A 20 [cm] radius ball is uniformly charged to 80 [nC]. a) What is the ball’s volume charge density [C/m*3]? b) How much charge is enclosed by spheres of radius 5, 10, and 20 [cm]? c) What is the electric field strength at points 5, 10, and 20 [cm] from the center?

A 20 [cm] radius ball is uniformly charged to 80 [nC]. a) What is the ball’s volume charge density [C/m*3]? b) How much charge is enclosed by spheres of radius 5, 10, and 20 [cm]? c) What is the electric field strength at points 5, 10, and 20 [cm] from the center?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 73P: Two infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P19.73....

See similar textbooks

Related questions

Q: An infinitely long solid cylinder of radius 17 cm has a non-uniform volume charge density given by ρ…

Q: The figure shows the cross section of a thin conductive shell with a radius of 10cm10cm containing…

A: As per our answering guidelines, we will be answering the first three subparts of the question.…

Q: Figure 2 shows a nonconducting rod with a uniformly distributed charge Q. The rod forms a…

Q: A nonuniform, but spherically symmetric, distribution of charge has a charge density ρ(r) given as…

A: Dear student, Thank you for the Question. We’ll answer the first three subparts of the question…

Q: The electric field in terms of spherical coordinates is defined as follows: E = kr'r Here, k is the…

A: The charge density is dependent on the divergence of the electric field and the equation can be…

Q: Consider a small sphere (an actual sphere, not a Gaussian surface) of radius R = 0.1 m that is…

Q: ) Compute the electric fields caused by q1 , 92 and the total field at point P on y-axis (E1, E2, E…

Q: For which of the following charge distributions would Gauss's law not be useful for calculating the…

A: Given question has aked about case in which gauss law is not useful The Answer of this question is…

Q: A cylinder of diameter 1.72 m is in a region where the electric field is as shown in the figure…

A: Flux is the cross product of electric field and cross section area.

Q: A charged rod of total length 3.7 m lies centered on the x axis as shown (the L indicated in the…

A: Given data- Total length of charged rod =3.7 m Value of L=1.85 m Charge density λ=ax2 , a=-87.3…

Q: A thin, long rod of length 13.0 m lies along the x axis with its center at the origin. The total…

A: Consider point P at a distance y from the origin. The diagra can be shown as below: As seen in…

Q: Two concentric spherical shells with radius “R1” and “R2” , charge quantity “Q1” and “Q2”…

Q: A uniform volume charge distribution ρv=5 (nC/m3) exists in a sphere that has a radius of a=3 cm.…

Q: Consider a hollow spherical conductive shell of radius (R) 0.2 m with a fixed charge of +2.0 x 10-6…

A: Given, Radius R = 0.2 m Charge q = 2.0 x 10-6 C

Q: A solid conducting cylinder, which has a charge Q1 =64Q and radius ra = 1.3R is placed inside a very…

A: Consider a Gaussian surface (cylindrical) having radius r = 5.8 R. Now the total charge enclosed by…

Q: A nonuniform, but spherically symmetric, distribution of charge has a charge density P(r) given as…

Q: The volumetric charge density of a sphere of radius R is given by p = alpha - alpha.r / R (alpha is…

Q: Q: A long thin wire carrying a uniform line charge density +λ runs down the center of a long…

A: As the given wire and the cylindrical tube, both are infinitely long. For an infinite length of…

Q: A sphere of radius a has volume charge density p = bor where bo is constant and r is the distance…

Q: Charge Q is distributed uniformly throughout the volume of an insulating sphere of radius R = 4.00…

Q: Two charged concentric spherical shells have radii r = 2 cm and 4 cm. The charge on the inner shell…

A: The inner radius of a shell is, rin=2 cm=0.02 m The outer radius of a shell is, rout=4 cm=0.04 m The…

Q: The electric field intensity 2m from the surface of a charged sphere is 30.86 x10³ N/C. The charge…

Q: Using the method of integration, what is the electric field of a uniformly charged thin circular…

A: The electric field of a uniformly charge.

Q: A solid nonconducting sphere of radius R = 6.7 cm has a nonuniform charge distribution of volume…

Q: The figure below shows a spherical shell with uniform volume charge density ρ = 1.92 nC/m3, inner…

Q: A solid conducting sphere, which has a charge Q1 -71Q and radius ra- 1.7R is placed inside a very…

A: Given: ra=1.7 R, Q1=71Qrb=4.9R, Q2=-5QFinding E at r=6.7R

Q: A point charge of -3.00 micro Coulomb is located in the center of a spherical cavity of radius 6.50…

A: The charge can be determined as,…

Q: The electric field at a distance of 0.157 m from the surface of a solid insulating sphere with…

A: Given: Radius of Sphere (R) = 0.361 m. Electric Field (E) = 1730 N/C. Distance of electric field…

Q: Two large, parallel, non-conducting sheets, each with a fixed uniform charge on one side, have…

Q: dx P. + + + + + + t + dq Evaluate an expression for the electric field at point P of a uniformly…

A: Here we first find the electric field due to small element after that we integrate to find the…

Q: Find the electric field both inside and outside a non-uniformly charged sphere. The total charge is…

Q: Ra

Q: Say you have an infinite cylinder of radius R = 6 m. Find the enclosed charge and magnitude of…

A: Given information: The radius of the cylinder (R) = 6 cm The volume charge density of the cylinder…

Q: Charge Q is uniformly distributed in a sphere of radius R. (a) What fraction of the charge is…

Q: A disk of radius r= 70 cm has a uniform surface charge density o = 93.2 nC. Calculate the electric…

A: The electric field at a perpendicular distance x from the center of a uniformly charged disc of…

Q: The electric field E is maximum at r equals:

A: Answer is 2R/3 .

