How do you calculate the total capacitance in a series combination of capacitors?

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

where C1, C2, C3, ..., Cn are the capacitances of the individual capacitors in the series combination.

To find the total capacitance, follow these steps:

Identify the values of all the capacitors (C1, C2, C3, ..., Cn) in the series combination.

Take the reciprocal of each individual capacitance (1/C1, 1/C2, 1/C3, ..., 1/Cn).

Sum up all the reciprocals.

Finally, take the reciprocal of the sum to find the total capacitance (C_total).

Mathematically, it can be represented as:

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

Keep in mind that the total capacitance in a series combination will always be smaller than the smallest capacitance among the capacitors in the combination since the formula involves adding the reciprocals.