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Question

Physics Question on Capacitors and Capacitance

The equivalent capacitance of the combination of the capacitors is

A

3.20 ??3.20\,??

B

7.80 ??7.80\,??

C

3.90 ??3.90\,??

D

2.16 ??2.16\,??

Answer

3.20 ??3.20\,??

Explanation

Solution

Equivalent capacitance of two parallel capacitors 10 μF10\,\mu F and 6 μF=(10+6)μF=16 μF6\,\mu F=\left(10+6\right)\mu F=16\,\mu F This 16 μF16\,\mu F capacitor is in series combination with 4 μF4\,\mu F capacitor, ∴\therefore Equivalent capacitance of the entire combination =16×416+4=6420=3.2 μF=\frac{16\times4}{16+4}=\frac{64}{20}=3.2\,\mu F