Question

1.1 CUUIUIUS Law 6. Figure below shows the three point charges are placed in the shape of triangular. 43 6 113 Determine the magnitude and direction of the resultant electric force exerted on . Given 91=-1.2 °C, 92=+3.7 °C, q3=-2.3 uC, r12=15 cm, r 13=10 cm, 0=32º and k = 9.0 x 109 N m c ?. (3.78 N at 34.2° below tve x-axis)

Answer 1

Ains: Given that, 1 = -1.auC , ^2= 3.7 uc ,^3= -^.3JAC Mw K= ax10 N.m. c. = 15 cm , Yi3= 10cm ,e 320 2 is positive and q, is neqative .So q2 attracts 3 is negative So 3 93 е repells q Y12 Net Fore in 1-direction. Free body diagram :- k.af.QB AB Fi2 Fi3 sine Fx Fx KlA2K 119 sin F12 Tiz Fi3sine a.3xi sin3 Fx =qx10. (1.2 X106)3.7x10 Co. 15) F13 Co-10 cCOse Fi3 Fx3.09232 Net Force in y-direction:- Fy = - F13 COSe= - K|4||93| Cos (32) x1o. (.2x1)(2.3 X10). cOs(32 Fy = -a.1065 N. (o.10) tohere FRI FF Resultant Force C3.09232)(-2.1065)= 3.7416 N, OR = tan1 ( Fy.). FRI= Fx = 3.t4 /-34.2 N BR - 3.1065 - 34.26 3.09232 Fu Resultant Electric Force F = 3.14 N at 34.2 ve -ais belouw