a) (i) (ii) Explain how you would apply Gauss's law in its integral form to determine the free charge on an arbitrarily shaped metal surface. Describe the two most useful Gaussian surfaces. Where are they used and what differences must be accounted for when applying them?

a) (i) (ii) Explain how you would apply Gauss's law in its integral form to determine the free charge on an arbitrarily shaped metal surface. Describe the two most useful Gaussian surfaces. Where are they used and what differences must be accounted for when applying them?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 68PQ: Examine the summary on page 780. Why are conductors and charged sources with linear symmetry,...

See similar textbooks

Related questions

Q: dzaz. The differential displacement in the cartesian coordinate system dl=dxax + dyay+ True False

Q: Observer S detects two flashes of light. A big flash occurs at x₁ = 1269 m and, slightly later, a…

Q: Determine Q and the angle ¹0.

Q: ★★ To reduce the 120. V AC voltage to 12.0 V AC to operate a standard doorbell, a step-down…

Q: 1.38) To move the oil drum, the resultant of the three forces shown must have a magnitude 500N. of…

Q: An object is placed at an object distance half the magnitude of the focal length of a converging…

Q: You will be defining a new temperature scale in X in which the freezing and boiling points of water…

A: Heat is just energy in transit. When it is not moving it is thermal energy. To get an idea of this…

Q: scientist is busy at work in his lab trying to calculate potential differences. He observes a charge…

Q: Suppose insulated wire of length 5.81 m is coiled into a 0.0140-m radius solenoid of length 0.0620…

Q: A long straight wire carrying a 3.1 A current what would be the magnitude of the magnetic field at a…

Q: Two small objects each with a net charge of +Q exert a force of magnitude F on each other. F O 16 F…

Q: A virtual image is produced by a concave mirror as well as by a convex mirror. How would you know if…

A: Given, Concave and convex mirror

Q: A 177 g mass is hanging on a 11 cm long massless spring of spring constant 20.3 N/m. What would be…

A: Solution: Given: 1 kg = 1000 g m = mass attached to spring = 177 g = 0.177 kg k = spring constant of…

Q: Light with a vertical polarization and an intensity of 0.65 W/m2 goes through a polarizer having a…

A: Where I0 is intensity of incidence light

Q: An object is placed at an object distance three times the magnitude of the focal length of a…

Q: You want to reduce your carbon footprint on the next Yuletide season, and so you plan to re-use the…

Q: In the figure the current in resistance 6 is i6 = 1.38 A and the resistances are R₁ = R₂ = R3 =…

Q: n Dexter’s lab, he pours 1.65kg of molten gold at 1063°C into a 1.30kg iron cauldron filled with…

Q: In the figure below, q1 = +1.00 nC and q2 = +9.00 nC. At what position is the net electric field due…

Q: An Atwood's machine is a simply two masses connected by a string that runs over a pulley, so that…

Q: A wire 2.22 m long carries a current of 11.2 A and makes an angle of 49.2° with a uniform magnetic…

A: Given:Length of the wire, l = 2.22 mcurrent through the wire, I = 11.2 AMagnitude of magnetic field,…

Q: The same 2.0 kg box is then pulled up a 30° inclined surface, at constant velocity, by a 12.0N…

Q: *1.38 To move the oil drum, the resultant of the three forces shown must have a magnitude of 500 N.…

Q: 8. Find the work done on a lagage of 50 kg. pulled by a string elevated at 45 degrees by a force of…

A: Given: The mass of the object is 50 kg. The applied force is 100 N. The angle between force and…

Q: The total mechanical energy of the block is the sum of kinetic and potential energies.

Q: what aspect of light is reacting to gravity: is it the wave or particle aspect, or both?

A: Q what aspect of light is reacting to gravity: is it the wave or particle aspect, or both?

Q: A diverging lens forms an image at 12.3 cm in front of the lens when an object is placed at 33.6 cm…

A: Given data, Distance of image v=-12.3 cm Distance of object u=33.6 cm

Q: NEEP ASAP

Q: Find the requested quantities of a photon involved in the following hydrogen electron transitions.…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A certain brand of hotdog cooker works by applying a potential difference of 132 V across opposite…

Q: Two positive charges, q₁ = 8.50 nC, q2 = 3.50 nC are separated by a distance of s = 20.0 cm as shown…

Q: Draw three sheets of polarizing material showing their orientations of transmission axes. The first,…

Q: A straight conductor carrying a current i = 7.9 A splits into identical semicircular arcs as shown…

A: b-6 Given: The current in each wire is 7.9 A. The radius of the loop is 1 cm.

Q: Following equation shows the wave traveling to the right. What would be the speed of the wave? y =…

A: Solution: Given: Given the wave equation: y = 1.2 cm cos((18.3 rad/s) t - (31.6 m-1) x) v = speed of…

Q: leased. During the launching, the airplane engine exerts a constant horizontal force of 2,000 lbs.…

Q: The pulley shown in the figure below is subjected to the belt forces P and Q. Using rectangular…

Q: Xavier has been given the following diagram by his teacher, ms benedict. Ms benedict wants him to…

Q: In the figure, q1 = +2.00 nC and q2 = -8.00 nC. What is the electric potential at x = 5.00 cm due to…

Q: An object is placed at a distance of 15.0 cm from a diverging lens of focal length 30.0 cm. Which of…

A: Given: The distnce of the object from the lens is 15 cm. The focal length of the diverging lens is…

Q: How much heat is absorbed by 100 g of ice at -10⁰C to become water at 20⁰C?

Q: Q₁ Q₂ Two charges -0.9 nC and -0.9 nC are 11 cm apart. If the marked position is 3 cm from -0.9 nC…

A: given data; Q1 = -0.9nC Q2 = -0.9nC distance between two points = 11cm distance of marked position…

Q: A spring with spring constant 50 N/m is hanged from a vertical ceiling. It is then pulled by 30 cm…

A: Speed of the mass is not maximum at the amplitude as its speed have to be zero at the end points.…

Q: In the figure R₁ = 89.00, R₂ R3 = 48.00, R4 = 69.70, and the ideal battery has emf & = 6.00 V. (a)…

Q: Consider charges –q and +q, with closed surfaces A, B, C and D as shown. Which of these surfaces has…

A: Given: from the given diagram. The charge enclosed by surface A is +q. The charge enclosed by…

Q: What is a mechanical wave? What does a wave do? Based on their motions waves can be classified as…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A horizontal hose pipe is lying on the ground and it contains water at a pressure of 110 x10' Pa…

Q: A 10,000-lb airplane is launched from a catapult. The spring of the catapult (ks = 150 lb/in) is…

A: Solution: Given: 1 ft = 12 in m = mass of airplane = 10000 lb k = spring constant of catapult = 150…

Q: White light is incident at near normal on a thin film of thickness 542 nm and index of refraction n…

Q: A 0.281-kg coffee mug is made from a material that has a specific heat capacity of 943 J/kg Cº and…

A: we will be simply using the concept of calorimetry to solve this problem which is basically the…

Q: What are the (a) magnitude and (b) direction (into or out of the page) of the current in wire 2

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) (i)
(ii)
Explain how you would apply Gauss's law in its integral form
to determine the free charge on an arbitrarily shaped metal
surface.
Describe the two most useful Gaussian surfaces. Where are
they used and what differences must be accounted for when
applying them?

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 2 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

This problem references the second type of application of Gauss’s law, locating charges on conductors.We may still be working on this a bit on Monday, and if so, either put this one off until then or viewthe video I posted on the topic.Two spherical, hollow conductors are concentrically nested as shown in the cross-sectional diagrambelow and electrically isolated from each other. A net charge of -3 nC is divided between theconductors, with a total of -12 nC on the inner conductor and +9 nC on the outer one. The charges are, of course, free to move between the surfaces within each shell but cannot move from one shell tothe other. The inner conductor has an inner radius of a=2 cm, outer radius of b=3 cm. The outerconductor has an inner radius of c=6 cm, an outer radius of d=8 cm.
Find the ratio of q/Q for the E-field to be zero at adistance of z = 3.20R for the charge distributionand geometry of problem #30 of the text. a isthe charge on the LARGER ring. Q is the chargeon the SMALLER ring. Answer in 5 Significant Figures!!
Find the ratio of q/Q for the E-field to be zero at adistance of z = 3.52R for the charge distributionand geometry of problem #30 of the text. a isthe charge on the LARGER ring. Q is the chargeon the SMALLER ring.
please solve question 6, A solid insulating sphere of radius a carioste positive charge Q. A conducting spherical shell on inner radius band outere carriesa net charge 50. The charge on the Inner surface of the shell is:
Gauss’s law also helps us locate charge on conductors. There are several distinct pieces we need forthis, listed below. Explain briefly why is each of them true.(a) The electric field inside a conductor (in the conducting material) is zero if the conductor is instatic equilibrium (charges are not moving or at least not accelerating.)(b) The total charge on an isolated conductor (or, really, any object) is constant.(c) The net charge on the wall of a cavity in a conductor is equal to the opposite of the total chargethat is floating inside the cavity.(d) Any excess charge on a conductor is all at the surfaces - including both the outer surface of theconductor and any inner surfaces of cavities - but never in the material.(e) The charge on the outer surface of a conductor is equal to the total charge on the conductorand inside any cavities in it.
find the value of the net charge on the outer surface of the conductor as it reaches the electrostatic equilbrium considering the spherical metallic object has a hole inside which holds a net charge of 55 nC; the hole is initially charge-free. Then a particle with a charge of 30 nC is placed at the center of the hole (assuming that it is held by a perfect non-polarizable insulating material).
Problem 1: A spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If points A and B are 15 cm and 5 cm from the center of the conductor, respectively. If a test charge, q = 25mC, is to be moved from A to B, determine the following: What isThe work done in moving the test charge;
help with the following and make sure its correct 100% before uploading pls and thank you ( also the ans of 12.66 m was wrong) Q: A point charge -5 q� is held fixed at the origin, and a second charge +q� is held fixed at x� = 8.0 mm. Where is the net electric field of these two charges zero? Express your answer with appropriate units.
Consider a thin sphencal Shell of radeos 14cm with a total Charge of 32 uc distributed. Uniformly on its Surface. Find the electrie ferd. a) o.o cm. b) 20 cm from the in Center of Charge. distribution.?
Use Gauss's Law for the following: A conductor with cavities is shown in cross-section along with some point charges in the hollow spaces inside. The net charge on the conductor itself, qcond, is given below each figure. Determine the amount of charge on the surface, inside and out, and sketch the charge distribution on the surface. (See picture)
2r 3. Suppose that a sphere of radius 2r and uniform volume charge density p is composed of a nonconducting material (charges remain in placec). A cavity of radius r is then carved out as shown above. Show that the net clectric ficld in the positive +â direction (or any direction for that matter) is given by rp 3€0 E :
(a) Use Gauss’s theorem to find the electronic field due to a uniformly charged infinitely large plane thin sheet with surface charge density a. (b) An infinitely large thin plane sheet has a uniform surface charge density +a. Obtain the expression for the amount of work done in bringing a point charge q from infinity to a point, distant r, in front of the charged plane sheet.