3.1. The three point charges in the rectangular figure below are each \( 7.0 \mu \mathrm{C} \), that is, \( q 1=q 2=q 3=7.0 \mu \mathrm{C} \). Using a \( =50 \mathrm{~cm} \), calculate the: (a) Magnitude and direction of the force on the top right charge q1 due to the other charges. (6)
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(II) Three charged particles are placed at the corners of an equilateral triangle of side 1.20$\mathrm { m }$ (Fig. $53 ) .$ The charges are $+ 7.0 \mu \mathrm { C } , - 8.0 \mu \mathrm { C } ,$ and $- 6.0 \mu \mathrm { C }$ Calculate the magnitude and direction of the net force on each due to the other two.
(II) Three charged particles are placed at the corners of an equilateral triangle of side 1.20 $\mathrm{m}$ (Fig. $16-53$ ). The charges are $+4.0 \mu \mathrm{C},-8.0 \mu \mathrm{C}$ , and $-6.0 \mu \mathrm{C}$ . Calculate the magnitude and direction of the net force on each due to the other two.
Point charges $q_{1}=10 \mu \mathrm{C}$ and $q_{2}=-30 \mu \mathrm{C}$ are fixed at $r_{1}=(3.0 \hat{\mathbf{i}}-4.0 \hat{\mathbf{j}}) \mathrm{m}$ and $r_{2}=(9.0 \hat{\mathrm{i}}+6.0 \hat{\mathrm{j}}) \mathrm{m} .$ What is the force of $q_{2}$ on $q_{1} ?$
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