User:Madhacker2000/sandbox


 * $$C_\mathrm{eq}= C_1 + C_2 + \cdots + C_n$$


 * $$\frac{1}{C_\mathrm{eq}} = \frac{1}{C_1} + \frac{1}{C_2} + \cdots + \frac{1}{C_n}$$


 * Voltage distribution in parallel-to-series networks.
 * To model the distribution of voltages from a single charged capacitor $$ \left( A \right)$$ connected in parallel to a chain of capacitors in series $$ \left( B_\text{n} \right) $$ :


 * $$ A_\mathrm{eq} = A - A \left( \frac{1}{n+1} \right) $$


 * $$ B_\text{1..n} = \left[ A - A \left( \frac{1}{n+1} \right) \right] /n $$


 * $$ A - B = 0 $$


 * Note: This is only correct if all capacitance values are equal.


 * The power transferred in this arrangement is:


 * $$ P = \frac{A \left( \frac{1}{n+1} \right) \left( C_\mathrm{A} + C_\mathrm{B} \right) }{R} $$