A circular disk of radius a is uniformly charged with ps C/m². The disk lies on the z = 0 plane with its axis along the z-axis. (a) Show that at point (0,0, h) Ps h E [h + a?]2 (b) From this, derive the E field due to an infinite sheet of charge on the z = 0 plane. (c) If a «h, show that E is similar to the field due to a point charge. %3D
A circular disk of radius a is uniformly charged with ps C/m². The disk lies on the z = 0 plane with its axis along the z-axis. (a) Show that at point (0,0, h) Ps h E [h + a?]2 (b) From this, derive the E field due to an infinite sheet of charge on the z = 0 plane. (c) If a «h, show that E is similar to the field due to a point charge. %3D
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![A circular disk of radius a is uniformly charged with es C/m?. The disk lies on the z = 0
plane with its axis along the z-axis.
%3D
(a) Show that at point (0,0, h)
h
Ps
E
[P + a°]!2
(b) From this, derive the E field due to an infinite sheet of charge on the z = 0 plane.
(c) If a <h, show that E is similar to the field due to a point charge.
3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fced49591-9dc4-43b2-8c33-26f84830bf06%2Fdca524bc-376a-46a0-a5e9-bbaefd4f815c%2Fc75ruxb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A circular disk of radius a is uniformly charged with es C/m?. The disk lies on the z = 0
plane with its axis along the z-axis.
%3D
(a) Show that at point (0,0, h)
h
Ps
E
[P + a°]!2
(b) From this, derive the E field due to an infinite sheet of charge on the z = 0 plane.
(c) If a <h, show that E is similar to the field due to a point charge.
3.
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