Two fixed, equal, positive charges, each of magnitude 5 × 1 0 − 5 C are located at points A and B separated by a distance of 6 m. An equal and opposite charge moves towards them along the line COD, th

Question

Two fixed, equal, positive charges, each of magnitude 5 × 1 0 − 5 C are located at points A and B separated by a distance of 6 m. An equal and opposite charge moves towards them along the line COD, the perpendicular bisector of the line AB .

TestHub · Accepted Answer

On the perpendicular bisector: V = 9 + x 2 ​ 2 k Q ​ , Q = 5 × 1 0 − 5 C. At C ( x = 4 ): V C ​ = 5 2 × 9 × 1 0 9 × 5 × 1 0 − 5 ​ = 1.8 × 1 0 5 V. Energy ( q = − 5 × 1 0 − 5 C, at rest at D): K C ​ + q V C ​ = q V D ​ ⇒ 4 = ( − 5 × 1 0 − 5 ) ( V D ​ − 1.8 × 1 0 5 ) ⇒ V D ​ = 1 0 5 V. 9 + d 2 ​ 9 × 1 0 5 ​ = 1 0 5 ⇒ d = 72 ​ = 8.49 m

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