(Solved): question 3 please Problem 1 The figure to the right depicts four possible situations involving ...

question 3 please

Problem 1 The figure to the right depicts four possible situations involving five point charges, with values as indicated. The value of the charge in the middle is not given, but you should assume it is the same in all four cases. The distance between adjacent charges is also the same in all cases. (a)For which arrangement is the net electrostatic force on the central charge greatest? Why? (b)For which arrangement is the net electrostatic force on the central charge smallest? Why? (c)Of the two arrangements left, which one has the strongest force? Why? Problem 2 A charge of $$q_1=4.0?\mathrm{C}$$ is at the origin and a charge $$q_2=2.0?C$$ is at $$x=?10m$$ along the $$x$$-axis. What is the magnitude and direction of the force on a charge, $$q_0=2.0?\mathrm{C}$$, at $$x=0m,y=1m$$, due to $$q_1$$ and $$q_2$$ ? Problem 3 Imagine that you have a solid sphere made of some dielectric material, with a radius of $$15\mathrm{cm}$$, which may carry some charge on its surface (part $$(a))$$, or in its interior (part (b)) (a)If the sphere has a uniform surface charge density of $$?=?0.5?\mathrm{C}/{\mathrm{m}}^2$$, what is its total charge? (b)If instead it has a uniform volume charge density of $$?=250\mathrm{nC}/{\mathrm{m}}^3$$, what is its total charge?