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An annulus, (disk with disk-shaped hole at its center) has auniform charge densi

ID: 1760909 • Letter: A

Question

An annulus, (disk with disk-shaped hole at its center) has auniform charge density . The outer radius is R2, the smallerinner radius is R1. a) Determine the total electric charge on the annulus. b) The annulus lies in the yz plane, centered at the origin.For an arbitrary point on the x axis (the axis of the annulus) findthe mag. and direction of the E field. Consider points above andbelow the annulus. c) Show that at a point on the x axis sufficiently close tothe origin, the mag. of the E field is approximately proportionalto the distance between the center of the annulus and that point.How close is "sufficiently close"? This is question 21.204 in Young and Freedman. If youwould copy and paste the answer (rather than do it on yourown) that would be helpful too. Thanks in advance An annulus, (disk with disk-shaped hole at its center) has auniform charge density . The outer radius is R2, the smallerinner radius is R1. a) Determine the total electric charge on the annulus. b) The annulus lies in the yz plane, centered at the origin.For an arbitrary point on the x axis (the axis of the annulus) findthe mag. and direction of the E field. Consider points above andbelow the annulus. c) Show that at a point on the x axis sufficiently close tothe origin, the mag. of the E field is approximately proportionalto the distance between the center of the annulus and that point.How close is "sufficiently close"? This is question 21.204 in Young and Freedman. If youwould copy and paste the answer (rather than do it on yourown) that would be helpful too. Thanks in advance

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