Explanation 1) Concept We can know the magnitude of electric field at different values of r by interpreting the graph. Then rearranging the electric field formula will help us compute the charge on the given sphere 2) Formulae The electric field for the points on the surface of charged spherical shell is, E = 1 4 π ε 0 q r 2 Where q- net charge with in the sphere r-distance between the point and center of the shell or 1 4 π ε 0 is called Coulomb’s constant, its value is 8.99 × 1 0 9 N . m 2 / C 2 3) Given i. A charged particle is held at the center of a spherical shell. ii. Fig. 23.53 gives a graph of magnitude of E of electric filed versus r. iii. Vertical axis of the graph is set by E s =10 x 10 7 N/C 4) Calculations Let E A be the magnitude of the field at r = 2.5 cm. E A = 2.0 × 10 7 N/C, and is due to the particle alone. Since E p a r t i c l e = q / 4 π ε 0 r 2 At r = 3.0 cm the total contribution (from particle and shell) is 8.0 × 10 7 N/C. Therefore, E s h e l l + E p a r t i c l e = E s h e l l + ( 2.5 / 3 ) 2 E A = 8

FUND. OF PHYSICS (LL)-W/WILEY+NEXTGEN(2)

11th Edition

ISBN: 9781119787235

Author: Halliday

Publisher: WILEY

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Chapter 23, Problem 48P

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the approximate value of net charge on the spherical shell.

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Chapter 23, Problem 47P

Chapter 23, Problem 49P

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Chapter 23 Solutions

FUND. OF PHYSICS (LL)-W/WILEY+NEXTGEN(2)

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the approximate value of net charge on the spherical shell.

To calculate: the approximate value of net charge on the spherical shell.

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Chapter 23 Solutions

To calculate:

the approximate value of net charge on the spherical shell.