Concept explainers
The graph of the magnitude of electric field due to the given configuration versus
Answer to Problem 55AP
The graph of the magnitude of electric field due to the given configuration versus
Explanation of Solution
Write the expression to calculate the electric field on uniformly charged sphere for
Here,
Write the expression to calculate the electric field on uniformly charged sphere for
The electric field inside a conductor is
So, for the region
Write the expression to calculate the net charge outside the sphere.
Here,
Write the expression to calculate the electric field outside the uniformly charged sphere.
Conclusion:
For
Assume
Substitute
Calculate the electric field at
Substitute
For region
At
Substitute
At
Substitute
For region
Substitute
At
The graph of the magnitude of electric field due to the given configuration versus
Figure (1)
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Chapter 24 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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- A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and outer radii are b and e as shown in Figure P24.45. We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r a. (b) From this value, find the magnitude of the electric field for r a. (c) What charge is contained within a sphere of radius r when a r b? (d) From this value, find the magnitude of the electric field for r when a r b. (e) Now consider r when b r c. What is the magnitude of the electric field for this range of values of r? (f) From this value, what must be the charge on the inner surface of the hollow sphere? (g) From part (f), what must be the charge on the outer surface of the hollow sphere? (h) Consider the three spherical surfaces of radii a, b, and c. Which of these surfaces has the largest magnitude of surface charge density? Figure P24.45 Problems 43 and 47.arrow_forwardA hollow non-conducting spherical shell has inner radius R1 = 9 cm and outer radius R2 = 15 cm. A charge Q = -25 nC lies at the center of the shell. The shell carries a spherically symmetric charge density ρ = Ar for R1 < r < R2 that increases linearly with radius, where A = 17 μC/m4. What is the radial electric field at the point r = 2R2? Give your answer in units of kN/C.arrow_forwardA solid insulating sphere of radius 0.06 cm carries a total charge of 30 nC. OConcentric with this sphere is a conducting spherical shell with an inner radius of 0.13 cm and an outer radius of 0.17 cm and carrying a total charge of -15 nC. Find the magnitude of the electric field at r = 0.20 cm from the center of the two spheres and shell. N O 2.157æ103 N O 2.157x106 N C O 2.157x10° ANarrow_forward
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