Question on: SS2 Physics - Electromagnetism
Three capacitors, C1, C2, and C3, are connected in series. C1 has a capacitance of 4 μF, C2 has a capacitance of 6 μF, and C3 has a capacitance of 8 μF. What is the total capacitance of the combination?
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The total capacitance of capacitors connected in series is given by the reciprocal of the sum of the reciprocals of the individual capacitances.
1/Total capacitance = 1/C1 + 1/C2 + 1/C3
1/Total capacitance = 1/4 μF + 1/6 μF + 1/8 μF
1/Total capacitance = (3/12 + 2/12 + 3/24) μF
1/Total capacitance = 8/24 μF
1/Total capacitance = 1/3 μF
Total capacitance = 3 μF
Therefore, the total capacitance of the combination is 3 μF.
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