A ring with outer radius r, and inner radius r. (i.e. a disc with a hole, shown in Figure A) has a uniform surface charge density o. (a) Calculate the electric field at point P at a distance x along the central perpendicular axis of the disk. (b) Find the expression for electric field when r,>r, and r,»x. (c) Find the expression for electric field when r,>x>ra. Comment on your result. (d) Now consider a cylindrical shell of length I with outer radius r, and inner radius ra with total uniform charge Q (see Figure B). Determine the electric field at a point a distance d from the right side of the cylinder. You may use the large r, limit result found in (b). Figure A Figure B d. Zoom

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A ring with outer radius r, and inner radius r, (i.e. a disc with a hole, shown in Figure A) has a
uniform surface charge density o.
(a) Calculate the electric field at point P at a distance x along the central perpendicular axis of
the disk.
(b) Find the expression for electric field when r,>r, and r,>x.
(c) Find the expression for electric field when r,>x>rq. Comment on your result.
(d) Now consider a cylindrical shell of length I with outer radius r, and inner radius ra with total
uniform charge Q (see Figure B). Determine the electric field at a point a distance d from the
right side of the cylinder. You may use the larger, limit result found in (b).
Figure A
Figure B
P
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Transcribed Image Text:A ring with outer radius r, and inner radius r, (i.e. a disc with a hole, shown in Figure A) has a uniform surface charge density o. (a) Calculate the electric field at point P at a distance x along the central perpendicular axis of the disk. (b) Find the expression for electric field when r,>r, and r,>x. (c) Find the expression for electric field when r,>x>rq. Comment on your result. (d) Now consider a cylindrical shell of length I with outer radius r, and inner radius ra with total uniform charge Q (see Figure B). Determine the electric field at a point a distance d from the right side of the cylinder. You may use the larger, limit result found in (b). Figure A Figure B P Zoom
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