Finding Zero Potential Points on the x-axis with Two Charges

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To find the points along the x-axis where the electric potential is zero due to two charges, a 3μC charge at 14 cm and a -4μC charge at 15 cm, one must consider the scalar nature of electric potential. The potential at a point is determined by the distances from that point to each charge, leading to the equation V1 = -V2 for points between and outside the charges. The discussion emphasizes solving for the distances in relation to the charges and suggests examining three cases: between the charges and on either side. The potential will be zero where the contributions from both charges cancel each other out. Understanding the relationship between charge, distance, and potential is crucial for finding these zero potential points.
andy2004
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Two charges are placed along the x-axis; 3uC at 14 cm, and -4uC at 15 cm. Find those points along the x-axis where the potential is zero. (u = micro or 10^-6)
 
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Well, what have you done? you know potential is a scalar quantity, simply solve for r.
 
when i solve it, the v=q/r which means r = q/v, if v=0 then r=q/0. does that means r= infinite or r=zero. I am thinking infinite.
 
Andy, the r's in the equation is the distance from the particular charge up to the point where you want to calculate the potential. Write r2 in terms of r1 and the separation beween them before you solve for V1 = -V2. Try to solve for all three cases in between the two charges and on both sides outside of the two.
 

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