Asymptotic Field Lines

Consider two charges q1=3 μCq_{1}=3~\mu\text{C} and q2=1 μCq_{2}=1~\mu \text{C} located at points A and B, separated by a distance AB=10 cm\overline{AB}=10~\text{cm}. Since both charges have the same sign, any field emanating from one of the charges will go off to infinity. It is clear, that far away from the charges, the field lines become straight lines, and therefore, they have oblique asymptotes. Consider a field line exiting the charge q1q_{1} at α=45\alpha=45^{\circ} (as shown in the figure). Let C denote the point where the oblique asymptote corresponding to this line intersects AB\overline{AB}. Determine the distance AC\overline{AC} in centimeters.

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