3. A solid glass sphere of radius a contains excess charge distributed throughout its volume such that the volume charge density depends on the distance r from the sphere's center according to the equation p (t) = p.(r/a) where p, is a constant. (a) What are the units of p ? (b) Compute the total charge Q on the sphere. (c) Determine the magnitude of the electric fjeld for 1) r< a' (ii) r 2 a Write your answers to both (i) and (ii) in terms of Q, a, r, and fundamental constants. (d) Sketch the electric field magnitude E as a function of r on the graph below. Be sure to indicate on the vertical axis the value of E at r = a. E

3. A solid glass sphere of radius a contains excess charge distributed throughout its volume such that the volume charge density depends on the distance r from the sphere's center according to the equation p (t) = p.(r/a) where p, is a constant. (a) What are the units of p ? (b) Compute the total charge Q on the sphere. (c) Determine the magnitude of the electric fjeld for 1) r< a' (ii) r 2 a Write your answers to both (i) and (ii) in terms of Q, a, r, and fundamental constants. (d) Sketch the electric field magnitude E as a function of r on the graph below. Be sure to indicate on the vertical axis the value of E at r = a. E

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

Needs Complete typed solution with 100/% accuracy.
There is a long insulating cylinder of radius R that has a uniform charge density through- out of p. a) Find the electric field at a distance r R c) Sketch the electric field as a function of r.
An Insulating sphere of radius Rhas a non-uniform charge density which is given by p=or. The magnitude of the electric field at point Pis: aR %3D 12c0 What is the distance of the point P from the center of the sphere? a. T= 2R b. T%3= O c. T= d. r3D e. T=
The electric field in the x-y plane is given by Ē = î8x – }4y. Then equation for the lines of force is given by (a) xy = constant (b) xʻy = constant (c) x +y = constant (d) xy = constant [H.C.U.-2015]
Self-Paced Problem 1: Human nerve cells have a net negative charge and the material in the interior of the cell is a good conductor. If a cell has a net charge of -7.52 pC, a. what are the magnitude and direction (inward or outward) of the net flux through the cell boundary? b. what is the volume charge density passing through the cell? Assume that the portion of the cell in question is spherical with radius r 1.2 x 10-6m. —
1. a nonconducting rod of length L has charge -q uniformly distributed along its length. (a) What is the linear charge density of the rod? (b) What is the electric field at point P, a distance a from the end of the rod? (c) If P were very far from the rod compared to L, the rod would look like a point charge. Show that your answer to (b) reduces to the electric field of a point charge for a >> L.
Q.4. What is the charge per unit area in C/m“, of an infinite plane sheet of charge if the electric field produced by the sheet of charge has magnitude 3.0 N/C?
A solid conducting cylinder, which has a charge Q1 =77Q and radius r.= 2.5R is placed inside a very thin cylindrical shell of radius rp - 3.8R and charge Q2 -2Q as shown in the figure below. Q2 R2 Q1 Find the magnitude of the electric field at r=5.5R. Express your answer using one decimal point in units of TEORL
If the electric field strength in air exceeds 3.0 ✕ 106 N/C, the air becomes a conductor. Using this fact, determine the maximum amount of charge that can be carried by a metal sphere 3.9 m in radius. _________ C
c) (a) Using Gauss's law calculate the electric field above a charged conductor. The system is shown in the figure below. Present the results in terms of surface charge density a. (1 E (b) A thin square (thicknesseclength), conducting plate 50 cm on a side lies in the xy plane. A total charge 4x10* C is placed on the plate. What is the electric field just below the plate? (1)
An insulating sphere of radius acarties a charge density p (F) -P. (F)cos e; r - order term for the electric field:at a distance d, far away.from.the.charge distribution, is proportional to CARCER charge density p ()e )cos e; r
Current Attempt in Progress A long, nonconducting, solid cylinder of radius 3.8 cm has a nonuniform volume charge density p that is a function of radial distance r from the cylinder axis: p = Ar². For A = 2.7 µC/m5, what is the magnitude of the electric field at (a) r = 0.99 cm and (b) r = 6.8 cm. (a) Number i (b) Number i GO Tutorial ! Units Units Save for Later Last saved 8 minutes ago. Saved work will be auto-submitted on the due date. Auto- submission can take up to 10 minutes. N/C or V/m Attempts: 0 of 5 used Submit Answer