Find the total capacitance for three capacitors connected in series, given their individual
capacitances are 1.0 F, 5.0 F, and 8.0 F.

0.75F

When capacitors are connected in series, the reciprocal of their total capacitance is the sum of the reciprocals of their individual capacitances. In other words, when, say, three capacitors, C₁, C₂ and C₃ are connected in series, their total capacitance, C, is given by;

= + +  -------------------(i)

Now to solve the question,

Let;

C₁ = 1.0F

C₂ = 5.0F

C₃ = 8.0F

Substitute these values into equation (i) as follows;

= + +

Solve for C

=

=

C =

C = 0.75

Therefore, their total capacitance is 0.75F

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