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(D) $1$. Analyze the circuit diagram. The circuit consists of four capacitors,each of $3\,\mu F$.$2$. Identify the parallel and series combinations. T

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$5$

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(D) $1$. Analyze the circuit diagram. The circuit consists of four capacitors,each of $3\,\mu F$.$2$. Identify the parallel and series combinations. Two capacitors are in parallel,which are in series with a third capacitor. This entire combination is in parallel with the fourth capacitor.$3$. The two capacitors in parallel have an equivalent capacitance of $C_p = 3\,\mu F + 3\,\mu F = 6\,\mu F$.$4$. This $6\,\mu F$ capacitor is in series with another $3\,\mu F$ capacitor. Their equivalent capacitance $C_s$ is given by $\frac{1}{C_s} = \frac{1}{3} + \frac{1}{6} = \frac{2+1}{6} = \frac{3}{6} = \frac{1}{2}$,so $C_s = 2\,\mu F$.$5$. Finally,this $2\,\mu F$ combination is in parallel with the remaining $3\,\mu F$ capacitor. The total equivalent capacitance is $C_{eq} = 2\,\mu F + 3\,\mu F = 5\,\mu F$.

In the given circuit,each capacitor has a capacitance of $3\,\mu F$. What is the equivalent capacitance between points $A$ and $B$ in $\mu F$?

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