Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Textbook Question
Chapter 19, Problem 57PCE
Predict/Explain Gaussian surface 1 has twice the area of Gaussian surface 2. Both surfaces enclose the same charge Q. (a) Is the electric flux through surface 1 greater than, less than, or the same as the electric flux through surface 2? (b) Choose the best explanation from among the following:
- I. Gaussian surface 2 is closer to the charge, since it has the smaller area. It follows that it has the greater electric flux.
- II. The two surfaces enclose the same charge, and hence they have the same electric flux.
- III. Electric flux is proportional to area. As a result, Gaussian surface 1 has the greater electric flux.
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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.
2. If the net flux through a gaussian surface is zero, the following four statements could be true. Which of the statements must be true? (There could be more than one correct answers).(a) There are no charges inside the surface. (b) The net charge inside the surface is zero. (c) The electric field is zero everywhere on the surface.(d) The number of electric field lines entering the surface equals the number leaving the surface.
The surface area of Gauss 1 is twice the surface area of Gauss 2. Each surface of Gauss has the same charge Q. Is the flux passing through the surface of Gauss 1 greater, less than or equal to the sum of the fluxes passing through the surface of Gauss 2? Explain!
Chapter 19 Solutions
Physics (5th Edition)
Ch. 19.1 - Enhance Your Understanding (Answers given at the...Ch. 19.2 - Enhance Your Understanding (Answers given at the...Ch. 19.3 - Positive and negative charges of equal magnitude...Ch. 19.4 - Enhance Your Understanding (Answers given at the...Ch. 19.5 - The electric field lines for a system of two...Ch. 19.6 - Two conducting spheres of different radii are...Ch. 19.7 - Four Gaussian surfaces (A, B, C, D) are shown in...Ch. 19 - The fact that the electron has a negative charge...Ch. 19 - Explain why a comb that has been rubbed through...Ch. 19 - Small bits of paper are attracted to an...
Ch. 19 - A charged rod is brought near a suspended object,...Ch. 19 - A charged rod is brought near a suspended object,...Ch. 19 - A point charge +Q is fixed at a height H above the...Ch. 19 - A proton moves in a region of constant electric...Ch. 19 - Describe some of the differences between charging...Ch. 19 - A system consists of two charges of equal...Ch. 19 - The force experienced by charge 1 at point A is...Ch. 19 - Can an electric field exist in a vacuum? Explain.Ch. 19 - Gausss law can tell us how much charge is...Ch. 19 - Predict/Explain An electrically neutral object is...Ch. 19 - (a) Based on the materials listed in Table 19-1,...Ch. 19 - This problem refers to the information given in...Ch. 19 - Find the net charge of a system consisting of (a)...Ch. 19 - Find the total electric charge of 2.5 kg of (a)...Ch. 19 - A container holds a gas consisting of 2.85 moles...Ch. 19 - The Charge on Adhesive Tape When adhesive tape is...Ch. 19 - Four pairs of conducting spheres, all with the...Ch. 19 - A system of 1525 particles, each of which is...Ch. 19 - A charge +q and a charge q are placed at opposite...Ch. 19 - Consider the three electric charges, A, B, and C,...Ch. 19 - Predict/Explain Suppose the charged sphere in...Ch. 19 - At what separation is the electrostatic force...Ch. 19 - How much equal charge should be placed on the...Ch. 19 - Predict/Calculate Two point charges, the first...Ch. 19 - When two identical ions are separated by a...Ch. 19 - Given that q = +18 C and d = 21 cm, find the...Ch. 19 - Five point charges, q1 = +q, q2 = +2q q3 = 3q, q4...Ch. 19 - Three charges, q1 = +q, q2 = q, and q3 = +q, are...Ch. 19 - The attractive electrostatic force between the...Ch. 19 - Prob. 21PCECh. 19 - A sphere of radius 4.22 cm and uniform surface...Ch. 19 - Predict/Calculate Given that q = +12 C and d = 19...Ch. 19 - Suppose the charge q2 in Figure 19-38 can be moved...Ch. 19 - A point charge q = 0.55 nC is fixed at the origin....Ch. 19 - A point charge q = 0.55 nC is fixed at the origin....Ch. 19 - Find the direction and magnitude of the net...Ch. 19 - Predict/Calculate (a) Find the direction and...Ch. 19 - Predict/Calculate Two point charges lie on the x...Ch. 19 - A system consists of two positive point charges,...Ch. 19 - Predict/Calculate The point charges in Figure...Ch. 19 - Referring to the previous problem, suppose that...Ch. 19 - Predict/Calculate (a) If the nucleus in Example...Ch. 19 - Four point charges are located at the corners of a...Ch. 19 - Predict/Calculate Two identical point charges in...Ch. 19 - Two spheres with uniform surface charge density,...Ch. 19 - Point charges, q1 and q2 are placed on the x axis,...Ch. 19 - Two electric charges are separated by a finite...Ch. 19 - What is the magnitude of the electric field...Ch. 19 - A +5.0-C charge experiences a 0.64-N force in the...Ch. 19 - Two point charges lie on the x axis. A charge of...Ch. 19 - Two point charges lie on the x axis. A charge of...Ch. 19 - The electric field on the dashed line in Figure...Ch. 19 - An object with a charge of 2.1 C and a mass of...Ch. 19 - Predict/Calculate Figure 19-42 shows a system...Ch. 19 - Two point charges of equal magnitude are 8.3 cm...Ch. 19 - Predict/Calculate A point charge q = +4.7 C is...Ch. 19 - Predict/Calculate Four point charges, each of...Ch. 19 - The electric field at the point x = 5.00 cm and y...Ch. 19 - Predict/Calculate The electric field lines...Ch. 19 - Referring to Figure 19-43, suppose q2 is not...Ch. 19 - The electric field lines surrounding three charges...Ch. 19 - Make a qualitative sketch of the electric field...Ch. 19 - Sketch the electric field lines for the system of...Ch. 19 - Sketch the electric field lines for the system of...Ch. 19 - Suppose the magnitude of the electric field...Ch. 19 - Predict/Explain Gaussian surface 1 has twice the...Ch. 19 - Suppose the conducting shell in Figure 19-33which...Ch. 19 - Rank the Gaussian surfaces shown in Figure 19-45...Ch. 19 - A uniform electric field of magnitude 35,000 N/C...Ch. 19 - Prob. 61PCECh. 19 - A surface encloses the charges q1 = 3.2 C, q2 =...Ch. 19 - BIO Nerve Cells Nerve cells are long, thin...Ch. 19 - The electric flux through each of the six sides of...Ch. 19 - Consider a spherical Gaussian surface and three...Ch. 19 - The surface charge per area on the outside of a...Ch. 19 - Photovoltaic Field Suppose the field in the...Ch. 19 - A thin wire of infinite extent has a charge per...Ch. 19 - CE Predict/Explain An electron and a proton are...Ch. 19 - CE Predict/Explain In Conceptual Example 19-9,...Ch. 19 - CE Under normal conditions, the electric field at...Ch. 19 - A proton is released from rest in a uniform...Ch. 19 - BIO Ventricular Fibrillation If a charge of 0.30 C...Ch. 19 - A point charge at the origin of a coordinate...Ch. 19 - Prob. 76GPCh. 19 - The Balloon and Your Hair Suppose 7.5 1010...Ch. 19 - The Balloon and the Wall When a charged balloon...Ch. 19 - CE Four lightweight, plastic spheres, labeled A,...Ch. 19 - Find (a) the direction and (b) the magnitude of...Ch. 19 - A small object of mass 0.0150 kg and charge 3.1 C...Ch. 19 - The electric field at a radial distance of 47.7 cm...Ch. 19 - Predict/Calculate Three charges are placed at the...Ch. 19 - Predict/Calculate BIO Cell Membranes The cell...Ch. 19 - A square with sides of length L has a point charge...Ch. 19 - Two small plastic balls hang from threads of...Ch. 19 - A small sphere with a charge of +2.44 C is...Ch. 19 - Twelve identical point charges q are equally...Ch. 19 - BIO Nerve Impulses When a nerve impulse propagates...Ch. 19 - Predict/Calculate The Electric Field of the Earth...Ch. 19 - An object of mass m = 2.5 g and charge Q = +42C is...Ch. 19 - Four identical charges, +Q occupy the corners of a...Ch. 19 - Two charges, +q and q, occupy two corners of an...Ch. 19 - Figure 19-52 shows an electron entering a...Ch. 19 - Two identical conducting spheres are separated by...Ch. 19 - Have you ever pulled clothes from a dryer only to...Ch. 19 - Have you ever pulled clothes from a dryer only to...Ch. 19 - The force required to detach a grain of pollen...Ch. 19 - Pollen of the lisianthus plant requires a force 10...Ch. 19 - Predict/Calculate Referring to Example 19-14...Ch. 19 - Predict/Calculate Referring to Example 19-14 In...Ch. 19 - Predict/Calculate Referring to Example 19-16 The...Ch. 19 - Referring to Example 19-16 Suppose the magnitude...
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