Question

64 समरूप बूंदें जिनमें प्रत्येक की धारिता 5 uF हैं मिलकर एक बड़ा बूंद बनाते हैं। बड़े बूंद की धारिता क्या होगी

Answer 1

Answer:

Capacitance of one big drop is 20 micro farad

Explanation:

Capacitance of a spherical capacitor is given as

$C = 4\pi\epsilon_0R$

now we can say that let each drop is of radius R

when 64 such drops are combined to make a big drop then by volume conservation we have

$64(\frac{4}{3}\pi R^3) = \frac{4}{3}\pi r^3$

so we have

$r = 4R$

Now we can say

$C' = 4\pi\epsilon_0(4R)$

so we have

$C' = 4C$

$C' = 4(5\mu F)$

$C' = 20 \mu F$

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Topic : Capacitance

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