
Solution:
The arrangement appears to be a system of parallel plates connected alternately to terminals and . Let’s determine the net capacitance.
Key Observations:
- The plates form a series-parallel combination.
- The area of each plate is , and the separation between adjacent plates is .
- The effective configuration can be reduced to find the equivalent capacitance.
Equivalent Capacitance Derivation:
- Pairing of Plates:
- Adjacent plates (connected alternately) act as capacitors.
- Each capacitor has a capacitance .
- Parallel and Series Combination:
- There are three capacitors in the arrangement, effectively forming a single network.
- The middle plate shares equal charge with both sides, simplifying to an equivalent capacitance of .
Thus, the net capacitance is:
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