Four capacitors are connected as shown in figure. If $C_1 =2 μF, C_2 =3 μF, C_3=5 μF$ and $C_4=10 μF$, the equivalent capacitance between point A & B will be: |
20 μF 5 μF 10 μF 0 μF |
5 μF |
The correct answer is Option (2) → 5 μF $C_{AC}=C_1+C_2+C_3$ [Capacitors in Parallel] $=(2+3+5)μF$ $=10μF$ Now, $\frac{1}{C_{AB}}=\frac{1}{C_{AC}}+\frac{1}{C_{BC}}$ [Capacitor in series] $\frac{1}{C_{AB}}=\frac{1}{10}+\frac{1}{10}⇒C_{AB}=\frac{10}{2}μF$ $⇒C_{AB}=5μF$
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