Physics

Physics

Problem

Charges q1=+3 μCq_1=+3\,\mu\text{C} at P(−2 cm,1 cm,0)P(-2\,\text{cm},1\,\text{cm},0) and q2=−6 μCq_2=-6\,\mu\text{C} at Q(1 cm,−3 cm,2 cm)Q(1\,\text{cm},-3\,\text{cm},2\,\text{cm}) are in vacuum. (i) Determine the unit vector r^21\hat{\mathbf r}_{21} from q2q_2 to q1q_1. (ii) Obtain the force F12\mathbf F_{12} on q1q_1 due to q2q_2 in vector form. (iii) Hence write F21\mathbf F_{21} and verify the relationship between F12\mathbf F_{12} and F21\mathbf F_{21}. a. Determine the unit vector r^21\hat{\mathbf r}_{21} from q2q_2 to q1q_1. b. Obtain the force F12\mathbf F_{12} on q1q_1 due to q2q_2 in vector form. c. Hence write F21\mathbf F_{21} and verify the relationship between F12\mathbf F_{12} and F21\mathbf F_{21}.

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