Quiz 12.3:


Question:

Three different electric charges \(q_1,q_2, \) and \(q_3\) exert forces on a test charge \(Q\). The forces are, respectively, \( \vec{F}_1=<3,6> \), \( \vec{F}_2=<-2,5> \), and \( \vec{F}_3=<7,-4> \)
a) Calculate \( \vec{F}_\mbox{net} \)
b) If a forth charge is added. \( q_4\), with an associated force of \(\vec{F}_4 \), what must this force be so that \(Q\) experiences a net force of zero?


5th Ed: #19


Solution:

a) \( \vec{F}_\mbox{net} = < 3-2+7,6+5-4>= <8,7> \)
b) \( \vec{F}_4 = <-8,-7> \)
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