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IV. Exercises · Q5

Q.Draw the free body diagram for the following three charge situations shown in the figure:

(a) a charge QQ of mass mm hanging from a string in a uniform field EE pointing horizontally, between oppositely charged plates;
(b) a charge on a spring of force constant kk, displaced by xx in a uniform field EE;
(c) a small charge +q+q hanging by a string at angle to the vertical between charged plates.
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Step 1. Case (a) -- charge on a spring in a field. The forces are the spring's restoring force −kx-kx (opposing the displacement xx) and, if a uniform field acts on the charge, an electric force qEqE; both act along the direction of motion.

Step 2. Case (b) -- charge falling between charged plates. The forces are the electric force QEQE (from the field between the plates) and the weight mgmg acting vertically downward; if the charge also rests on or is guided by a surface, a normal force NN is included. …

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