14. (II) A sphere of radius R has a uniform charge density p C/ m³ except for a spherical cavity of radius a as shown in Fig. 24.30. (a) Show that the field within the cavity is uniform. (Hint: The field at any point within the cavity is the sum of the field due to a sphere of radius R and a sphere of radius a with charge density -p C/m³.) (b) What is the magnitude and direction of the field within the cavity?

14. (II) A sphere of radius R has a uniform charge density p C/ m³ except for a spherical cavity of radius a as shown in Fig. 24.30. (a) Show that the field within the cavity is uniform. (Hint: The field at any point within the cavity is the sum of the field due to a sphere of radius R and a sphere of radius a with charge density -p C/m³.) (b) What is the magnitude and direction of the field within the cavity?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

An infinite line of charge produces a field of magnitude 4.7 x 104 N/C at a distance of 1.6 m. Calculate the linear charge density. Number Units
A distance of 2R separates two small spherical charges, Q1, and -Q1. The magnitude of the electric field exactly halfway between the charges is, 1 Q1 4ne, R2 Q1 4ne, 2R2 Q1 4TE, (2 • R)² 1 Q1 4nE, R2 Can not determined.
Some possibly useful numbers = 8.99 x 10° N-m²/C² €0 = 8.85 × 10-12C²/Nm² e = 1.6 × 10–19 C = 9.11 × 10-31kg mp = 1.67 x 10–27kg leV 1.6 x 10-19J %3D
15 20 10 + →15 15 Field strengths in N/C 20 Each electric field is constant over each face of the box. The box contains Positive charge. O Negative charge. O No net charge. O Not enough information to tell.
9. A charge "Q" is distributed over a rectangle of width "w and length L" The charged rectangle is centered at the origin ef a X-Y cooedinate system. Answer the first 3 steps of Gilbert's eight-fold way to help write the integral for the x and y compoaents of the E field at a distance d2 w/2| along the x-axis OStep thation Choose what is correct for Step 1, Step 2 and Step 3 a. Step 3, dA-Rcdodz c. Step 2 Cylindrical (Rc, , 2) e. Step 3, dA-Rssin(@)*dodidRs gStep 2, Cartesian (xy2) b. Step 3, dA-dudy d. Step I Surface charge density, dQ-odA f. Step 3, dA-Rssin(erdede h. Step I Volume charge density, dQ pdV Step 2. Spherical (Rs,8.p)) Y 1 Step 3. dV-RetdodzdRe n. Step I Linear charge density, dQ-dl i Step 3, dl -Rc*do k. Step 3, dl dx m. Step 3, dV-dudydz
78 4.5 K/s l o 19:56 A small mass charged sphere (q= 3 µC ) is attached by an insulating string to the surface of a very large conductor with a surface charge density of o = 46.6 µC. Given that the string makes an angle with the surface equal to 30 degrees, find the tension ( in N) in the string. use ɛo = 8.8542x10-12 F:m¯1. + String + + Select one: А. 47.36 В. 15.79 С. 31.58 D. 62.39 E. 18.23
A point charge located at the origin generates an electric field that has the value E = (830 N/C) i + (150 N/C) j at the point (x, y) = (2.50 m, 3.20 m). What is the value of the charge?
An infinite line charge produces a field of 9 x 104 N/C at a distance of 2 cm. Calculate the linear charge density.
5. In below figure, a small, non-conductor ball of mass m =3.0 mg and charge q = 9.0 µC hangs from an insulating thread that makes an angle e charged non- conductor plane. Considering the gravitational force on the ball and assuming the plane extends far vertically and into and out of the page, calculate the area charge density of the plane. Length of string is 120.0 cm. 30° with a vertical, uniformly lo120cm + Jplone
Complete solution please. An isolated charged point particle produces an electric field with magnitude E at a point 2m away from the charge. A point at which the field magnitude is E/4 is: • 2m • 4m • 8m • 1/4
1. Two point sources, one with a charge of -3 nC and the other +9 nC, are placed 3m apart as shown below. A third charge is placed at point P, 4 m to the right of the -3nC source. -3nC 3 m 4 m +9 nC *P a) Find the magnitude and direction of the net field at point P. b) Find a location where the net field is zero (if the negative source is at (0,0) what are the coordinates of this point?) Add it to the diagram and label it O. c) Find the approximate field at a test point M that is 1 km (1000 m) to the right of P d) By what factor will the magnitude of the field change if you move M from 1 km to 3 km away? e) Find the magnitude and direction of the force on each of -1pC test charges placed at M, O, and P.
A spherical conductor, of radius a = , carries a charge Q = 132 T€0 µC. It is 2 mm surrounded by linear dielectric material of permittivity e = 4 €0, out to radius b = 8 mm , The electric field at a point 14 mm away from the center of the spherical conductor is : а. 2.36 b. 0.04 c. 0.17 d. 0.59 е. 0.00