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 kQ^2/R^2) on the charges given the following: Q_1 = 25 Q, Q_2 = 20 Q, Q_3 = 147 Q, r_1 = 5 R, and r_2 = 2 R. Remember that a positive force points to the right and a negative force points to the left. What is the net force on charge Q_1? kQ^2/R^2 Tries 0/2 What is the net force on charge Q_2? kQ^2/R^2 Tries 0/2 What is the net force on charge Q_3? kQ^2/R^2 Tries 0/2 What is the sum of the forces on all three charges? kQ^2/R^2 Tries 0/2

Explanation / Answer

1. k( Q1Q2/ r1^2 + Q1Q3/ (r2+r1)^2 )

k/R^2 ( 25 x 20/ 25 + 25 x 147/ 49 ) = 95 k/R^2 N towards the left.

2. k( Q1Q2/ r1^2 - Q2Q3/ (r2^2 )

k/R^2 ( 20 x 25 / 25 - 20 x 147 /4 ) = 715 k/R^2 N towards the left.

3. k( Q1Q3/ (r1+r2)^2 + Q2Q3/ r2^2 )

k/R^2 ( 25 x 147/ 49 + 147 x 20/ 4) = k810 /R^2 N towards the right.

4. Sum= 1620 k/R^2 N

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