If two \(2 \mu \mathrm{F}\) capacitors are connected in parallel with each other and the combination is then connected in series with a \(4 \mu \mathrm{F}\) capacitor, the net capacitance will be ____________
A. \(6.0 \mu \mathrm{F}\) B. \(4.0 \mu \mathrm{F}\) C. \(2.0 \mu \mathrm{F}\)
Correct Answer: C
Explanation
for \(2 \mu \mathrm{F} / / 2 \mu \mathrm{F}\) capacitor \(\mathrm{R}_{\mathrm{T}}=2 \mu \mathrm{F}+2 \mu \mathrm{F}=4 \mu \mathrm{F}\) for the series capacitors \(4 \mu \mathrm{F}\) series with \(4 \mu \mathrm{F}\) \(R_T=\frac{\text { product }}{\text { sum }}=\frac{4 \times 4}{4+4}=\frac{16}{8}=2 \mu \mathrm{F}\) Note: