1. Consider a charged ring of radius a carrying a charge density A = Ao Sin o'. See figure below. a (a) Derive the expression for the electric field at an arbitrary point on the z-axis, (0,0, z). Describe the long distance behaviour of this axial electric field. What is the direction of the electric field at the point (0,0, z)? (b) Derive the potential V at an arbitrary axial point (0,0, z). (c) Calculate the magnitude of the electric flux passing through the r -z plane.

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1. Consider a charged ring of radius a carrying a charge density A = A, Sin o'. See figure below.
(a) Derive the expression for the electric field at an arbitrary point on the z-axis, (0,0, z). Describe
the long distance behaviour of this axial electric field. What is the direction of the electric
field at the point (0,0, z)?
(b) Derive the potential V at an arbitrary axial point (0,0, z).
(c) Calculate the magnitude of the electric flux passing through the x – z plane.
Transcribed Image Text:1. Consider a charged ring of radius a carrying a charge density A = A, Sin o'. See figure below. (a) Derive the expression for the electric field at an arbitrary point on the z-axis, (0,0, z). Describe the long distance behaviour of this axial electric field. What is the direction of the electric field at the point (0,0, z)? (b) Derive the potential V at an arbitrary axial point (0,0, z). (c) Calculate the magnitude of the electric flux passing through the x – z plane.
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