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Two capacitors C 5 F and C 10 F are connected i... - SS2 Physics Electricity and Magnetism Question

Two capacitors, C₁ = 5 μF and C₂ = 10 μF, are connected in series. What is the total capacitance of the combination? 

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The total capacitance, Ctotal, is given by the reciprocal of the sum of the reciprocals of the individual capacitances:

1/Ctotal = 1/C₁ + 1/C₂ 

= 1/(5 μF) + 1/(10 μF) 

= (1/5 + 1/10) μF 

= 3/10 μF

Ctotal = 10/3 μF = 3.33 μF

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