A solid and nonuniformly charged insulating sphere has two regions of interest as shown above. The...

A solid and nonuniformly charged insulating sphere has two regions of interest as shown above. The charge per unit volume depends on the distance from the center of the sphere, ρ(r) = Ar-2e-br for r ≤ a. The parameters are given as A = 4.20 pC/m, b = 2.90 m-1, and a = 0.370 m. (a) Determine the electric flux through a Gaussian sphere with a radius r = 0.560 m and centered about the solid insulating sphere as shown above to the left. (b) Determine the magnitude of the electric field at r = 0.560 m. (c) Determine the electric flux through a Gaussian sphere with a radius r = 0.190 m and centered about the solid insulating sphere as shown above to the right. (b) Determine the magnitude of the electric field at r = 0.190 m.

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

Shown is a uniformly charged inner insulating sphere with radius a and with charge density given...

Shown is a uniformly charged inner insulating sphere with radius a and with charge density given by ρ = ρ0(r3/a3). Outside of it is a conducting shell of inner radius b and outer radius c. This spherical shell also has double the charge of the inner non-conducting sphere. (So, if the inner sphere had charge “+Q”, the outer shell has charge “+2Q”.) The space between the sphere and the shell is empty. a) Describe/draw the charge distribution on the outer...

2. A solid insulating sphere with a radius ? = 12 ?? has a volume charge...

2. A solid insulating sphere with a radius ? = 12 ?? has a volume charge density which varies with radial distance ? as given by ? = 4 × 103 ?0 (1 + ? ? ) ?/?3 . Calculate the electric field magnitude at ? = 2? by using Gauss’s Law. (?0 = 8.85 × 10−12 ? 2/??2 )

A solid insulating sphere of radius R has a charge of Q, (Q > 0) placed...

A solid insulating sphere of radius R has a charge of Q, (Q > 0) placed on it, uniformly distributed throughout its volume. Surrounding the sphere is a spherical conducting shell with inner radius 2R and outer radius 3R and has a charge of −2Q placed on it. The sphere and the shell share the same center. 1A: Determine the magnitude of the electric field, E(r), where r is the distance from the center of the sphere 1B: Determine the...

Two 2.0-cm-diameter insulating spheres have a 5.60 cm space between them. One sphere is charged to...

Two 2.0-cm-diameter insulating spheres have a 5.60 cm space between them. One sphere is charged to + 40.0 nC , the other to - 60.0 nC . Part A What is the electric field strength at the midpoint between the two spheres?

Two 2.0-cm-diameter insulating spheres have a 7.00 cm space between them. One sphere is charged to...

Two 2.0-cm-diameter insulating spheres have a 7.00 cm space between them. One sphere is charged to + 70.0 nC , the other to - 79.0 nC . Part A What is the electric field strength at the midpoint between the two spheres? Express your answer with the appropriate units.

Consider a solid, insulating sphere of radius a = 5.00 cm carrying a net positive charge...

Consider a solid, insulating sphere of radius a = 5.00 cm carrying a net positive charge of Q = 3.00 μC uniformly distributed throughout its volume. Concentric with this sphere is a hollow, conducting spherical shell with inner radius b = 10.0 cm and outer radius c = 15.0 cm having a net negative charge of q = -1.00 μC. a) Give the expression from Gauss’s Law for the magnitude of electric field inside the insulating sphere for 0 ≤...

An infinitely long, uniformly charged, insulating, solid cylinder, with radius R has spher- ical holes cut...

An infinitely long, uniformly charged, insulating, solid cylinder, with radius R has spher- ical holes cut into it of radius a < R along its axis. The cylinder is placed with its axis along the z − axis. These holes have centers at z = 0, ±d, ±2d, . . . ± nd with d > 2a and n run- ning to ∞. Calculate the electric field from the cylinder at a distance r > R on the x, y...

A solid sphere of radius a is uniformly charged with a total charge Q > 0....

A solid sphere of radius a is uniformly charged with a total charge Q > 0. a. Use Gauss’s law to determine the electric ﬁeld everywhere. b. Where is the magnitude of the electric ﬁeld the largest? c. What is its value there? d. Find two distances from the centre of the sphere where the electric ﬁeld has half of its maximum value.

(a) Plot the electric field of a charged conducting solid sphere of radius R as a...

(a) Plot the electric field of a charged conducting solid sphere of radius R as a function of the radial distance r, 0 < r < 1, from the center. (b) Plot the electric field of a uniformly charged nonconducting solid sphere of radius R as a function of the radial distance r, 0 < r < 1, from the center.

A sphere of radius a is made out of insulating material and has a charge uniformly...

A sphere of radius a is made out of insulating material and has a charge uniformly distributed throughout its volume. (a) What is the electric field inside the sphere? (b) What is the electric field outside the sphere? (c) How do your answers change if a thin spherical shell of radius b, where b >a, is added to the system and contains a charge −Q uniformly distributed on its surface?

Subjects