Question #96585
Three point charges, q1=+5x10-6C, q2=-8x10-6C and q3=+2x10-6C, are placed on the corners of an equilateral triangle with sides of length 120 mm. Find the magnitude and direction of the net force over charge q1=+5x10-6C (use 2 decimal plates)
1
Expert's answer
2019-10-16T09:37:08-0400

q2q_2 will attract q1q_1 and q3q_3 will repel q1q_1

Force on q1q_1 by q3=F1=K×q1×q3r2=6.250Nq_3=F_1=\frac{K\times q_1\times q_3}{r^2}=6.250N

Force on q1q_1 by q2=F2=K×q1×q2r2=25Nq_2=F_2=\frac{K\times q_1\times q_2}{r^2}=25N

Hence resultant force on q1=F12+F22+2F1F2cosθ=507.81Nq_1=\sqrt{F_1^2+F_2^2+2F_1F_2cos\theta}=507.81N


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