A force of 4N is acting between two charges In air. If the space between them is completely filled with glass (ε= 8) then the new force will be

Question

A force of 4N is acting between two charges In air. If the space between them is completely filled with glass (ε= 8) then the new force will be (A) 2 N (B) 5 N (C) 0.2N (D) 0.5N

Tardigrade Admin · Accepted Answer

The force between two charged particles having an intervening medium of permittivity

ε

is given as

\frac{1}{4 π ε o ε r} \frac{Q 1 Q 2}{r ^{2}}

.
Thus, introducing glass between the charges reduces the force by

ε (8)

times.
Thus, new force

= 0.5 N

.

Q. A force of 4N is acting between two charges In air. If the space between them is completely filled with glass (ε=8) then the new force will be

2 N

5 N

0.2N

0.5N

The force between two charged particles having an intervening medium of permittivity ε is given as 4πεoεr1​r2Q1Q2​. Thus, introducing glass between the charges reduces the force by ε(8) times. Thus, new force =0.5N.

Q. A force of 4N is acting between two charges In air. If the space between them is completely filled with glass $(ε = 8)$ then the new force will be

The force between two charged particles having an intervening medium of permittivity $ε$ is given as $\frac{1}{4 π ε o ε r} \frac{Q 1 Q 2}{r ^{2}}$ .
Thus, introducing glass between the charges reduces the force by $ε (8)$ times.
Thus, new force $= 0.5 N$ .