickness dr. What...
A solid non-conducting sphere (R = 10 cm) has a charge of uniform density 50 nC/m3 uniformly distributed throughout its volume. (a) Determine the magnitude of the electric field 20 cm from the center of the sphere. (b) Determine the magnitude of the electric field 5 cm from the center of the sphere. Hint: first calculate the charges inside the assumed Gaussian surfaces, assume π = 3. Answer: 45 N/C, 90 N/C.
A sphere of radius 1.2 cm has a constant volume charge density of 0.7 μC/m3. What is the magnitude of the electric field in N/C at a radius of 6 cm from the center of the sphere to 2 decimal places?
A non-conducting sphere of radius 5.6 cm has a uniform volume charge with a charge density of rho = 41.4 mu C/m^3. What is the electric field at r = 2.95 cm?
Guided Problem 4 -Gauss's LawA solid, insulating sphere of radius a has a uniform charge density ρ and a total charge Q. Concentric with this sphere is an uncharged, conducting hollow sphere whose inner and outer radii are b and c as shown in the following figure. (a) Find the magnitude of the electric field in the regions: r<a, a<r<b, and r>c. (b) Determine the induced charge per unit area on the inner and outer surfaces of the hollow sphere.Solution scheme:...
held. A solid sphere has a radius R. The top hemisphere carries a uniform charge density p while the lower hemisphere has a uniform charge density of -p. Find an approximate formula for the potential outside the sphere, valid at distances r >> R. A solid sphere has a radius R. The top hemisphere carries a uniform charge density p while the lower hemisphere has a uniform charge density of -p. Find an approximate formula for the potential outside the...