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

Question

Electric field produced by an electron at a point is E. What will be electric field produced by Li+++ at the same point if it is placed at position of electron ? (A) E (B) (E/2) (C) 3E (D) (E/3)

Tardigrade Admin · Accepted Answer

The magnitude of electric field produced, by electron at a point which at a distance

r

from the electron is

E = \frac{e}{4 π ε _{0} r ^{2}} \dots (i)

When the electron is replaced by the

L i^{+++}

the electric field produced at the same point is

E^{'} = \frac{3 e}{4 π ε _{0} r ^{2}} = 3 E

(Using

(i))

Q. Electric field produced by an electron at a point is $E$ . What will be electric field produced by $L i^{+++}$ at the same point if it is placed at position of electron ?

$E$

$\frac{E}{2}$

$3 E$

$\frac{E}{3}$

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

E

2E​

3E

3E​

The magnitude of electric field produced, by electron at a point which at a distance r from the electron is E=4πε0​r2e​…(i) When the electron is replaced by the Li+++ the electric field produced at the same point is E′=4πε0​r23e​=3E (Using (i))

Q. Electric field produced by an electron at a point is $E$ . What will be electric field produced by $L i^{+++}$ at the same point if it is placed at position of electron ?

$E$

$\frac{E}{2}$

$3 E$

$\frac{E}{3}$