Answered: Explain Gauss Law for: Point Charge…

Explain Gauss Law for: Point Charge Inside a Spherical Surface Point Charge Inside a Nonspherical Surface, then explain the general form of Gauss's law.

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 12CQ

See similar textbooks

Related questions

Q: A Gaussian surface with rectangular size has a positive point charge +q at its center, as shown in…

A: We know that when charge is proportional to the flux i.e., according to Gauss's Law-…

Q: Two charged concentric shells have radii 10 cm and 20 cm. The charge on the inner shell is 200 µ?…

A: Given The radius of the inner shell is r1=10 cm. The radius of the outer shell is r2=20 cm. The…

Q: Use Gauss’s Law to prove that the electric field anywhere inside the hollow of a charged spherical…

Q: A ring with outer radius r, and inner radius r. (i.e. a disc with a hole, shown in Figure A) has a…

Q: A cubic box of side a, oriented as shown, contains an unknown charge. The vertically directed…

Q: for the Electric Fields of Distributed Charge An evenly charged wire of length L has a total charge…

A: Here, A rod of length L is given, having a charge Q on it. The rod is located a distance a away from…

Q: A solid metal sphere with a spherical cavity as shown below has a total charge +Q. [IISc. 2007] R…

Q: A Gaussian surface with rectangular size has a positive point charge +q at its center, as shown in…

Q: 1. A point charge is placed at the center of a spherical gaussian surlace. Which of the following…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Explain the electric flux of figure 12a using Gauss Law if there is another positive charge at r/2.

A: Required :: Explanation of the electric flux.…

Q: Using Gauss’s law, derive the expression for the electric field at a point (i) outside and (ii)…

A: Gauss Law of Electrostatics states that for a Gaussian surface that encloses a charge Qenc, the…

Q: solved by using the principle of superposition. the center of the hole? Suggestion: This problem can…

Q: An infinite, uniform, line of charge is on the x-axis. The linear charge density is (lambda), with…

Q: A particle with charge 5.0-µC is placed at the corner of a cube. The total electric flux in N · m2…

A: Given data: Charge on the particle, q=5.0 μC=5×10-6C Radius of solid sphere, R=4.0 cm=0.04 m Volume…

Q: What is the correct answer: Gauss's law a. relates the total electric flux through a closed surface…

Q: A uniform linear charge density of 60 nC/m is distributed along the entire x-axis. Consider a…

Q: What is the electric flux through a sphere of radius 4 m that contains a (a) +50 uC and (b) -50 uC…

A: a) The given charge inside the sphere is +50 µC. The required electric flux through the given sphere…

Q: A Gaussian surface with rectangular size has a positive point charge +q at its center, as shown in…

A: According to Gauss law, the total electric flux through any surface that completely surrounds the…

Q: A metal sphere of radius ra has a charge Q1. There is a concentric metal spherical shell of inner…

A: According to Gauss's law electric flux linked with Gaussian surface is 1/ε₀ charge enclosed.

Q: A point charge of charge +Q is at the center of a spherical shell of charge with charge -3Q. The…

Q: An infinite, uniform, line of charge is on the x-axis. The linear charge density is (lambda), with…

A: As per our guidelines, only first three sub-parts of a multi-part question are answered. If specific…

Q: An infinite plate sheet of charge of surface charge density o is shown below. What is the electric…

Q: Two infinite, nonconducting sheets of charge are parallel to each other as shown in figure. The…

Q: Consider a uniform line charge along the y axis from: -aŷ → +bŷ . Calculate the electric field for…

Q: Two thin hollow concentric spheres are shown below. The inner sphere, S1, has a radius of R1 and a…

Q: 1. Consider a long line of charge, with uniform positive charge per unit length A. persoective view…

A: Gauss's law∮E→.dA→=qenc∈0 For infinite line of charge qenc=lλ

Q: A Gaussian surface contains a single charge within it, and as a result an electric flux passes…

A: According to Gauss's law of electrostatics, Electrostatic flux through a closed surface S is given…

Q: Using Gauss Law find the magnitude of electrical field in the region r>c.

Q: Imagine a point charge is place outside of the spherical Gaussian surface labelled 4 in the figure.…

Q: The Electric Flux and Gauss’ Law A charged paint is spread in a very thin uniform layer over the…

A: Given- Diameter of sphere (d) = 12 cm Radius of sphere (r) = 6 cm = 0.06 m Charge (q) = -35 μC =…

Q: Find the electric field everywhere of an infinite uniform line charge with total charge Q. Sol.…

A: Recall Gauss's law ∮E→.dA→=qenc/∈0

Q: Gauss's Law problem: An infinite, uniform, line of charge is on the x-axis. The linear charge…

A: From Gauss law,

Q: D3.4. Calculate the total electric flux leaving the cubical surface formed by the six planes x, y, z…

A: a) By applying the Gauss theorem, we know that total flux coming out or going into a closed surface…

Q: Question Details Example 24.8A Nonconducting Plane Sheet of Charge Problem Find the electric field…

Q: Homework Use the Gaussian theorem to calculate the total charge inside a cube of side length 2m with…

Q: Find the electric field for (a) r c

Q: A thin spherical shell of radius R1, carries a total charge Q1 that is uni- formly distributed on…

A: a ) In the regions r < R₁ charge q inside sphere of radius R₁ = 0 Applying gauss's law for…

Q: If the electric field pattern is known in a given region, what can we determine about the charge…

A: The concept of an electric field arose as scientists attempted to explain the action-at-a-distance…

Q: A very long wire carrying charge density λ is surrounded by a very long hollow cylindrical layer…

A: Given : very long wire carrying charge of density lambda.

