Two \(2 \mu F\) capacitors are connected in parallel. The combination is connected in series with a \(6 \mu F\) capacitor What is the equivalent capacitor for the combination?
A. \(10.0 \mu F\) B. \(8.0 \mu F\) C. \(1.5 \mu F\) D. \(2.4 \mu F\)
Correct Answer: D
Explanation
When capacitors are connected in parallel. \(R_{T}=R_{1}+R_{2}+R_{3} \ldots\) When connected in series, $$ \frac{1}{R_{T}}=\frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}} \ldots $$onncction in parallel (Total) \(=2 \mu F+2 \mu F=4 \mu F\)onnection in series, \(\frac{1}{T}=\frac{1}{4}+\frac{1}{6}\) \(T=2.4 \mu F\)
