A +3 microcoulomb charge resides at the origin (0,0), and a -4 microcoulomb charge resides slightly north at (0, 2 m). The force on the 3 microcoulomb charge has magnitude F. |-4 microC |+3 microC a) Where would you have to place a third charge of -1 microcoulomb in order to bring the net electric force on the +3 microcoulomb charge to zero? b) Where would you put the +1 microcoulomb charge if you want to increase the magnitude of force on the 3 microcoulomb charge to 5F? c) How would your answers change if the +3 microcoulomb charge were instead a -27 microcoulomb charge?

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Chapter1: Units, Trigonometry. And Vectors
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A +3 microcoulomb charge resides at the origin (0,0), and a -4 microcoulomb charge resides slightly north at
(0, 2 m). The force on the 3 microcoulomb charge has magnitude F.
|-4 microC
+3 microC
a) Where would you have to place a third charge of -1 microcoulomb in order to bring the net electric force on the
+3 microcoulomb charge to zero?
b) Where would you put the +1 microcoulomb charge if you want to increase the magnitude of force on the 3
microcoulomb charge to 5F?
c) How would your answers change if the +3 microcoulomb charge were instead a -27 microcoulomb charge?
Transcribed Image Text:A +3 microcoulomb charge resides at the origin (0,0), and a -4 microcoulomb charge resides slightly north at (0, 2 m). The force on the 3 microcoulomb charge has magnitude F. |-4 microC +3 microC a) Where would you have to place a third charge of -1 microcoulomb in order to bring the net electric force on the +3 microcoulomb charge to zero? b) Where would you put the +1 microcoulomb charge if you want to increase the magnitude of force on the 3 microcoulomb charge to 5F? c) How would your answers change if the +3 microcoulomb charge were instead a -27 microcoulomb charge?
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