Q: An infinite, uniform, line of charge is on the x-axis. The linear charge density is (lambda), with…

A: (c) The total charge enclosed by the surface is, The net flux enclosed on the uniform line of…

Q: Explain Gauss Law for: Point Charge Inside a Spherical Surface and Point Charge Inside a No…

A: Flux through closed surface, does not depend on size of closed surface Uniformity or non-uniformity…

Q: Electric flux through a closed surface is not zero then which of the following statements are true?…

A: Given: Electric flux inside the closed surface is not zero.

Q: Discuss the possibility of choosing Gaussian surface other than the sphere. For instance what if you…

Q: Which of the following statements is FALSE? a. Gauss' law states that the net number of lines…

A: Option b is incorrect

Q: Suppose that the charge density of the spherical charge distribution shown in the figures below is…

Q: Example 24.7 A Cylindrically Symmetric Charge Distribution Problem Find the electric field a…

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

Explain Gauss Law for:
Point Charge Inside a Spherical Surface
Point Charge Inside a Nonspherical Surface, then explain the general form of Gauss's law.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

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

What is the correct answer: Gauss's law a. relates the total electric flux through a closed surface with the net electric charge enclosed within the surface. b. implies that in static situations any excess charge on an insulator must lie on its surface. c. is very useful for charge configurations with asymmetry. d. all of the above.
An infinite, uniform, line of charge is on the x-axis. The linear charge density is (lambda), with units of C/m. Find an expression for the electric field at a particular y-value on the y-axis at x=0, using Gauss's Law. Do this problem as if (lambda) is positive -- the answer is valid regardless of the sign. a. Which direction does the electric field point in, at the point. b. Suppose you moved the problem left or right, or rotated the problem about the x-axis. How does the problem change? c. Pick a shape for your Gaussian surface. Since you don't know the value (or expression) for E, you must pick a surface where the electric flux is either EA or zero. (E must be uniform over the surface for EA.) d. Write your expression for the flux, and your expression for the charge inside the surface. e. Solve the Gauss's Law equation for E. f. If (lambda) = 2.5 nC/m, and y = 8 cm, calculate the electric field. g. If a proton is at the point, calculate the force on the proton and its acceleration.
Discuss the possibility of choosing Gaussian surface other than the sphere.For instance what if you choose the cylindrical surface as a Gaussian surface, is it possible to use Gauss’s law in order to calculate the electric fieldof a charged sphere? Explain your answer in detail.
Using Gauss’s law, derive the expression for the electric field at a point (i) outside and (ii) inside a uniformly charged thin spherical shell. Draw a graph showing electric field E as a function of distance from the centre.
Use Gauss’s Law to prove that the electric field anywhere inside the hollow of a charged spherical shell must be zero. Repeat for a charged hollow infinite cylinder.
Use Gauss's Law to find the charge enclosed by the cube with vertices (+/-1, +/-1, +/-1) if the electric field is E(x, y, z) = xi + yj + zk.
An infinite, uniform, line of charge is on the x-axis. The linear charge density is (lambda), with units of C/m. Find an expression for the electric field at aparticular y-value on the y-axis at x=0, using Gauss's Law. Do this problem asif (lambda) is positive -- the answer is valid regardless of the sign. d. Write your expression for the flux, and your expression for the charge inside the surface.
An infinite, uniform, line of charge is on the x-axis. The linear charge density is (lambda), with units of C/m. Find an expression for the electric field at a particular y-value on the y-axis at x=0, using Gauss's Law. Do this problem as if (lambda) is positive -- the answer is valid regardless of the sign. d. Write your expression for the flux, and your expression for the charge inside the surface. e. Solve the Gauss's Law equation for E. f. If (lambda) = 2.5 nC/m, and y = 8 cm, calculate the electric field. g. If a proton is at the point, calculate the force on the proton and its acceleration.
Show that the following expression for the electric field a distance z along the central axis of a thin ring of continuous positive charge is correct. Derive the expression based upon the geometry shown in the diagram below. Let q-total charge of the ring, R=radius of ring. Be sure to state the magnitude and direction of the electric field at the point P.
A ring with outer radius rb and inner radius ra (i.e. a disc with a hole, shown in Figure A) has auniform surface charge density σ.(a) Calculate the electric field at point P at a distance x along the central perpendicular axis ofthe disk.(b) Find the expression for electric field when rb≫ra and rb≫x.
The figure shows three Gaussian surfaces and the electric flux through each. What is the charge on q1, q2, and q3. express your answers as a multiple of q.
Two very long lines of charge are parallel to each other. One with a linear charge density −λ , and the other have the linear charge density +λ, and they are separated by a distance RR as shown in the figure. Calculate the electric field at a point half-way between the lines of charge. r→ is the unit radial vector in the cylindrical coordinate of the line with +λ charge density.