- #1

astenroo

- 47

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## Homework Statement

Hi again!

I've been handed an assignment in which we are to find the capacitance of a variable capacitor consisting of seven semicircular plates with a radius of 2 cm spaced 1 mm from each other. Every other plate is connected to a common +terminal, and every other to a common -terminal. We are to find the capacitance at different angles.

## Homework Equations

Area of a circle sector is A=[tex]\frac{\alpha}{360\circ}\pi r^{2}[/tex]

The capacitance C=[tex]\frac{\epsilon_{0}A}{d}[/tex]

[tex]\alpha = angle[/tex]

and d=distance between plates

C for parallell coupling is C=C1+C2+C3+C4+C5+C6

## The Attempt at a Solution

Now, my intuition tells me that this variable capacitor could be treated as six capacitors in parallell. Is my intuition right or did I make serious blunder? Calculating the areas is straight forward, and iff it can be treated as a parallell coupling of capacitors, then that part is also straight forward. My actual problem statement is, can a variabel capacitor be treated as parallell coupled capacitor?