q1 = 1nC, q2 = 1nC and q3 = -2nC. Which are located at x = 0 and y= 0, x= 1 cm and y= 0 and x= 1cm and y = 2cm respectively. What is the net force on q1 and in what direction?
Answer
force on q1 due to q_2
"F_1=\\frac{Kq_1q_2}{r^2}"
"F_1=\\frac{(9\\times10^9)(1\\times10^{-9})^2}{(0.01)^2}=0.00009N"
Force on q1 due to q3
"F_2=\\frac{(9\\times10^9)(1\\times10^{-9})(2\\times10^{-9})}{(\\sqrt{5})^2}=8\\times10^{-9}N"
AnAnd angle between F1 and F2 is 116.6° so net force
"F_{net}=\\sqrt{0.00009^2+(8\\times10^{-9})^2+2(0.00009)(8\\times 10^{-9})cos116.6\u00b0}"
"F_{net}=9\\times10^{-5}N"
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