Question

Three point charges are placed on the x-axis as follows: 22 μC at x=0; 32 μC at x=0.40m; and -14 μC at x=1.2m

Part A Find the net force on the 22 μC point charge. Assume the direction of the x-axis as positive.

Part B Find the net force on the 32 μC point charge.

Answer 1

A) Force on charge 22 uC by 32 uC = kq1q2 / r1^2

= 9*10^9*22*10^-6*32*10^-6/ 0.4^2

= 39.6 N (to the left)

Force on charge 22 uC by -14 uC = 9*10^9*22*10^-6*14*10^-6 / 1.2^2

= 1.925 N ( to the right)

Net force on charge 22 uC = 39.6 - 1.925 = 37.675 N (to the left)

B)Force on charge 32 uC due to 22 uC = 39.6 N (to the right)

Force on charge 32 uC due to -14 uC = 9*10^9*32*10^-6*14*10^-6 / (0.8)^2

= 6.3 N ( to the right)

Net force on the charge = (39.6 + 6.3 ) = 45.9 N (to the right)