Two particles (point charges) are on the x-axis as shown in pic below. Particle 1 charge Q1 = +1.0 µC and particle Q2 = -3.0 µC are L= 10 cm apart. If particle Q3 of unknown charge, Q3 should be placed such that the electrostatic force is zero, then, Determine the position (coordinates) of particle 3 in the x, y plane and do a simple scientific analysis of why particle Q3 is in that position.

Two spherical, hollow conductors are concentrically nested as shown in the cross-sectional diagram below and electrically isolated from each other. A net charge of -3 nC is divided between the conductors, with a total of -12 nC on the inner conductor and +9 nC on the outer one. The charges are, of course, free to move between the surfaces within each shell but cannot move from one shell to the other. The inner conductor has an inner radius of a=2 cm, outer radius of b=3 cm. The outer conductor has an inner radius of c=6 cm, an outer radius of d=8 cm. a (a) In equilibrium, all of the excess charge is found on the surfaces. Why is there no charge between a and b, nor between c and d? (b) Determine the net charge on each surface (ie how much charge is there at r = a, at r = b, at r = c and at r= = d). (c) Is the charge on the outer surface equal to the net charge on the outer container, the net charge of the system, or some other amount? Explain briefly. (d) Find the surface charge…

In the figure particle 1 of charge q1 = 1.01 μC and particle 2 of charge q2 = -2.98 μC, are held at separation L = 10.1 cm on an x axis. If particle 3 of unknown charge q3 is to be located such that the net electrostatic force on it from particles 1 and 2 is zero, what must be the (a)x and (b)y coordinates of particle 3?

In the figure particle 1 of charge +q and particle 2 of charge +9q are held at separation L = 10.1 cm on an x axis. If particle 3 of charge q3 is to be located such that the three particles remain in place when released, what must be the (a) x and (b) y coordinates of particle 3 and (c) the ratio q3/q? X (a) Number i 1.35 Units cm (b) Number 0 Units cm (c) Number i 1.00 Units No units