What is the total capacitance in units of mF, of the two capacitors connected in series, as shown in the diagram, when C1 = 45 mF and C2 = 26 mF?
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Answer:
16.7 mF
Explanation:
The total capacitance of two capacitors connected in series is given by the formula:
[tex]\frac{1}{C}=\frac{1}{C_1}+\frac{1}{C_2}[/tex]
in our problem, we have:
C1 = 45 mF is the capacitance of the first capacitor
C2 = 26 mF is the capacitance of the second capacitor
Substituting into the equation, we find:
[tex]\frac{1}{C}=\frac{1}{45 mF}+\frac{1}{26 mF}=0.06 mF^{-1}\\C=\frac{1}{0.06 mF^{-1}}=16.7 mF[/tex]
The total capacitance will be 16.12mF
The total capacitance in series is calculated by
1/Ct = 1/C1 + 1/C2 + 1/C3 .........
1/Ct = 1/ 45 + 1/26
1/Ct = 0.022 + 0.04
1/Ct = 0.062
Ct = 16.12mF