Question

In the image are three point charges, Q₁ = 15.4 μC, Q₂ =-34.6 μС, and Q₃ = 57.3 μC, arranged according to the figure. A fourth point charge is located at point A with a charge of Q_A = 13.5 μC. The charges form a square with height y of 50.1 cm and width x of 50.1 cm. Calculate the magnitude of the net force on the charge at point A.

 magnitude =

Answer 1

The force acting on the charge QA due to charge Q is given by, 1A 10 13.5t (50.1- e) 501 cm 1cm )) Cinm -(7.45 N)(i The force acting on the charge Qa due to charge Q2 is given by,

10-6 с 10° C 10-2 m cm-1 10-2 m 10 m 50.1 cm 10-2 m +50.1 cm-j (5.92 N)(-i )-(5.92 N)(-j The force acting on the charge QA due to charge Q3 is given by,

A12 (9x10, N-m2 /C2)| 57.34G 10-6 C 1 uC 13.5 C 10-6 с 1 uC -(27.7N)() The net force acting on the charge placed at A is given by, =(7.45 N)(i)-(5.92 N)(-1)+(5.92 N)(-i)-(27.7 N)(j -1.53 N(i)-21.78 N(j) The magnitude of the net force is given by,

1.53 N)(21.78 N) 21.8 N