A test charge of +2.40 µC is placed halfway between a charge of +6.25 µC (left end) and another of +4.50 µC (right end) separated by 10.0 cm. (a) What is the magnitude of the net force, in Newtons, on the test charge? Blank 1 Show the direction of the net force on your sketch. (b) The middle charge is now replaced with a charge of -3.25 µC. How far from the left end , in cm, should this charge be placed so that it is in equilibrium? Blank 2 (c) Now replace the left end with a charge of -2.25 µC. How far from the left charge, in cm, is the force at a minimum between the two end charges? Blank 3

The figure below shows four small beads, each with a positive charge, at the corners of a square. The length of each side of the square is a. The bead at top-right has a charge of q; the one at lower-left has a charge of 8.0q; the other two each have a charge of 6.0g. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) a 6.09 а 8.0g 6.0g a (a) What is the magnitude of the force on the bead with charge q? Express your answer in terms of k, q, and a in symbolic form. ka [12.485] F = a? What is the magnitude of the force due to each charge? (Be careful with distances.) What is the direction of each force? Using trigonometry, can you find the x- and y-components of each force? After finding the x- and y-components of the net force, how can you use them to find the magnitude of the net force? (b) What is the direction of the force on the bead with charge q? (Enter your answer in degrees counterclockwise from the +x-axis.) 45 ° counterclockwise from the +x-axis

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An irregular neutral conductor has a hollow cavity inside of it and is insulated from its surroundings. An excess charge of 18.0 nCnC is sprayed onto this conductor. 1.Find the charge on the inner surface of the conductor.Express your answer in nanocoulombs. 2.Find the charge on the outer surface of the conductor.Express your answer in nanocoulombs. 3.Without touching the conductor, a charge of -15.0 nCnC is inserted into the cavity through a small hole in the conductor. Find the charge on the inner surface of the conductor in this case.Express your answer in nanocoulombs. 4.Find the charge on the outer surface of the conductor in this case.Express your answer in nanocoulombs.

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Given the arrangement of charged particles in the figure below, find the net electrostatic force on the q1 = 5.15-µC charged particle. (Assume q2 = 12.33 µC and q3 = −21.12 µC. Express your answer in vector form.)

A test charge of +3 µC is at a point P where an external electric field is directed to the right and has a magnitude of 4.0x106 N/C. The test charge is replaced with another test charge of -3 µC. The external electric field at P from the source chare will ________. (increase, decrease, remain the same.) How do you know this?