QUIZ XII COULOMB S LAW and SUPERPOSITION Consider the following charge distribution a b Determine the net ELECTROSTATIC FORCE magnitude and direction on a charge e located at 0 s 7 Repeat assuming the charges at s 0 and s 0 are 2e rather than 2e 3 CORRECTED SOLUTION KEY CONCEPTS RELATIONSHIPS LAWS SOURCE CHARGES TEST CHARGE COULOMB s LAW The SUPERPOSITION THEOREM a b Denote SOURCE CHARGES Q1 2e at s 0 Q2 2e at s 0 then By Superposition F0 F1 0 F2 0 F3 0 where F1 0 k 2e2 2s2 sin45 ux cos45 uy F2 0 k2e2 2s2 sin45 ux cos45 uy yielding F0 ke2 s2 2cos45 uy 3 62x10 9 N uy Denote SOURCE CHARGES Q1 2e at s 0 Q2 2e at s 0 then By Superposition F0 F1 0 F2 0 F3 0 where F1 0 k 2e2 2s2 sin45 ux cos45 uy F2 0 k2e2 2s2 sin45 ux cos45 uy yielding F0 ke2 s2 2cos45 uy 3 62x10 9 N uy NOTE DRAW FREE BODY DIAGRAM recalling that Like charges repel unlike attract From the geometry R1 0 R2 0 s 2 1 2
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