Li+++ ion is a lithium atom who has lost all of its electrons. At a given instan

Question

Li+++ ion is a lithium atom who has lost all of its electrons. At a given instance, the distance of a proton from a Li+++ ion is 5E-10 m. the gravitational forces are negligible.

(a). Find the magnitude of the electric field at a point on the line that connects the two charges, between the charges, at a distance of 3E-10 m for the Li+++ ion.

(b). Find the electricpotential at the position of the proton due to Li+++ ion. Take the zero reference potential at infinity.

(c). At the instant we considered in (a) and (b) the protonLi+++ion are at rest. Find the TOTAL ENERGY OF THE SYSTEM when the two charges are infinately separated. (HINT: The total energy is the sum of the kinetic and potential energy).

Explanation / Answer

q1=3e

q2=e

d=distance bewteen proton and Li ion

d1=distance of point from q1

d2=d-d2

part a)

since both chareg are positive so net electric field

E=|E1-E2|

magnitudes of E1 and E2 are

E1=kq1/d12

E2=kq2/d22

part b)

V=kq1/d

part c)

at infinite distance PE=0

so total energy is KE

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