A ring of charge of radius a lies in the z = 0 plane and centered on the z-axis. The charge density on the ring is given by p (p)= Po cosp' [C/m]. First, find the electric field at any point on the z-axis, Ē(z). Next, find the potential Þ(z) on the z-axis. Explain why the field in this problem cannot be found by taking the gradient of your answer for Þ(z). P(p') [C/m]
A ring of charge of radius a lies in the z = 0 plane and centered on the z-axis. The charge density on the ring is given by p (p)= Po cosp' [C/m]. First, find the electric field at any point on the z-axis, Ē(z). Next, find the potential Þ(z) on the z-axis. Explain why the field in this problem cannot be found by taking the gradient of your answer for Þ(z). P(p') [C/m]
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![A ring of charge of radius a lies in the z = 0 plane and
centered on the z-axis. The charge density on the ring
is given by p(') = Peo cosp' [C/m]. First, find the
electric field at any point on the z-axis, Ē(z). Next,
find the potential Þ(z) on the z-axis. Explain why the
field in this problem cannot be found by taking the
gradient of your answer for Þ(z).
x
<N
+
+
a
P₁ (6¹) [C/m]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45e73a8e-4729-402e-8121-de43777babe4%2Fd923f6f7-6933-4622-a86c-eb93b1b5aefb%2F2s9sgcf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A ring of charge of radius a lies in the z = 0 plane and
centered on the z-axis. The charge density on the ring
is given by p(') = Peo cosp' [C/m]. First, find the
electric field at any point on the z-axis, Ē(z). Next,
find the potential Þ(z) on the z-axis. Explain why the
field in this problem cannot be found by taking the
gradient of your answer for Þ(z).
x
<N
+
+
a
P₁ (6¹) [C/m]
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