Force on dielectric in parallel plate capicitor

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SUMMARY

The force acting on a dielectric slab inserted between the plates of a parallel plate capacitor is given by the formula F = [8.85 * 10^-12]b(k-1)(V^2)/2d, where b is the width of the plates, d is the distance between the plates, V is the potential difference, and k is the dielectric constant. This force is identified as the electrostatic force of attraction between the charges on the plates. The discussion also addresses the constancy of this force despite the inverse square relationship with distance, indicating that the force remains stable as the dielectric is inserted.

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nik jain
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Force act on dielectric slab on inserting between the parallel plate = [8.85 * 10^-12]b(k-1)(V^2)/2d

where b = width of the plate , d = distance b/w the plates , V is the constant potential difference across the plates and k = dielectric constant

Which force is acting on dielectric slab in this case and who is acting this force on the slab and how this value comes ?
 
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nik jain said:
Force act on dielectric slab on inserting between the parallel plate = [8.85 * 10^-12]b(k-1)(V^2)/2d

where b = width of the plate , d = distance b/w the plates , V is the constant potential difference across the plates and k = dielectric constant

Which force is acting on dielectric slab in this case and who is acting this force on the slab and how this value comes ?

Hi nik jain!
What do you think which type of force should act?
To obtain this value of force, start by making a diagram of the capacitor when the dielectric is being inserted in the capacitor, suppose that x length of dielectric is inside the capacitor. The dimensions of capacitor are l and b. What is the equivalent capacity when the x length of dielectric is inside it.
 
I got it .

It is the electrostatic force of attraction b/w the charges .

One more question : Why its value remains constant as the distance(r) b/w the charges goes on decreasing and magnitude of force of attraction is inversely proportional to r^2 ?
 

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