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010 Two identical point charges, Q₁ = 0₂ 6.00 x 10 Care located at (-4.00 cm, 4.00 cm) and (-4.00 cm, -4.00 cm) respectively, as shown In Fig. 1.1. (a) What is the total electric field at the origin O? If Q3 is placed at (4.00 cm, 0), (b) what should Q3 be if the total electric field at the origin is zero? (c) With Q₁, Q₂, and Q3 in the positions indicated in (a) and (b), what would be the work done by electric force if q = -5.00 x 10 C is moved from point O to point P (2.00 cm, 0)? Two identical spherical shells (M and N) of radius 4.00 cm are added in space with the center of shell Mat (9.00 cm, 0) and shell N at (0, -9.00 cm), as shown in Fig. 1.2. If +10.0 × 10³ Cand -10.0* 109 Care uniformly distributed on M and N, respectively. (d) What are the magnitude and direction of electric field at point O contributed by Q₁, Q2, Q₁, and the charges on M and N? (e) Find the magnitude and direction of the electric force on a point charge q -5.00 × 10⁹ C if it is placed at O. Q₂. Fig. 1.1 Q 0 4X Q₁. Q₂. 0 P N Q3 22 OF 22 QUESTIONS REMAINING Fig. 1.2 M X