Four point charges, two positive charges on the x-axis and two negative charges on the y-axis, are located at a distance a = 6.5 cm from the origin on either side of it. The charge of each of them is q = 6 μC or -6 μC Another positive point charge, with charge Q = 109 μC, is located at point P on the positive x-axis a distance b = 0.65 m to the right of the rightmost positive charge. Refer to the figure. Part (a)  Enter an expression for the x-component of the force on the point charge, in terms of defined quantities and the Coulomb constant k, at P due to the negative charges.  Part (b)  Enter an expression for the x-component of the force on the point charge at P due to the nearest positive charge, in terms of defined quantities and the Coulomb constant k.  Part (c)  Enter an expression for the x-component of the force on the point charge at P due to the farthest positive charge, in terms of defined quantities and the Coulomb constant k.  Part (d)  Calculate the x-component of the net force, in newtons, acting on the point charge at P.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter23: Electric Forces
Section: Chapter Questions
Problem 20PQ: An electroscope is a device used to measure the (relative) charge on an object (Fig. P23.20). The...
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Four point charges, two positive charges on the x-axis and two negative charges on the y-axis, are located at a distance a = 6.5 cm from the origin on either side of it. The charge of each of them is q = 6 μC or -6 μC Another positive point charge, with charge Q = 109 μC, is located at point P on the positive x-axis a distance b = 0.65 m to the right of the rightmost positive charge. Refer to the figure.

Part (a)  Enter an expression for the x-component of the force on the point charge, in terms of defined quantities and the Coulomb constant k, at P due to the negative charges. 

Part (b)  Enter an expression for the x-component of the force on the point charge at P due to the nearest positive charge, in terms of defined quantities and the Coulomb constant k

Part (c)  Enter an expression for the x-component of the force on the point charge at P due to the farthest positive charge, in terms of defined quantities and the Coulomb constant k

Part (d)  Calculate the x-component of the net force, in newtons, acting on the point charge at P. 

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