Question

why is force inversely proportional to the permittivity of the medium?

Answer 1

Explanation:

Because, PERMITTIVITY means that:- the ability of a medium to hold the potential energy of a charge by means of electric field,

OR,

the resistance produced by a medium to disrupt the flow of charges and the interaction of Electric field.

suppose:- there are two charges (+q1) and (+q2) and they are placed in free space so, the force acting between them is:- F=(1/4πE)*{(q1*q2)/r²} ,but when they placed in a medium for example a tank full of Hydrogen gas then (as we know every atom is a dipole) the flow of charges and the interaction of electric field gets disrupted by the positive and negative charges present in an atom. Due to this the force experienced by the charges also reduced.

[ THEREFORE THE FORCE IS INVERSELY proportional to the PERMITTIVITY of the membrane. ]

Answer 2

Permittivity is the property to material to offer hindrance to charge to interact with one another hence force and permittivity have inverse relation

Explanation:

• Permittivity of any given material is the property of material to offer obstruction to the flow of charge or hindrance between charges to interact. It also defined as the property of medium to store electric field in it in case of capacitors
• Force between two charges separated by some distance depends on product of charges and inversely on the square of distance between them, the proportionality constant is given as permittivity of the medium

                                       F ∝ q₁q₂        ........(1)

                                       F∝1/r²             .......(2)

q₁ ,q₂ = charges

r = separation between the charges

                        => F = $\frac{q_{1}q_{2} }{4\pi E r^{2} }$

∈ = permittivity of medium

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