Question

A charge, q1, of -8 micro-coulombs is located at the origin, a charge, q2, of -10 micro-coulombs is located at x = 0 cm, y = +5.1 cm, a charge, q3, of +7 micro-coulombs is located at x = 0 cm, y = -3.6 cm, and a charge, q4, of +2 micro-coulombs is located at x = 8.5 cm, y = 0 cm. What is the magnitude of the total electric force on q2 (charge on the +y axis) in Newtons?

Show all work please.

Answer 1

The position of the charge q is, The position of the charge q2 is, r, =0+ 0.051 The position of the charge q is, r, = 0i-0.036,j The position of the charge q4 is, = 0.085i +0j The force on the charge q2 is,

12 -10x10-6C(0.05 1j-(-0.036/)) 0.051j+0.036j) -8x10-6 C(0.051) t 0.051j) (9x101010*c) 7x10-6 C(0.051j-0.085i) k0.051j-0.085i)f -90x10) (3.08x10"j-365x10 -54.9i +18j +037x10",-061x10*) The magnitude of the force is, Al-,64.9)2 +(18)2 57.78 N