Find the E-field at a point yo on the y-axis above a circular disk of variable surface charge density, o(r) = 0o(r/R)?. (Note: this r is the radial coordinate and NOT the distance from dq to your point r so please do not cancel them) o(r) represents a distribution where the charge is largest at the edges of the disk and less towards the center. The disk is centered on the y-axis, lies in the x-z plane, and has radius R. Make a symmetry argument to explain why you only need to find the y-component. Do not plug in the value for k.
Find the E-field at a point yo on the y-axis above a circular disk of variable surface charge density, o(r) = 0o(r/R)?. (Note: this r is the radial coordinate and NOT the distance from dq to your point r so please do not cancel them) o(r) represents a distribution where the charge is largest at the edges of the disk and less towards the center. The disk is centered on the y-axis, lies in the x-z plane, and has radius R. Make a symmetry argument to explain why you only need to find the y-component. Do not plug in the value for k.
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Transcribed Image Text:A 2D example which also has a non-uniform charge distribution:
5. Find the E-field at a point yo on the y-axis above a circular disk of variable surface charge density, o(r) = 0o(r/R)².
(Note: this r is the radial coordinate and NOT the distance from dq to your point r so please do not cancel them)
o(r) represents a distribution where the charge is largest at the edges of the disk and less towards the center.
The disk is centered on the y-axis, lies in the x-z plane, and has radius R. Make a symmetry argument to explain why
you only need to find the y-component. Do not plug in the value for k.
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