Three point charges, Q 1 = Q 2 = + 3 ….

Three point charges, Q 1 = Q 2 = + 3 . 00 × 10 – 9   C  and Q 3 = – 2 . 00 × 10 – 9   C , are located on a circular arc of radius R = 4 . 00   c m  with center O at ( 0 ,   0 ) c m , as shown in Fig. 1.1. (a) What is the total electric field at the center of the arc? (b) Find the magnitude and direction of the electric force that would be exerted on a q = – 5 . 00 × 10 – 9   C  point charge placed at O. (c) What would be the work done by electric force if q  is moved from point O to point P ( – 2 . 00 ,   0 ) c m ? Two identical spherical shells (M and N) of radius 4 . 00   c m  are added in space with the center of shell M at ( 3 . 00 ,   0 ) c m  and shell N at ( 0 ,   9 . 00 ) c m , as shown in Fig. 1.2. If + 5 . 00 × 10 – 9   C  and – 5 . 00 × 10 – 9   C  are uniformly distributed on M and N, respectively. (d) What are the magnitude and direction of electric field at point O contributed by Q 1 , Q 2 , Q 3 , and the charges on M and N? (e) Find the electric force that would be exerted on a q = – 5 . 00 × 10 – 9   C  point charge placed at O. fig_q17_final.jpg