Question #295659

Two charges lie on positive x-axis. Charge A (2.0 x 10-9 C) is 2.0 cm from the origin and Charge B is 4.0 cm from the origin. (-3.0 x 10-9 C). What is the total force exerted by these two charges on Charge C (5.0 x 10-9 C) located at the origin?     


1
Expert's answer
2022-02-09T13:42:30-0500

F1=kq1q2r2F_1=\frac{kq_1q_2}{r^2}


F1=9×109×2×5×10180.022=2.25×104NF_1=\frac{9\times10^9\times2\times5\times10^{-18}}{0.02^2}=2.25\times10^{-4}N

F3=kq3q2r2F_3=\frac{kq_3q_2}{r^2}

F3=9×109×3×5×10180.042=8.4375×105NF_3=-\frac{9\times10^9\times3\times5\times10^{-18}}{0.04^2}=-8.4375\times10^{-5}N

Fnet=F1+F3F_{net}=F_1+F_3


Fnet=2.25×1048.4375×105=1.406×104NF_{net}=2.25\times10^{-4}-8.4375\times10^{-5}=1.406\times10^{-4}N


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