Three point charges are arranged in a horizontal line as shown below. Find the e

Question

Three point charges are arranged in a horizontal line as shown below. Find the electric forces (in units of kQ2/R2) on the charges given the following: Q1 =-2 Q, Q2 = 32 Q, Q3 = 75 Q, r1 = 1 R, and r2-4 R. Remember that a positive force points to the right and a negative force points to the left. Q,O2 Q3 What is the net force on charge Q1? kQ2/R2 Submit Answer Tries 0/2 What is the net force on charge Q2? Submit Answer Tries 0/2 What is the net force on charge Q3? Submit Answer Tries 0/2 What is the sum of the forces on all three charges? Submit Answer Tries o/

Explanation / Answer

a)

net force on Q1, Fnet1 = k*Q1*Q2/r1^2 + k*Q1*Q3/(r1+r2)^2

= k*(2*Q)*(32*Q)/R^2 + k*(2Q)*(75*Q)/(R + 4*R)^2

= 70*k*Q^2/R^2

b) net force on Q2, Fnet2 = -k*Q1*Q2/r1^2 - k*Q2*Q3/(r2)^2

= -k*(2*Q)*(32*Q)/R^2 - k*(32Q)*(75*Q)/(4*R)^2

= -214*k*Q^2/R^2

c) net force on Q3, Fnet2 = -k*Q1*Q3/(r1 + r2)^2 + k*Q2*Q3/(r2)^2

= -k*(2*Q)*(75*Q)/R^2 + k*(32Q)*(75*Q)/(4*R)^2

= 0

d) sum of all the forces = -144*k*Q^2/R^2

===========================================

F = k*q1*q2/d^2

= 9*10^9*0.5*9/(3000)^2

= 4500 N

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