chalte chalte capacitance

Subjective type:

64 drops of a liquid each of capicitance 1Î¼F coalese, the capacitance of the new drop is________

2 Answers

we know that for a spherical drop

C is directly proportional to R (radius)

so here if we let radius of each small drop be `r` , then we have that radius of the bigger drop would be 4r.(equating the volumes of the both)

so we have that the capacitance of the bigger drop would be 4C.

106

Asish Mahapatra ·2009-05-24 19:03:50

C of a spherical capacitance = 4Î Îµ₀R , R=radius of sphere
Now, 1Î¼F = 4Î Îµ₀R
==> R = 1Î¼F/4Î Îµ₀

now radius of the new sphere will be 4 times the individual spheres
[let the radius be r. then 4/3*Î *r³ = 64*4/3*Î *R³ giving r'=4R]

So, the new capacitance will be C = 4Î Îµ₀r = 4Î Îµ₀*4R
= 4Î¼F

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