The figure shows a cross section through a very large nonconducting slab of thickness d=9.40 mm and uniform volume charge density r=5.80 fC/m³. The origin of an x axis is at the slab's center. What is the magnitude of the slab's electric field at an x coordinate of (a) 0, (b) 2.00 mm, (c) 4.70 mm, and (d) 26.0 mm? 0 d/2 d. ·x

The figure shows a cross section through a very large nonconducting slab of thickness d=9.40 mm and uniform volume charge density r=5.80 fC/m³. The origin of an x axis is at the slab's center. What is the magnitude of the slab's electric field at an x coordinate of (a) 0, (b) 2.00 mm, (c) 4.70 mm, and (d) 26.0 mm? 0 d/2 d. ·x

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

A hollow non-conducting spherical shell has inner radius R1 = 5 cm and outer radius R2 = 19 cm. A charge Q = -45 nC lies at the center of the shell. The shell carries a spherically symmetric charge density ρ = Ar for R1 < r < R2 that increases linearly with radius, where A = 18 μC/m4. What is the radial electric field at the point r = 2R2? Give your answer in units of kN/C.
A charge of uniform linear density 2.00 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 4.60 cm, outer radius = 10.6 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 15.2 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell?
The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.90 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 11.0R₁ and the (same) length L. The net charge on the rod is Q₁ +3.68 x 10-12 C; that on the shell is Q₂ = -2.30Q₁. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.30R₂? What are (c) E and (d) the direction at r = 5.20R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? (a) Number Units
Note: 1 fC = 1 x 1015 C 2. In the figure a nonconducting rod of length L = 8.21 cm has charge -q = -4.33 fC uniformly distributed along its length. (a) What is the linear charge density of the rod? What are the (b) magnitude and (c) direction (positive angle relative to the positive direction of the x axis) of the electric field produced at point P, at distance a = 13.8 cm from the rod? What is the electric field magnitude produced at distance a = 50 m by (d) a particle of charge -q = -4.33 fC that replaces the rod?
A charge of uniform linear density 2.80 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.80 cm, outer radius = 9.20 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 15.0 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell? Gaussian cylinder Shell Rod (a) (a) Number i Units (b) Number i Units (c) Number i Units
In the figure a sphere, of radius a = 13.2 cm and charge q = 6.00×10-6 C uniformly distributed throughout its volume, is concentric with a spherical conducting shell of inner radius b = 37.0 cm and outer radius c = 39.0 cm . This shell has a net charge of -q. Find expressions for the electric field, as a function of the radius r, within the sphere and the shell (r< a). Evaluate for r=6.6 cm. Find expressions for the electric field as a function of the radius r, between the sphere and the shell (a< r <b). Evaluate for r=25.1 cm. Find expressions for the electric field as a function of the radius r, inside the shell (b< r <c). Evaluate for r=38.0 cm
A charge of uniform linear density 2.00 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 4.20 cm, outer radius = 9.80 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.0 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell?
In Fig. 1, a thin glass rod forms a semicircle of radius r= 10.00 cm. Charge is uniformly distributed along the rod, with q = 20.00 mC in the upper half and q=-20.00 mC in the lower half. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the electric field at P, the center of the semicircle fig.1 +q P -9
A hollow non-conducting spherical shell has inner radius R1 = 9 cm and outer radius R2 = 15 cm. A charge Q = -25 nC lies at the center of the shell. The shell carries a spherically symmetric charge density ρ = Ar for R1 < r < R2 that increases linearly with radius, where A = 17 μC/m4. What is the radial electric field at the point r = 2R2? Give your answer in units of kN/C.
A solid nonconducting sphere of radius R = 16.00 cm has a uniform chargedistribution of volume charge density ?? = ??. ?? pC/m3 from the center to1/2?, and a non-uniform charge distribution of volume charge density ?? =( ??? + ??) pC/m3 from 1/2 ? to R (r is radial distance). What is the magnitudeof the electric field at (a) r = R/3, (b) r = 3R/4 and (c) r = 2R? (d) Draw agraph to show the electric field as a function of r from r = 0 to r = ∞.
A long nonconducting cylinder (radius 6.0 mm) has a nonuniform volume charge density given by ar, where a= 6.2 mC/m' and r is the distance from the axis of the cylinder. What is the magnitude of the electric field at a point 2.0 mm from the axis?
Charge is distributed uniformly throughout the volume of an infinitely long cylinder of radius R = 3.00×10-2 m. The charge density is 4.00×10-2 C/ m3. a)What is the electric field at r = 1.50×10-2 m? b)What is the electric field at r = 6.00×10-2 m?