Question #181197

Find the Total force of q3 were the charges of difference location is q1=3nC, q2 =4nC,and q3=5nC at corner of an equalateral triangle with the side of 10 cm find the a total force on q3 and Total electric field


1
Expert's answer
2021-04-15T07:19:25-0400

F1=kq1q3r2,F_1=\frac{kq_1q_3}{r^2}, F2=kq2q3r2,F_2=\frac{kq_2q_3}{r^2},

F=F12+F222F1F2cos60°=kq3r2q12+q222q1q2cos60°,F=\sqrt{F_1^2+F_2^2-2F_1F_2cos 60°}=\frac{kq_3}{r^2}\sqrt{q_1^2+q_2^2-2q_1q_2cos60°},

F=16.2 μN;F=16.2~\mu N;

E=Fq3,E=\frac{F}{q_3},

E=3.2 kNC.E=3.2~\frac{kN}{C}.


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