Electrostatics Question 268

Question: To form a composite $ 16\mu F,\ 1000V $ capacitor from a supply of identical capacitors marked $ 8\mu F,\ 250V $ , we require a minimum number of capacitors [MP PET 1996; AIIMS 2000]

Options:

A) $ 0.34\ m $

B) $ 1.33\ m $

C) $ 13.4\ m $

D) $ 33.9\ m $

Show Answer

Answer:

Correct Answer: D

Solution:

If length of the foil is l then $ C=\frac{k{\varepsilon _{0}}(l\times b)}{d} $

therefore $ 2\times {{10}^{-6}}=\frac{2.5\times 8.85\times {{10}^{-12}}(l\times 400\times {{10}^{-3}})}{0.15\times {{10}^{-3}}} $

therefore l = 33.9 m



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