A combination of parallel plate capacitors is maintained at a certain potential difference.

When a $3mm$ thick slab is introduced between all the plates, in order to maintain the same potential difference, the distance between the plates is increased by $2 . 4mm$ . Find the dielectric constant of the slab.

Question

A combination of parallel plate capacitors is maintained at a certain potential difference.

When a

3mm

thick slab is introduced between all the plates, in order to maintain the same potential difference, the distance between the plates is increased by

2 . 4mm

. Find the dielectric constant of the slab.

Quantrex Academy · Accepted Answer

Correct answer: D. 5

Assume initial separation as 3mm each capacitance C _ 1 = ε _ 0 A 3 before C _ 1 = k ε _ 0 A 3 . ε _ 0 A 2.4 k ε _ 0 A 3 + ε _ 0 A 2.4 to get same capacitance ε _ 0 A 3 = k ε _ 0 A 3 . ε _ 0 A 2.4 k ε _ 0 A 3 + ε _ 0 A 2.4 3k = 2.4k + 3 0.6k = 3 ⇒ k = (3)/(0.6) k = (30)/(6) = 5 .

A combination of parallel plate capacitors is maintained at a...

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