Question

List all possible capacitances that can be achieved using three capacitors with values of 1 µF, 2 µF, and 3 µF.

Answer 1

The possible capacitances that can be achieved using three capacitors with values of 1 µF, 2 µF, and 3 µF are 6 µF in both series and parallel connections.

Step-by-step explanation:

To find all possible capacitances that can be achieved using three capacitors with values of 1 µF, 2 µF, and 3 µF, you need to consider different combinations of these capacitors in series and parallel connections.

Series connection: When capacitors are connected in series, the total capacitance is given by the reciprocal of the sum of the reciprocals of individual capacitances.

So, for the given capacitors, the possible series capacitances are:

1. 1 µF + 2 µF + 3 µF = 6 µF
2. 1 µF + 3 µF + 2 µF = 6 µF
3. 2 µF + 1 µF + 3 µF = 6 µF
4. 2 µF + 3 µF + 1 µF = 6 µF
5. 3 µF + 1 µF + 2 µF = 6 µF
6. 3 µF + 2 µF + 1 µF = 6 µF

Parallel connection: When capacitors are connected in parallel, the total capacitance is the sum of individual capacitances.

So, for the given capacitors, the possible parallel capacitances are:

1. 1 µF + 2 µF + 3 µF = 6 µF