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A finite rod of negligible thickness and length L 5.20 m has total charge Q = 10.0 µC, distributed uniformly %3D %3D along its length. The rod is bent into a semicircle of radius R and arranged so that its center of curvature is at the origin of an xy-plane, as shown below in figure (a). A point particle of charge q the origin of the the xy-plane. 2.00 µC is then placed at %3D ↑y -R - a (a) (b) (a) What is the radius of the semicircle shown in figure (a)? (b) What is the magnitude of the net electric force on the point charge q due to the bent charged rod in figure (a)? (c) Suppose we were to straighten the rod and position it parallel to the y-axis and centered on the x-axis, as shown in figure (b). What would be the magnitude of the net electric force on the point charge q due to the straightened charged rod? N.

A finite rod of negligible thickness and length L 5.20 m has total charge Q = 10.0 µC, distributed uniformly %3D %3D along its length. The rod is bent into a semicircle of radius R and arranged so that its center of curvature is at the origin of an xy-plane, as shown below in figure (a). A point particle of charge q the origin of the the xy-plane. 2.00 µC is then placed at %3D ↑y -R - a (a) (b) (a) What is the radius of the semicircle shown in figure (a)? (b) What is the magnitude of the net electric force on the point charge q due to the bent charged rod in figure (a)? (c) Suppose we were to straighten the rod and position it parallel to the y-axis and centered on the x-axis, as shown in figure (b). What would be the magnitude of the net electric force on the point charge q due to the straightened charged rod? N.

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A finite rod of negligible thickness and length L 5.20 m has total charge Q = 10.0 µC, distributed uniformly %3D %3D along its length. The rod is bent into a semicircle of radius R and arranged so that its center of curvature is at the origin of an xy-plane, as shown below in figure (a). A point particle of charge q the origin of the the xy-plane. 2.00 µC is then placed at %3D ↑y -R - a (a) (b) (a) What is the radius of the semicircle shown in figure (a)? (b) What is the magnitude of the net electric force on the point charge q due to the bent charged rod in figure (a)? (c) Suppose we were to straighten the rod and position it parallel to the y-axis and centered on the x-axis, as shown in figure (b). What would be the magnitude of the net electric force on the point charge q due to the straightened charged rod? N.
Transcribed Image Text:A finite rod of negligible thickness and length L 5.20 m has total charge Q = 10.0 µC, distributed uniformly %3D %3D along its length. The rod is bent into a semicircle of radius R and arranged so that its center of curvature is at the origin of an xy-plane, as shown below in figure (a). A point particle of charge q the origin of the the xy-plane. 2.00 µC is then placed at %3D ↑y -R - a (a) (b) (a) What is the radius of the semicircle shown in figure (a)? (b) What is the magnitude of the net electric force on the point charge q due to the bent charged rod in figure (a)? (c) Suppose we were to straighten the rod and position it parallel to the y-axis and centered on the x-axis, as shown in figure (b). What would be the magnitude of the net electric force on the point charge q due to the straightened charged rod? N.
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