17. An infinitely long line charge having a uniform chargeunit length A lies a distance d from point O aspershown in Figure P24.17. Determine the total electricflux through the surface of a sphere of radius R cen-Figure P24.17

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Answered: 17. An infinitely long line charge…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter24: Electric Fields

Section: Chapter Questions

Problem 64PQ

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aA plastic rod of length = 24.0 cm is uniformly charged with a total charge of +12.0 C. The rod is formed into a semicircle with its center at the origin of the xy plane (Fig. P24.34). What are the magnitude and direction of the electric field at the origin? Figure P24.34
Figure P25.33 shows a very long, thick rod with radius R, uniformly charged throughout. Find an expression for the electric Field inside the rod (r R). Use Equation 25.13, E=120=1rr to check your solution at the surface, where r = R. Figure P25.33
Two infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P24.56. The sheet on the left has a uniform sur- face charge density σ, and the one on the right has a uniform charge density -σ. Calculate the electric field at points (a) to the left of, (b) in between, and (c) to the right of the Figure P24.56 two sheets. (d) What If? Find the electric fields in all three regions if both sheets have positive uniform surface charge densities of value σ.
A uniformly charged disk sit in the yz-plane with its center at the origin. It has radius 2.5 cm and carries a total charge of 4.0 x 10 -12 C. What is the magnitude of the electricfield on the x-axis of the disk at the disk at distance x = 0.2 cm?What is the direction of the eletric field on the axis of the disk at x = 0.2 cm? (to the center or from the center)Is the magnitude of the electric field at x= 0.2 cm larger or smaller thant the electric field at 0.2 cm from an infinite sheet of charge with the same charge per unit area as the disk?What is the percent difference between the electric field produced by the finite disk and by an infinite sheet with the same charge per unit area at x = 0.4 cm?
A positively charged rod of length L = 0.250 m with linear charge density λ = 2.33 mC/m lies along the x axis (Fig. P24.23). Find the electric field at the position P a distance 0.375 m away from the origin.
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.
The square conducting sheet −2≤ x ≤2,−2≤ y ≤2,z=0 plane has a charge density12|y|mC/m2. Determine the total charge on the plate and the electric field intensity at(0,0,10)
A homogeneously charged thin rod is bent to become part of a circle of radius R. spring If the viewing angle is A and the linear charge density is P, what is the electric field at the center of the circle? A) E= (24KP/R)sin(A/2) B) E= (2kp/R)sin(A) C) E= (2Kp/R)sin(A/2) D) E= (2KPR)sin(A/2) E) E= (2KP/R)sin(2A)
A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and outer radii are b and e as shown in Figure P24.45. We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r a. (b) From this value, find the magnitude of the electric field for r a. (c) What charge is contained within a sphere of radius r when a r b? (d) From this value, find the magnitude of the electric field for r when a r b. (e) Now consider r when b r c. What is the magnitude of the electric field for this range of values of r? (f) From this value, what must be the charge on the inner surface of the hollow sphere? (g) From part (f), what must be the charge on the outer surface of the hollow sphere? (h) Consider the three spherical surfaces of radii a, b, and c. Which of these surfaces has the largest magnitude of surface charge density? Figure P24.45 Problems 43 and 47.
A solid insulating sphere of radius a = 5.00 cm carries a net positive charge of Q = 3.00 C uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b = 10.0 cm and outer radius c = 15.0 cm as shown in Figure P24.54, having net charge q = 1.00 C Prepare a graph of the magnitude of the electric field due to this configuration versus r for O r 25.0 cm.
Assume the magnitude of the electric field on each face of the cube of edge L = 1.00 m in Figure P23.32 is uniform and the directions of the fields on each face are as indicated. Find (a) the net electric flux through the cube and (b) the net charge inside the cube. (c) Could the net charge he a single point charge? Figure P23.32
Two very long, thin, charged rods lie in the same plane (Fig. P25.30). One rod is positively charged with charge per unit length +, and the other is negatively charged with charge per unit length . The perpendicular distance between the rods is R. Using the coordinate system shown in the figure, sketch the electric field as a function of r from R to +2R. FIGURE P25.30

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17. An infinitely long line charge having a uniform charge unit length A lies a distance d from point O as per shown in Figure P24.17. Determine the total electric flux through the surface of a sphere of radius R cen- Figure P24.17