Concept explainers
A long line carrying a uniform linear charge density +50.0 μC/m runs parallel to and 10.0 cm from the surface of a large, flat plastic sheet that has a uniform surface charge density of −100 μC/m2 on one side. Find the location of all points where an α particle would feel no force due to this arrangement of charged objects.
Want to see the full answer?
Check out a sample textbook solutionChapter 22 Solutions
University Physics with Modern Physics, Books a la Carte Edition; Modified MasteringPhysics with Pearson eText -- ValuePack Access Card -- for ... eText -- Valuepack Access Card (14th Edition)
Additional Science Textbook Solutions
Physics for Scientists and Engineers with Modern Physics
College Physics: A Strategic Approach (3rd Edition)
The Cosmic Perspective
Essential University Physics: Volume 1 (3rd Edition)
The Cosmic Perspective Fundamentals (2nd Edition)
Essential University Physics: Volume 2 (3rd Edition)
- Two solid spheres, both of radius 5 cm, carry identical total charges of 2 C. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume. (i) How do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare? (a) EA EB = 0 (b) EA EB 0 (c) EA = EB 0 (d) 0 EA EB (e) 0 = EA EB (ii) How do the magnitudes of the electric fields they separately create at radius 4 cm compare? Choose from the same possibilities as in part (i).arrow_forwardA solid conducting sphere of radius 2.00 cm has a charge 8.00 μC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a total charge −4.00 μC. Find the electric field at (a) r = 1.00 cm, (b) r = 3.00 cm, (c) r = 4.50 cm, and (d) r = 7.00 cm from the center of this charge configuration.arrow_forwardAn infinite sheet of charge is located in the y-z plane at x = 0 and has uniform charge denisity o1 = 0.62 µC/m². Another infinite sheet of charge with uniform charge density o2 = -0.29 µC/m² is located at x = c = 33 cm.. An uncharged infinite conducting slab is placed halfway in between these sheets ( i.e., between x = 14.5 cm and x = 18.5 cm). d a/2 a/2| a/2 1) What is Ex(P), the x-component of the electric field at point P, located at (x,y) = (7.25 cm, 0)? N/C Submit 2) What is oa, the charge density on the surface of the conducting slab at x = 14.5 cm? | µC/m² Submit 3) What is V(R) - V(P), the potentital difference between point P and point R, located at (x,y) = (7.25 cm, -18.5 cm)? Submit 4) What is V(S) - V(P), the potentital difference between point P and point S, located at (x,y) = (25.75 cm, -18.5 cm)? V submit + 5) What is Ex(T), the x-component of the electric field at point T, located at (x,y) = (40.25 cm, -18.5 cт)? N/C Submit R.arrow_forward
- A charge of uniform linear density 1.90 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell with an inner radius of 6.34 cm and an outer radius of 10.4 cm. If the net charge on the shell is zero, what is the surface charge density on the outer surface of the shell?arrow_forwardAn infinite sheet of charge is located in the y-z plane at x = 0 and has uniform charge denisity o1 = 0.62 µC/m2. Another infinite sheet of charge with uniform charge density o7 = -0.29 µC/m? is located at x = c = 33 cm.. An uncharged infinite conducting slab is placed halfway in between these sheets ( i.e., between x = 14.5 cm and x 3 18.5 сm). a/2 a/2| a/2 1) What is Ex(P), the x-component of the electric field at point P, located at (x,y) = (7.25 cm, 0)? N/C Submit 2) What is oa, the charge density on the surface of the conducting slab at x = 14.5 cm? µC/m? Submit 3) What is V(R) - V(P), the potentital difference between point P and point R, located at (x,y) = (7.25 cm, -18.5 cm)? Submit 4) What is V(S) - V(P), the potentital difference between point P and point S, located at (x,y) = (25.75 cm, -18.5 cm)? Submit + 5) What is Ex(T), the x-component of the electric field at point T, located at (x,y) (40.25 сm, -18.5 ст)? N/C Submitarrow_forwardIn the figure an electron (e) is to be released from rest on the central axis of a uniformly charged disk of radius R. The surface charge density on the disk is +4.04 µC/m². What is the magnitude of the electron's initial acceleration if it is released at a distance (a) R, (b) R/144, and (c) R/1020 from the center of the disk?arrow_forward
- What is the linear charge density of a thin wire bent into a circle (or ring) of radius 6.48 cm if the total charge on the wire is 3.86 µC? Give your answer in μC/m.arrow_forwardIn the figure a small, nonconducting ball of mass m = 1.1 mg and charge q = 2.4 × 10-8 C (distributed uniformly through its volume) hangs from an insulating thread that makes an angle θ = 38° with a vertical, uniformly charged nonconducting sheet (shown in cross section). Considering the gravitational force on the ball and assuming the sheet extends far vertically and into and out of the page, calculate the surface charge density σ of the sheet.arrow_forwardAn infinitely long cylindrical conducting shell of outer radius r1 = 0.10 m and inner radius r2 = 0.08 m initially carries a surface charge density σ = -0.45 μC/m2. A thin wire, with linear charge density λ = 1.1 μC/m, is inserted along the shells' axis. The shell and the wire do not touch and there is no charge exchanged between them. Part (A) What is the new surface charge density, in microcoulombs per square meter, on the inner surface of the cylindrical shell? Part (B) What is the new surface charge density, in microcoulombs per square meter, on the outer surface of the cylindrical shell? Part (C) Enter an expression for the magnitude of the electric field outside the cylinder (r > 0.1 m), in terms of λ, σ, r1, r, and ε0.arrow_forward
- (a) Figure (a) shows a nonconducting rod of length L = 9.00 cm and uniform linear charge density λ = +7.57 pC/m. Take V = 0 at infinity. What is V at point P at distance d = 5.20 cm along the rod's perpendicular bisector? (b) Figure (b) shows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude 7.57 pC/m. With V = 0 at infinity, what is V at P? (a) Number i (b) Number i ·+· -L/2 (a) Units Units L/2 +‡ ‡ ‡+3= L/2 .Р (b) L/2arrow_forwardProblem 14: A 3-D printer lays down a semicircular arc of positively charged plastic with a radius R = 3.5 cm, and a linear charge density of λ = +1.8 μC/m. After the printer has finished the arc, the stylus moves to the center of the arc as shown. The minute segment of the plastic arc highlighted in the diagram subtends an angle dθ. Note the measurement of the angle θ shown in the figure. Part (a) Input a symbolic expression for the charge dq on the segment of charge of size dθ in terms of given parameters. Part (b) Input a symbolic expression for the electric force vector, exerted by the minute segment of plastic subtending the arc dθ on an electron (charge -e), within the stylus at the center of the arc. Express your answer in terms of given parameters, fundamental constants, and the unit vectors i and j in the specified coordinate system. Part (c) Find the indefinite integral of the x-component Fx from part (b), but do not evaluate the limits. Part (d) Select the limits…arrow_forwardCharge of a uniform density (9 pC/m2) is distributed over the entire xy plane. A charge of uniform density (2 pC/m2) is distributed over the parallel plane defined by z = 2.0 m. Determine the magnitude of the electric field for any point with z = 3.0 m.arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning