Problem 2.7 Find the electric field a distance z from the center of a spherical surface of radius R (Fig. 2.11), which carries a uniform charge density o. 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 0. Be sure to take the positive square root: VR? + z? – 2Rz = (R – 2) if R > z, but it's (z – R) if R < z.]
Problem 2.7 Find the electric field a distance z from the center of a spherical surface of radius R (Fig. 2.11), which carries a uniform charge density o. 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 0. Be sure to take the positive square root: VR? + z? – 2Rz = (R – 2) if R > z, but it's (z – R) if R < z.]
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Transcribed Image Text:Z.
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Figure 2.11
![Problem 2.7 Find the electric field a distance z from the center of a spherical surface of radius
R (Fig. 2.11), which carries a uniform charge density o. 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 0. Be sure to take the positive square root:
VR? + z? - 2Rz = (R – z) if R > z, but it's (z – R) if R < z.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea48180f-8852-4662-9331-6a67f66b0a71%2F9c09cc1d-3233-4757-8883-022fc578d26b%2F1g5wcnd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 2.7 Find the electric field a distance z from the center of a spherical surface of radius
R (Fig. 2.11), which carries a uniform charge density o. 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 0. Be sure to take the positive square root:
VR? + z? - 2Rz = (R – z) if R > z, but it's (z – R) if R < z.]
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