Problem 1: A line oriented along the x axis from x = -L to x L, carries a uniform line charge density Pi. Find the electric field at point (0,0, z) using Coulomb's law. du и udu 1 Hint: I (u² + a²)3/2 a²Vu² + a² ' and J (u? + a²)³/2 Vu² + a² °

Problem 1: A line oriented along the x axis from x = -L to x L, carries a uniform line charge density Pi. Find the electric field at point (0,0, z) using Coulomb's law. du и udu 1 Hint: I (u² + a²)3/2 a²Vu² + a² ' and J (u? + a²)³/2 Vu² + a² °

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

The figure shows a closed Gaussian surface in the shape of a cube of edge length 2.50 m. It lies in a region where the electric field is given by E = (1.60x +3.08)i +7.77 +5.70 kN/C, with x in meters. What is the net charge contained by the cube? Number i 1.2e-10 Units C x
+X, to positive infinity. The line carries positive charge with a uniform linear charge density Ao. A continuous line of charge lies along the x axis, extending from x = (a) What is the magnitude of the electric field at the origin? (Use the following as necessary: 1o, xo, and ke.) 0. %3D (b) What is the direction of the electric field at the origin? O +X +y O -z
a wire of length L=9.6 m, lies a long the x axis with its left end at the origin of th xy-plane as shown in the figure . The wire caries a linear charge density 160 nC/m. The magnitude of the X-components of the electric field in N/C at point :P(x=9.6,y=5.6) equals Hint: ſdx (b-x)/[{b-x) 2 +a²]1.5 =1/[(b- . x)2 +a²jò.5 %3D P. a
A conducting spherical shell of radius R carries charge Q. Find the magnitude of the electric field atr = +- O a. E = 2neR Ob. E-0 E 49 O d. E 20 左一2
An 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 = -0.15 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. A) What is the new surface charge density, in microcoulombs per square meter, on the inner surface of the cylindrical shell? B) What is the new surface charge density, in microcoulombs per square meter, on the outer surface of the cylindrical shell? 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.
A long silver rod of radius 5 cm has a charge of -4 µC/cm on its surface. (a) Find the electric field (in N/C in the f direction) at a point 15 cm from the center of the rod (an outside point). X N/C î
The figure below shows a solid conducting sphere with radius R = 6.0 cm that carries a surface charge density of 9.00 µC All the m2 charges lie on the surface of the conductor. What is the electric field at a distance r = 5.0 cm from the center of the conducting sphere? (E0 = 8.854 x 10-12 C?/N-m2) -R-> メ O 1.5 x 1012 N/C O 1.5 kN/C 00 O none of the given choices O 1.5 x 106 N/C メメ

ed ver The figure shows two concentric spherical shells with radii ₁ = 15.8 cm and r2 = 63.2 cm and uniform charge densities 0₁ = 227 pC/m² and ₂ = -341 pC/m². Determine the electric field magnitude a distance of 89.3 cm from their center. 01 1 12 IN 02 18.488 margin of error +/- 1%
Charge of uniform surface density 8.11 nC/m2 is distributed over an entire xy plane; charge of uniform surface density 3.03 nC/m² is distributed over the parallel plane defined by z = 2.18 m. Determine the magnitude of the electric field at any point having a z coordinate of (a)1.29 m and (b)3.18 m. (a) Number i Units (b) Number i Units
Q7 (1) (ii) What is the electric field inside a uniformly charge solid sphere with charge density p. E = 0 (x) E = (iii) E (iv) E= 1 2 Tot b Απερ R' 1 pb 38 1 q Απερ ₂.2 None of the other mentioned options
1. (a) The figure shows three circular arcs centered at the origin of a coordinate system. On each arc, the uniformly distributed charge is given in terms of Q = 3.28 µC. The radii are given in terms of R = 91.0 mm. What is the magnitude of the net electric field in N/C at the origin due to the arcs? 3R +9Q -1Q 2R +Q R (b) An electric field given by E = 7.80 i – 7.40(y² + 8.00) j pierces the Gaussian cube of edge length 58.0 cm and positioned as shown in the figure. (The magnitude E is in newtons per coulomb and the position x is in meters.) What is the net electric flux in Nm²/C through the cube? Gaussian surface
An electric dipole is formed from ± 5.0 nC point charges spaced 2.0 mm apart. The dipole is centered at the origin, oriented along the y-axis. What is the electric field strength at point (x,y) = (0cm, 25 mm )?