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Use Gauss’s law to find the electric field inside and
Chapter 2, Problem 11P(choose chapter or problem)
Problem 11P
Use Gauss’s law to find the electric field inside and outside a spherical shell of radius R that carries a uniform surface charge density σ. Compare your answer to Prob. 2.7.
Reference:Prob.2.7
Find the electric field a distance z from the center of a spherical surface of radius R (Fig. 2.11) that carries a uniform charge density σ. Treat the case z < R (inside) as well as z > R (outside). Express your answers in terms of the total charge q on the sphere. [Hint: Use the law of cosines to write r in terms of R and θ. Be sure to take the positive square root:
Questions & Answers
QUESTION:
Problem 11P
Use Gauss’s law to find the electric field inside and outside a spherical shell of radius R that carries a uniform surface charge density σ. Compare your answer to Prob. 2.7.
Reference:Prob.2.7
Find the electric field a distance z from the center of a spherical surface of radius R (Fig. 2.11) that carries a uniform charge density σ. Treat the case z < R (inside) as well as z > R (outside). Express your answers in terms of the total charge q on the sphere. [Hint: Use the law of cosines to write r in terms of R and θ. Be sure to take the positive square root:
ANSWER:
Solution 11P
Step 1 of 5:
Consider a perfectly spherical shell of radius R and it has the uniform surface charge density σ. The charge enclosed by the spherical shell is Q. We are going to find the electric field inside and outside the spherical shell.