A capacitor, a capacitor, and a capacitor are connected in series. What is their equivalent capacitance?
The capacitance is .
We have given that capacitor, a capacitor, and a capacitor are connected in series.
We need to find that their equivalent capacitance.
Let ,, and . The capacity of a set of capacitors connected in series satisfies
By further solving,
Substituting the given values we find the following
A typical cell has a membrane potential of , meaning that the potential inside the cell is less than the potential outside due to a layer of negative charge on the inner surface of the cell wall and a layer of positive charge on the outer surface. This effectively makes the cell wall a charged capacitor. Because a cell's diameter is much larger than the wall thickness, it is reasonable to ignore the curvature of the cell and think of it as a parallel-plate capacitor. How much energy is stored in the electric field of a diameter cell with a thick cell wall whose dielectric constant is ?
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