Force between two identical charges placed at a distance of r in vacumm is F.Now a slab of dielectric constant 4 is ijnserted between these two charges . If the thickness of the slab is r//2, then the force between the charges will becomes
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answer : option (c) 4F/9
explanation :Let charge on each particle is q.
given, force between particles placed at a
distance of r in vaccum is F.
so, F = kq²/r² ......(1)
now, a slab of dielectric constant , k = 4 is
inserted between these two charges. and
also given thickness of slab , t = r/2
so, now force will be F' = kq²/(r + t√k - t)²
= kq²/(r + r/2 × √4 - r/2)²
= kq²/(r + r - r/2)²
= kq²/(3r/2)²
= 4kq²/9r²......(2)
from equation (1),
F' = 4F/9
hence, force between the charges will
become 4F/9.
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