Question

A charge, q1, of +11 micro-coulombs is located at x = 0, y = 6.3 cm, a charge q2 of -45 micro-coulombs is located at x = 0, y = -3.6 cm, an unknown charge of q3, is located at x =- 4.5 cm, y = 0 cm, and a charge, q4, -6 micro-coulombs is located at x = +10.6 cm, y = 0 cm. The direction of the total electric force on q4 is 130.2 degrees from the +x axis, counter-clockwise. What is the unknown charge, q3, in micro-coulombs? If negative, include a negative sign in your answer.

Answer 1

The electric force F=kq1q2/r^{​​​​​2}

^{r is distance between charge q1 and q2.}

the distance between two point (x1,y1) and (x2,y2) is r-

Where r^{​​​​​​2} =(x1-x2)² +(y1-y2)²

^{for two positive or negative changes force is repulsive (i.e. away from q1 or q2) and for one positive and one negative charge force is attractive(i.e. towards q1 or q2).}

For clockwisc ) because s hegative rx 149.856-2-36 C h 39.02 S in 3072 t 1g3:11Sin 18-76 - 2.003 Neuuton Fy Fac 14q523cCh 19n130.2'- -82.063 149.856223h _259.33 C289 2.30 ah 130.2° 92.63