A line of positive charge is formed into a semicircle of radius as shown in the

Question

A line of positive charge is formed into a semicircle of radius

as shown in the figure below. The charge per unit length along the semicircle is described by the expression

The total charge on the semicircle is 12.0 ?C. Calculate the total force on a charge of 5.00 ?C placed at the center of curvature.

Magnitude     N Direction     ---Select---downwardupwardto the rightto the left A line of positive charge is formed into a semicircle of radius R = 55.0 cm, as shown in the figure below. The charge per unit length along the semicircle is described by the expression ? = ?0 cos ?. The total charge on the semicircle is 12.0 ?C. Calculate the total force on a charge of 5.00 ?C placed at the center of curvature.

Explanation / Answer

The whole charge is the integral of ?_0 cos(?) R d? from -pi/2 to pi/2. Therefore:
2 ?_0 R = 120

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