4/3/2019 Exam 2 - Page 5 of 7 General Physics II 3. (20 points) A nonuniform, but spherically sym...
please re do to get correct answer 4/3/2019 Exam 2 - Page 5 of 7 General Physics II 3. (20 points) A nonuniform, but spherically symmetric, distribution of charge has a charge density, p(r) given as follows; o(r) (Po(1%) for r < R for r 2 R , and R is the radius of the charged sphere. wherePo (a) (8 points) Show that po by integrating the charge density over the volume of the distribution. de torni apo Vrar l...
Problem 3: In a certain region, a charge distribution exists that is spherically symmetric but nonuniform. That is, the volume charge density p(r) depends on the distancer from the center of the distribution but not on the spherical polar angles and . The electric potential V(r) due to this charge distribution is V(r) = Pop (1-3(E)? +2(3) forrsa; and V(r) = 0 for r > a, where po is a constant having units of C/m' and a is a constant...
Consider a charged, non-conducting sphere with outer radius ? that carries a nonuniform, but spherically symmetric charge distribution with charge density ?(?). (a) Find the electric field at the surface of the sphere if the charge density is given by: ?(?) = ?0 (3 − ?/? ) where ? is the distance from the center of the sphere and ?0 is a constant with units of C/m^3 .
4. A spherically sym metric charge distribution has the following radial dependence for the volume charge density ρ 0 if r > R where γ is a constant a) What units must the constant y have? b) Find the total charge contained in the sphere of radius R centered at the origin. c) Use the integral form of Gauss's law to determine the electric field in the region r < R. (Hint: if the charge distribution is spherically symmetric, what...
3. (20) A spherically symmetric charge distribution creates the following electric field (2) E E,r with 20 r r < a for 4meoa3 (3) E,= Q 4mor2 for r> a where Q and a are positive constants of suitable units. (a) Draw a graph of E, for 0 <r3a; please label your graph clearly (b) Calculate the charge distribution that generates this electric field. (c) Draw a graph of the charge distribution for 0 <r< 3a; please label your graph...
Here's an ODE that will emerge early in Physics 330. Using separation of variables (the PDE 3. version) we can find the following equation for the radial part R(r) of the electric potential for a spherically symmetric charge distribution: r2drR + 2r-R-1(1 + 1)R = O A. Test a solution of the form: R(r)-Arı + Br-(1+1) and verify that it is a solution. B. The constants A and B are determined using boundary conditions i. Imagine that the region of...
Week 4 Physics 272 Recitation, Spring 2019 Problem: You and your friend are discussing last week's recitation problem, in which an electron falling down a tunnel through a uniformly charged earth exhibits simple harmonic motion. Instead of being uniformly charged, imagine that the Earth is given a spherically symmetric charge density p(r)-b/r, where b is some constant. If an electron is released from rest inside this tunnel at some initial distance from the center, find an expression for the acceleration...
PHYS 1404 General Physics II: Spring 2019 Chapter 16 Question 2 (of 10) value: 0.00 points 1 out of 8 attempts Three point charges are fixed in place in a right triangle. ha is the electric force on the -0.40-uC charge due to the other two charges? Assistance Check My Work View Hint View Question 0.70 uC Show M Guided Solution Practice This Questi Print 10.0 cm 5.0 cm Question Help Report a Problem N at o above the positive...
Question 6 (5 marks) Two non-conducting spheres of equal radii R are placed adjacent to each other as shown in figure 5. Sphere 1 has a charge +91 distributed uniformly throughout its volume, and sphere 2 has charge +92 distributed uniformly throughout. A point P is chosen on the line joining the centers of the two spheres, at a distance R/2 from the centre of sphere 1 and 3R/2 from the centre of sphere 2. If the net electric field...
cswebdav/pd-203 1099-dt-content-rid-127647332/courses/201 920-PHYS 1402010/Homework%281962 PHYS 1402 (General Physics II) Homework 2 1. When we defined the electric potential, we said that we take a point in- finitely far away to have a potential of zero when dealing with a finite distribution of charges. Why might this be a bad approximation for a non-finite distribution of charges? 2. Consider a dipole centered at the origin of a cartesian coordinate system. The dipole is aligned with the x-axis with the positive charge...