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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