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64 identical drops each of capacity 5microF combine to form abig drop capacity of the big drop will be


SHUBHRAJ SINGH RAJPUT 14th Oct, 2020
Answer (1)
ADITYA KUMAR Student Expert 16th Oct, 2020

Hi

The Capacitance of big drop will be 20μF

EXPLANATION

We have,

Volume of  big drop = 64 times the volume of small drop

or 4/3 π.R3 =64 x 4/3 π.r3

Or  R = 4r

Now, we know that  the capacitance for a  solid spherical body is  directly proportion to radius of the solid sphere

Then,

Capacitance of big drop

= 4 x capacitance of   small drop

=4 x 5

=20μF

Thank you

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