In the figure particles with charges q 1 = +3 e and q 2 = -13 e are fixed in pla

Question

In the figure particles with charges q1 = +3e and q2 = -13e are fixed in place with a separation of d = 23.5 cm. With V = 0 at infinity, what are the finite (a)positive and (b) negative values of x (in cm) at which the net electric potential on the x axis is zero?

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In the figure particles with charges q1 = +3e and q2 = -13e are fixed in place with a separation of d = 23.5 cm. With V = 0 at infinity, what are the finite (a)positive and (b) negative values of x (in cm) at which the net electric potential on the x axis is zero?

Explanation / Answer

So if V is zero, then q1 / -x + q2 / d-x = 0 or (d -x ) q1 = q2 (x) if we define ? =q2 / q1 = -13/3 = -4.33 then d - x = ?x or d = x + ?x or d = x ( 1 +?) x = d / ( 1 + ?) = 23.5 / (1 - 4.33) = -7.057cm

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