Question

In the figure a solid sphere of radius a = 3.20 cm is concentric with a...

In the figure a solid sphere of radius a = 3.20 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net uniform charge q1 = +3.75 fC; the shell has a net charge q2 = –q1. What is the magnitude of the electric field at radial distances (a) r = 0 cm, (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = 2.30a, and (f) r = 3.50a? What is the net charge on the (g) inner and (h) outer surface of the shell?

Homework Answers

Answer #1

From gauss's law,

E.dA = q / eo

E . 4pi*r^2 = qen / eo

E = q / 4*pi*r^2*eo

(a)

at r = 0,

qenclose = 0

so, E = 0

(b)

At r = a/2

E = kqr / a^3 = kq / 2a^2

E = 9*10^9*3.75*10^(-15) / 2*(0.032)^2

E = 1.64*10^(-2) N/C

(c)

At r = a,

E = kq / r^2

E = 9*10^9*3.75*10^(-15) / (0.032)^2

E = 3.29*10^(-2) N/C

(d)

at r = 1.5a

E = kq / r^2

E = 9*10^9*3.75*10^(-15) / (1.5*0.032)^2

E = 1.46*10^(-2) N/C

(e)

r = 2.3a

E = 0

(f)

at r = 3.5a

E = 0

(g)

Charge on inner surface,

qin = -q = -3.75 fC

Charge on outer surface,

qout = -q + q

qout = 0

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In the figure a solid sphere of radius a = 2.60 cm is concentric with a...
In the figure a solid sphere of radius a = 2.60 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net uniform charge q1 = +5.02 fC; the shell has a net charge q2 = –q1. What is the magnitude of the electric field at radial distances (a) r = 0 cm, (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e)...
In the figure a solid sphere of radius a = 3.40 cm is concentric with a...
In the figure a solid sphere of radius a = 3.40 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net uniform charge q1 = +6.62 fC; the shell has a net charge q2 = –q1. What is the magnitude of the electric field at radial distances (a) r = 0 cm, (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e)...
15. A solid conducting steel sphere of radius Rball= 10.0 cm is concentric with a hollow,...
15. A solid conducting steel sphere of radius Rball= 10.0 cm is concentric with a hollow, uniformly charged, nonconducting spherical shell of plastic with an inner radius Rinner = 20.0 cm and outer radius Router = 30.0 cm. The steel sphere has net charge qball = 40.0 nC, while the spherical shell has net charge qshell = -50.0 nC. Determine the magnitude of the electric field at the following distances from the center:(a) r = 5.00 cm. (b) r =...
A solid, nonconducting sphere of radius R = 6.0cm is charged uniformly with an electrical charge...
A solid, nonconducting sphere of radius R = 6.0cm is charged uniformly with an electrical charge of q = 12µC. it is enclosed by a thin conducting concentric spherical shell of inner radius R, the net charge on the shell is zero. a) find the magnitude of the electrical field E1  inside the sphere (r < R) at the distance r1 = 3.0 cm from the center. b) find the magnitude of the electric field E2 outside the shell at the...
A solid insulating sphere of radius a = 2 cm carries a net positive charge Q...
A solid insulating sphere of radius a = 2 cm carries a net positive charge Q = 9 nC uniformly distributed throughout its volume. A conducting spherical shell of inner radius b = 4 cm and outer radius c = 6 cm is concentric with the solid sphere and carries an initial net charge 2Q. Find: a. the charge distribution on the shell when the entire system is in electrostatic equilibrium. b. theelectricfieldatpoint:(i)AwithrA =1cm,(ii)BwithrB =3cm,(iii)CwithrC =5cm from the center of...
A solid insulating sphere of radius a = 5 cm is fixed at the origin of...
A solid insulating sphere of radius a = 5 cm is fixed at the origin of a co-ordinate system as shown. The sphere is uniformly charged with a charge density ρ = -244 μC/m3. Concentric with the sphere is an uncharged spherical conducting shell of inner radius b = 13 cm, and outer radius c = 15 cm. 1)What is Ex(P), the x-component of the electric field at point P, located a distance d = 32 cm from the origin...
A plastic sphere with a radius of 4 cm is surrounded by a concentric metal shell...
A plastic sphere with a radius of 4 cm is surrounded by a concentric metal shell of 7 cm inside radius, and 10 cm outside radius. The outer shell has a net charge of +5 Coulombs, while the plastic sphere inside has a uniformly distributed charge of -10 Coulombs. What is the electric potential relative to infinity at a distance 15 [cm] from the center of the plastic sphere i.e. outside the conducting shell, and why? 2b. What net charge...
A solid conducting sphere 60 mm in radius carries a charge of 5.3nC . A thick...
A solid conducting sphere 60 mm in radius carries a charge of 5.3nC . A thick conducting spherical shell of inner radius 100 mm and outer radius 120 mm carries a charge of -4.0 nC and is concentric with the sphere. A. Calculate the surface charge density on the surface of the solid sphere. B.Calculate the surface charge density on the inner surface of the thick shell. C.Calculate the surface charge density on the outer surface of the thick shell.
The figure shows a spherical shell with uniform volume charge density ρ = 2.17 nC/m3, inner...
The figure shows a spherical shell with uniform volume charge density ρ = 2.17 nC/m3, inner radius a = 10.4 cm, and outer radius b = 3.0a. What is the magnitude of the electric field at radial distances (a) r = 0; (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = b, and (f) r = 3.00b?
A small conducting spherical shell with inner radius a and outer radius b is concentric with...
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of -1q and the outer shell has a total charge of +3q. Select True or False for the following statements. True False The radial component of the electric field in the region r > dis given by +2q/(4πε0r2). True False The total charge on...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • Identifying Activity Bases in an Activity-Based Cost System Comfort Foods Inc. uses activity-based costing to determine...
    asked 8 minutes ago
  • Solve y'' + 2y' + 4y = 1 subject to y(0) = y'(0) = 0 (differential...
    asked 41 minutes ago
  • A school psychologist wants to know if a popular new hypnosis technique impacts depression. The psychologist...
    asked 50 minutes ago
  • Two identical sedimentation tanks are to be designed for an activated sludge plant with a flow...
    asked 53 minutes ago
  • Hello, could you provide an original example of a security flaw or vulnerability related to strings....
    asked 1 hour ago
  • Let f(x)=5−log(x+1), g(x)=x2−2x−4 and k(x)=5/(x−4). (a) Find (fog)(x)(fog)(x) and its domain using the interval notation. (b)...
    asked 1 hour ago
  • List the main load transfer mechanisms in pile foundation and comment about the optimal spacing of...
    asked 1 hour ago
  • An athlete swings a 6.50-kg ball horizontally on the end of a rope. The ball moves...
    asked 1 hour ago
  • 1. Observation research must be systematic, not casual or haphazard, in its design. True or False...
    asked 2 hours ago
  • "Thinking as skill". Dr. Edward de Bono gave Lateral Thinking its name and developed techniques for...
    asked 2 hours ago
  • Part 1 a) Earned Value Management (EVM) is a project management technique for measuring project performance...
    asked 2 hours ago
  • 11.3.2 Levi-Strauss Co manufactures clothing. The quality control department measures weekly values of different suppliers for...
    asked 2 hours ago