Physics
posted by Lauren .
A +3.0 nC charge is at x=0 cm and a 1.0 nC charge is at x=4 cm. At what point or points on the xaxis is the electric potential zero?

Wherever 3/x  1/4x = 0 , the electric potential is zero.
x is the distance from the +3 nC charge and 4x is the distance from the 1 nC charge.
To omit the absolute value   signs and solve algebraically, you need to write and solve separate equations for x<0, 0<x<4 and x>4
For 0<x<4,
3/x  1/(4x) = 0
3/x = 1/(4x)
12  3x = x
x = 3
See if there are solutions in the other regions.
Respond to this Question
Similar Questions

PHYSICS
A 3.0 nC charge is on the xaxis at x = 10 cm and a +4.0 nC charge is on the xaxis at x = 20 cm. At what point or points on the yaxis is the electric potential zero? 
physics
Two point charges, q1 and q2, are placed 0.30 m apart on the xaxis, as shown in the figure above. Charge q1 has a value of –3.0 x 10–9 C. The net electric field at point P is zero Q: Calculate the magnitude of charge q2. Q: Calculate … 
Physics  Electromagnetism
A charge +q is at the origin. A charge –2q is at x = 2.00 m on the x axis. For what finite value(s) of x is (a) the electric field zero? 
physics, help! urgent!
A positive point charge q = +2.50 nC is located at x = 1.20 m and a negative charge of ƒ{2q = ƒ{5.00 nC is located at the origin. (a) Sketch the electric potential verses x for points on the xaxis in the range 1.50 m < x < … 
Physics
A point charge Q1=2 microcoulomb is located at x=0, and a point charge Q2=+8 microcoulomb, is placed at x=0.5 on the x axis of a cartesian coordinate system.The goal of this problem is to determine the electric field,at various points … 
physics
Three point charges lie in a straight line along the yaxis. A charge of q1 = 9.20 µC is at y = 6.60 m, and a charge of q2 = 8.00 µC is at y = 3.90 m. The net electric force on the third point charge is zero. Where is this charge … 
physics
Three point charges lie in a straight line along the yaxis. A charge of q1 = 9.80 µC is at y = 6.00 m, and a charge of q2 = 8.20 µC is at y = 4.10 m. The net electric force on the third point charge is zero. Where is this charge … 
Physics
Electric charge charge is distributed uniformly along a thin rod of length "a", with total charge Q. Take the potential to be zero at infinity find the potential at P. If z>>a, what would be the potential at p? 
physics
WA 10.0 nC point charge and a +20.0 nC point charge are 15.0cm apart on the xaxis.hat is the electric potential at the point on the xaxis where the electric field is zero? 
Physics
Three point charges lie in a straight line along the yaxis. A charge of q1 = 9.10 µC is at y = 6.70 m, and a charge of q2 = 7.70 µC is at y = 3.60 m. The net electric force on the third point charge is zero. Where is this charge …