Three point charges, Q 1 = Q 2 = + 3 . 00 × 10 – 9 C and Q 3 , 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 Q 3 equal to if the electric field at O ( 0 , 0 ) c m is zero? (b) What are the magnitude and direction of the total electric force exerting on a q = – 5 . 00 × 10 – 10 C point charge placed at P ( – 2 . 00 , 0 ) c m ? (c) What would be the work done by electric force if 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) What are the magnitude and direction of electric field at point P contributed by Q 1 , Q 2 , Q 3 , and the charges on M and N? fig_q17_final.jpg
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