How do you calculate the total capacitance or inductance in series and parallel configurations?

Capacitors in Series:

When capacitors are connected in series, their reciprocal capacitances add up. To find the total capacitance (C_total), use the following formula:

1 / C_total = 1 / C1 + 1 / C2 + 1 / C3 + ... + 1 / Cn

Where C1, C2, C3, ..., Cn are the individual capacitances of each capacitor in the series configuration.

Capacitors in Parallel:

When capacitors are connected in parallel, their capacitances simply add together. To find the total capacitance (C_total) in this configuration, use the following formula:

C_total = C1 + C2 + C3 + ... + Cn

Where C1, C2, C3, ..., Cn are the individual capacitances of each capacitor in the parallel configuration.

Inductors in Series:

When inductors are connected in series, their inductances simply add together. To find the total inductance (L_total) in this configuration, use the following formula:

L_total = L1 + L2 + L3 + ... + Ln

Where L1, L2, L3, ..., Ln are the individual inductances of each inductor in the series configuration.

Inductors in Parallel:

When inductors are connected in parallel, their reciprocal inductances add up. To find the total inductance (L_total), use the following formula:

1 / L_total = 1 / L1 + 1 / L2 + 1 / L3 + ... + 1 / Ln

Where L1, L2, L3, ..., Ln are the individual inductances of each inductor in the parallel configuration.

Keep in mind that the unit of capacitance is farads (F), and the unit of inductance is henries (H). When dealing with microfarads (μF) or picofarads (pF) for capacitance, or millihenries (mH) for inductance, make sure to convert them to farads or henries, respectively, before performing the calculations.