. A line of positive charge is formed into a semicircle of radius R = 60.0 cm, as shown in Figure P23.61. The charge per unit length along the semicirele is described by the expression A = Ap cos 0. The total charge on the semicircle is 12.0 µC. Calculate the total force on a charge of 3.00 uC placed at the center of curvature.

Physics for Scientists and Engineers
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Author:Raymond A. Serway, John W. Jewett
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Chapter23: Continuous Charge Distributions And Gauss's Law
Section: Chapter Questions
Problem 41AP: A line of positive charge is formed into a semicircle of radius R = 60.0 cm as shown in Figure...
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61. A line of positive charge is formed into a semicircle of
radius R= 60.0 cm, as shown in Figure P23.61. The
charge per unit length along the semicircle is described
by the expression A = A, cos 0. The total charge on the
semicircle is 12.0 µC. Calculate the total force on a
charge of 3.00 uC placed at the center of curvature.
Figure P23.61
Transcribed Image Text:61. A line of positive charge is formed into a semicircle of radius R= 60.0 cm, as shown in Figure P23.61. The charge per unit length along the semicircle is described by the expression A = A, cos 0. The total charge on the semicircle is 12.0 µC. Calculate the total force on a charge of 3.00 uC placed at the center of curvature. Figure P23.61
65. Review Problem. Four identical point charges, each
having charge + q, are fixed at the corners of a square
of side L. A fifth point charge - Q lies a distance z along
the line perpendicular to the plane of the square and
passing through the center of the square (Fig. P23.65).
(a) Show that the force exerted on -Q by the other
four charges is
4k 9Qz
F
k
2
Transcribed Image Text:65. Review Problem. Four identical point charges, each having charge + q, are fixed at the corners of a square of side L. A fifth point charge - Q lies a distance z along the line perpendicular to the plane of the square and passing through the center of the square (Fig. P23.65). (a) Show that the force exerted on -Q by the other four charges is 4k 9Qz F k 2
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