A doubly‑ionized carbon atom (with charge +2e) is located at the origin of the x‑axis, and an electron (with charge −e) is placed at x=8.01 cm. There is one location along the x‑axis at which the electric field is zero. Give the x‑coordinate of this point in centimeters.
x‑coordinate:_________cm
Assume that the potential is defined to be zero infinitely far away from the particles. Unlike the electric field, the potential will be zero at multiple points near the particles. Find the two points along the x‑axis at which the potential is zero, and express their locations along the x‑axis in centimeters, starting with the point that is farther away from the origin.
x‑coordinate of the farther point:_____________cm
x-coordinate of the closer point: _____cm
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