Question

Written problem #1 Y-axis Find the total electrical force on charge 91 due to the other three charges. 12 .Report your answer as the magnitude and the angle above/below the x-axis. 3 cm 3 cm 91 X-axis (3 Charge values 11.0 nC 25.0 nC q3-3.0 nC 43.0 nC 94

Answer 1

Given q_1 = lnc, q_2 = 5nc q_3 = -3nc q_4 = 3nc rightdoublearrow Angle theta_1 = tan^-1 (y component/x component) therefore theta_1 = tan^-1 (3 cm/3 cm) theta_1 = 45 degree Similarly theta_2 = tan^-1 (3cm/3 cm) = 45 degree Distance b/w q_1 and q_2, D_12 = squareroot(3)^2 + (3)^2 = 3 squareroot 2 cm Similarly, Distance b/w q_1 and q_4 D_14 = 3 squareroot 2 cm therefore Force b/w two charge separated by distance d is F = 1/4 pi epsilon_0 q_1 q_2/d^2 { 1/4 pi epsilon asymptoticallyequally 9 times 10^9 N m^2/c^2} therefore F_12 = 1/4 pi epsilon_0 q_1 q_2/(D_12)^2 = 9 times 10^9 times 1 times 10^-9 times 5 times 10^-9/(3 squareroot 2)^2 F_12 = 2.5 times 10^-9 N rightdoublearrow Similarly F_13 = 9 times 10^9 times 1 times 10^-9 times -3 times 10^-9/(6)^2 = -0.75 times 10^-9 N F_14 = 9 times 10^9 times 1 times 10^-9 times 3 times 10^-9/(3 squareroot 2)^2 = 1.5 times 10^-9 N