Q: A charge distribution that is spherically symmetric but not uniform radially produces an electric…

Q: A solid conducting sphere of radius a, has a net charge Q as shown in the figure below. Using…

Q: Charge is distributed uniformly over the plane ? = −5 cm with a surface charge density of 1/36?…

Q: After electrostatic equilibrium is reached, what is the volume charge density inside the sphere?…

A: A) When the electrostatic equilibrium is reached, the net charge distributes on the outside surface…

Q: The figure below shows two concentric spheres. The one shaded by yellow is a conductor, while the…

Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

A 20 [cm] radius ball is uniformly charged to 80 [nC].
a) What is the ball’s volume charge density [C/m*3]?
b) How much charge is enclosed by spheres of radius 5, 10, and 20 [cm]?
c) What is the electric field strength at points 5, 10, and 20 [cm] from the center?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Two infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P19.73. The sheet on the left has a uniform surface charge density , and the one on the right hits a uniform charge density . Calculate the electric field at points (a) to the left of, (b) in between, and (c) to the right of the two sheets. (d) What If? Find the electric fields in all three regions if both sheets have positive uniform surface charge densities of value .
Consider two thin disks, of negligible thickness, of radius R oriented perpendicular to the x axis such that the x axis runs through the center of each disk. The disk centered at x=0 has positive charge density η, and the disk centered at x=a has negative charge density −η, where the charge density is charge per unit area. What is the magnitude E of the electric field at the point on the x axis with x coordinate a/2? Express your answer in terms of η, R, a, and the permittivity of free space ϵ0.
A solid nonconducting sphere of radius R = 6.7 cm has a nonuniform charge distribution of volume charge density ρ = (16.7 pC/m3)r/R, where r is radial distance from the sphere's center. (a) What is the sphere's total charge? What is the magnitude E of the electric field at (b) r = 0, (c) r = R/2.0, and (d) r = R? *I don't need answer a. * hint: Did you construct a Gaussian sphere through any given radial point, concentric with the actual sphere? What is the charge enclosed by the Gaussian sphere? (Do you see that with a variable density, integration is required?) Did you then apply Gauss' law to get the field?
Figure 2 shows a nonconducting rod with a uniformly distributed charge Q. The rod forms a half-circle with radius R and produces an electric field of magnitude Earc at its center of curvature P. If the arc is collapsed to a point at distance R from P, by what factor is the magnitude of the electric field at P multiplied?
A disk of radius 1.5 cm has a surface charge density of 5.8 μC/m2 on its upper face. What is the magnitude of the electric field produced by the disk at a point on its central axis at distance z = 12 cm from the disk? __________N/C (please include units in your solutions so that I can follow it easier)
As shown in the figure, inner radius R1 outer radius R2homogeneously distributed over the metal sphere shell, total positiveelectric charge is given as + 4?. If in the center of the sphere shellThere is a point electrical charge with a total amount of 2?.Answer the following questions using the Gaussian flux law. a) Find the electric field strength in the region r <1. b) Find the electric field strength in the region 1 <r <?2. ) c) Find the electric field strength in the region r> ?2. d) Express the electric field strengths you find as vectors.
A flat square sheet of thin aluminum foil, 40 cm on a side, carries a uniformly distributed 355 nC charge. What, approximately, is the electric field 1.0 cm above the center of the sheet? Express your answer using two significant figures. E1=______ N/C
Now suppose the cube and the charged ball setup is brought near an infinite charged plane. The lower face of the cube is parallel to the plane. If the charge density of the plane is σ=43μC/m2, what are the magnitudes of the electric fields at P and Q now? the magnitude of the electric field at points P ?
The electric field at a distance of 0.157 m from the surface of a solid insulating sphere with radius 0.361 m is 1730 N/C. Part A Assuming the sphere's charge is uniformly distributed, what is the charge density inside it? Part B Calculate the electric field inside the sphere at a distance of 0.214 mfrom the center.
A uniform spherical charge distribution has radius R. Which of the following is true of the electric field strength due to the charge distribution at a distance r from the center of the charge? a) It is directly proportional to r when r>R b) It is directly proportional to r when r<RI've been told that the answer is b, but I'm not entirely sure what logic or formulas were used to reach this conclusion.
Express answer/s in mks (SI) . Draw diagram whenever necessary The electric field intensity 2m from the surface of a charged sphere is 30.86 x103 N/C. The charge densityat the surface of the sphere is 8.85 x 19‒7 coul/m2. What is the radius of the sphere ?• Hint: The Gaussian surface area of the big sphere of radius, r + 2 is : A = 4π (r +2 )2 Ans. r = 2.5 m
If a solid insulating sphere of radius 50 cm carries a total charge of 150 µC uniformly distributedthroughout its volume, what is its a) volume charge density? What is the magnitude of the electricfield at b) 10 cm and c) 65 cm from the center of the sphere.