1. **Stating the problem:** We have a complex rectangular circuit with capacitors connected along edges with values involving $1/f0.4\mu F$, $2.5\mu F$, $30\mu F$, and $49\mu F$. The goal is to understand or simplify the capacitance arrangement in the circuit. 2. **Interpreting the given values:** - Capacitors on top edge: $\frac{1}{f0.4\mu F}$ (unclear notation, but assuming it's a constant), $2.5\mu F$, and $49\mu F$ in series. - Capacitors on bottom edge: $30\mu F$, $\frac{1}{f0.4\mu F}$, $2.5\mu F$, and $30\mu F$. 3. **Assumptions:** To solve, let's treat $1/f0.4\mu F$ as $\frac{1}{f \times 0.4 \mu F}$ where $f$ is a known frequency or constant, but since $f$ is unknown, we keep it as a symbolic variable. 4. **Capacitance in series:** Equivalent capacitance $C_{eq}$ for capacitors in series is given by $$ \frac{1}{C_{eq}} = \frac{1}{C_1} + \frac{1}{C_2} + ... $$ 5. **Calculate top edge equivalent capacitance $C_{top}$:** $$ \frac{1}{C_{top}} = \frac{1}{\frac{1}{f \times 0.4}} + \frac{1}{2.5} + \frac{1}{49} $$ Note that $\frac{1}{\frac{1}{f \times 0.4}} = f \times 0.4$ (units $\mu F$). So, $$ \frac{1}{C_{top}} = \frac{1}{f \times 0.4} + \frac{1}{2.5} + \frac{1}{49} $$ Since $f$ is unknown, we keep this expression symbolic. 6. **Calculate bottom edge equivalent capacitance $C_{bottom}$ in series:** $$ \frac{1}{C_{bottom}} = \frac{1}{30} + \frac{1}{\frac{1}{f \times 0.4}} + \frac{1}{2.5} + \frac{1}{30} = \frac{1}{30} + f \times 0.4 + \frac{1}{2.5} + \frac{1}{30} $$ Combine the constants: $$ \frac{1}{30} + \frac{1}{30} = \frac{2}{30} = \frac{1}{15} \approx 0.0667 $$ So, $$ \frac{1}{C_{bottom}} = 0.0667 + f \times 0.4 + 0.4 $$ But $\frac{1}{2.5} = 0.4$, so total: $$ \frac{1}{C_{bottom}} = f \times 0.4 + 0.4667 $$ 7. **Summary:** - Top edge equivalent capacitance: $$ \frac{1}{C_{top}} = \frac{1}{f \times 0.4} + 0.4 + 0.0204 $$ (since $\frac{1}{2.5}=0.4$, $\frac{1}{49} \approx 0.0204$) - Bottom edge equivalent capacitance: $$ \frac{1}{C_{bottom}} = f \times 0.4 + 0.4667 $$ 8. **Final expression:** The problem gives the capacitor arrangement. To find numeric values, the parameter $f$ must be known. If $f$ is known, substitute it to compute $C_{top}$ and $C_{bottom}$ using the above formulas. If the problem is to find total capacitance or simplify further, more context or $f$ is needed. **Hence, the main learning is how to combine capacitors in series and interpret complex terms symbolically pending further $f$ value.**