2. (1) A circular ring of radius R has a linear charge density C/m; see Fig. 23.48. (a) What is the field strength along the axis at a distance x from the center? (b) For what value of x is the field a maximum? (c) How should the field strength vary for x >> R? Verify that your function meets this crite- rion. (d) Sketch qualitatively the field strength as a function of x. R FIGURE 23.47 Problem 2.

2. (1) A circular ring of radius R has a linear charge density C/m; see Fig. 23.48. (a) What is the field strength along the axis at a distance x from the center? (b) For what value of x is the field a maximum? (c) How should the field strength vary for x >> R? Verify that your function meets this crite- rion. (d) Sketch qualitatively the field strength as a function of x. R FIGURE 23.47 Problem 2.

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter15: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 53P: Suppose the conducting spherical shell of Figure 15.29 carries a charge of 3.00 nC and that a charge...

See similar textbooks

Similar questions

Examine the summary on page 780. Why are conductors and charged sources with linear symmetry, spherical symmetry, and planar symmetry categorized as special cases rather than major concepts or underlying principles?
Find the electnc field intensity at the point P(8,4,4) due to a uniform line charge lying along the x-axis and extending from (6) to + (-6)?
A non-conducting sphere of radius R = 7.0 cm carries a charge Q = 4.0 mC distributed uniformly throughout its volume. At what distance, measured from the center of the sphere, does the electric field reach a value equal to half its maximum value?
A uniformly charged solid spherical insulator has a radius of 0.25 m. The total charge in the volume is 3.5 pC. Find the E-field at the position of 0.14 m from the center of the sphere.
On a cylindrical surface of radius R(10cm) and length I (I>>R) s some charge is uniformly distributed with density (10^-4 C/m^2). The cylinder rotates with constant angular velocity, w ( 600 rad/s), about its axis. calculate B at all points inside the cylinder using ampere's law.
Charge is distributed uniformly over the plane z = 7 cm with a density ρs = -(1/3π) nC/m^2. find 1-E at z= 10.5 cm ? 2- E at z= 10.5 cm ?
Show that the D field due to a point charge has a divergence of zero
A positive charge q = 7.81 μC is spread uniformly along a thin nonconducting rod of lengthL = 15.4 cm. What are the (a) magnitude and (b) direction (relative to the positive directionof the x axis) of the electric field produced at point P, at distance R = 6.00 cm from the rod along itsperpendicular bisector?
A uniform charge of 16.0 mC is on a thin circular ring lying in an xy plane and centered on the origin.The ring’s radius is 3.00 cm. If point A is at the origin and point B is on the z axis at z = 4.00 cm, what is VB - VA?
The dome of a Van de Graaffgenerator receives a charge of 2.0 × 10−4 C. Find the strength of the electric field (a) inside the dome, (b) at the surface of the dome, assuming it has a radius of 1.0 m, and (c) 4.0 m from the center of the dome. Hint: See Section 15.6 to review properties of conductors in electrostatic equilibrium. Also, note that the points on the surface are outside a spherically symmetric charge distribution; the total charge may be considered to be located at the center of the sphere.
The field due to two parallel plates, the left with a negative surface charge density of −6.0 C/m2 whilethe sheet on the right has a positive surface charge density of +9.0 C/m2is given below. Suppose the plates were spaced 0.0020 m apart. We found that, using Gauss’s law that, independent of this distance, • In I the net field points to the left and has magnitude |Enet| = 1.69 × 1011 N/C.• In region II, between the plates, the field has magnitude 8.47×1011 N/C and points to the left• In III it points to the right and has magnitude |Enet| = 1.69 × 1011 N/C.
Find the electric field (magnitude and direction) a distance z above the center of a circular loop or radius r that carries a uniform line charge lambda.