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Use the charge distribution and electric field calculated

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 84P Chapter 23

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

4 5 1 345 Reviews
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2
Problem 84P

Use the charge distribution and electric field calculated (a) Show that for ?r ? ?R the potential is identical to that produced by a point charge ?Q?. (Take the potential to be zero at infinity.) (b) Obtain an expression for the electric potential valid in the region ?r? ? ?R?. Problem: A nonuniform, but spherically symmetric, distribution of charge has a charge density ? ?? ?) given as follows: Where ??0 = 3?Q?/??R?3 is a positive constant. (a) Show that the total charge contained in the charge distribution is ?Q?. (b) Show that the electric field in the region ?r ? ?R is identical to that produced by a point charge ?Q at ?r = 0. (c) Obtain an expression for the electric field in the region ?r ? ?R?. (d) Graph the electric-field magnitude ?E as a function of ?r?. (e) Find the value of ?r at which the electric field is maximum, and find the value of that maximum field.

Step-by-Step Solution:
Step 1 of 3

Week 5 Physics 2 for Engineering Chapter 24: Capacitance and Dielectrics Capacitors store charge C = Q/V Unit is Farads, 1 Farad = 1 C/V Review: Q = σ A V = Ed Parallel Plate Capacitor C = A Ɛ / 0 C = Q/V = σ A/ Ed = A Ɛ / d 0 Capacitors in series Charge on each capacitor is the same Voltage on each capacitor is different Applied voltage is equal to the sum of voltages on the two capacitors (V = V +V ) 1 2 1/C eq1/C +11C 2 Capacitors in parallel Voltage (potential) on each capacitor is the same Charge on each capacitor is different (Q = Q +Q ) 1 2 C eq +C1 2 Energy stored in capacitor U= (1/2) Q

Step 2 of 3

Chapter 23, Problem 84P is Solved
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Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

Since the solution to 84P from 23 chapter was answered, more than 272 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. The full step-by-step solution to problem: 84P from chapter: 23 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “Use the charge distribution and electric field calculated (a) Show that for ?r ? ?R the potential is identical to that produced by a point charge ?Q?. (Take the potential to be zero at infinity.) (b) Obtain an expression for the electric potential valid in the region ?r? ? ?R?. Problem: A nonuniform, but spherically symmetric, distribution of charge has a charge density ? ?? ?) given as follows: Where ??0 = 3?Q?/??R?3 is a positive constant. (a) Show that the total charge contained in the charge distribution is ?Q?. (b) Show that the electric field in the region ?r ? ?R is identical to that produced by a point charge ?Q at ?r = 0. (c) Obtain an expression for the electric field in the region ?r ? ?R?. (d) Graph the electric-field magnitude ?E as a function of ?r?. (e) Find the value of ?r at which the electric field is maximum, and find the value of that maximum field.” is broken down into a number of easy to follow steps, and 162 words. This full solution covers the following key subjects: Charge, Field, electric, potential, show. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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