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Physics Question on Electric charges and fields

Electric field produced by an electron at a point is EE. What will be electric field produced by Li+++Li^{+++} at the same point if it is placed at position of electron ?

A

EE

B

E2\frac{E}{2}

C

3E3E

D

E3\frac{E}{3}

Answer

3E3E

Explanation

Solution

The magnitude of electric field produced, by electron at a point which at a distance rr from the electron is E=e4πε0r2…(i)E=\frac{e}{4\pi\varepsilon_{0} r^{2}} \ldots\left(i\right) When the electron is replaced by the Li+++Li^{+++} the electric field produced at the same point is E′=3e4πε0r2=3EE'=\frac{3e}{4\pi\varepsilon_{0} r^{2}}=3E (Using (i))\left(i\right))