Getting the capacitance in combination of parallel and series

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SUMMARY

The discussion centers on calculating the total capacitance of a circuit involving both parallel and series connections. The circuit includes a 3mF capacitor in parallel with a series combination of 11mF and 9mF, as well as another series combination of 12mF and 6mF. The correct approach involves first calculating the equivalent capacitance of the series capacitors using the reciprocal sum formula, followed by adding the resulting capacitances in parallel. The final capacitance must be less than 9mF, confirming the calculations are accurate.

PREREQUISITES
  • Understanding of capacitance and its units (mF, μF)
  • Knowledge of series and parallel capacitor combinations
  • Familiarity with the reciprocal sum formula for series capacitors
  • Basic circuit analysis skills
NEXT STEPS
  • Study the reciprocal sum formula for calculating series capacitance
  • Learn about the principles of combining capacitors in parallel
  • Explore practical examples of capacitance calculations in circuits
  • Review the differences between microfarads (μF) and millifarads (mF)
USEFUL FOR

Electronics students, circuit designers, and anyone involved in capacitor calculations and circuit analysis will benefit from this discussion.

gem123456789
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the given is 3mF is parallel to
11mF and 9mF in series connection and it is also parallel to
12mf and 6mf series connection
my answer to this is 1.17*10^-5 is this correct
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You can't go wrong if you tackle it in the right order. First, the two series Cs (12 and 6) are easy to reduce (the reciprocal sum thing), then you have three in parallel, which you can add up. Then include the final series C.
Doing it in my head, I don't get the same result as you do- but you need to have done it in the right order!
Remember that two Cs in series always have an equivalent value less than the smaller one (as a check) so the final answer MUST be less than 9mF (μF or uF?)
 

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