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Chapter 20: Problem 32
Find the line charge density on a long wire if the electric field \(45 \mathrm{cm}\) from the wire has magnitude \(260 \mathrm{kN} / \mathrm{C}\) and points toward the wire.
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Suppose the electron and proton charges differed by one part in one billion. Estimate the net charge on your body, assuming it contains equal numbers of electrons and protons.
A charge \(3 q\) is at the origin, and a charge \(-2 q\) is on the positive \(x\) -axis at \(x=a .\) Where would you place a third charge so it would experience no net electric force?
You break a piece of Styrofoam packing material, and it releases lots of little spheres whose electric charge makes them stick annoyingly to you. If two of the spheres carry equal charges and repel with a force of \(21 \mathrm{mN}\) when they're \(15 \mathrm{mm}\) apart, what's the magnitude of the charge on each?
A proton is on the \(x\) -axis at \(x=1.6 \mathrm{nm}\). An electron is on the \(y\) -axis at \(y=0.85 \mathrm{nm} .\) Find the net force the two exert on a helium nucleus (charge \(+2 e\) ) at the origin.
Three identical charges \(q\) form an equilateral triangle of side \(a\) with two charges on the \(x\) -axis and one on the positive \(y\) -axis. (a) Find an expression for the electric field at points on the \(y\) -axis above the uppermost charge. (b) Show that your result reduces to the field of a point charge \(3 q\) for \(y \gg a\)
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