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Chapter 26: Q. 42 (page 739)
Use the on-axis potential of a charged disk from Chapter 25 to find the on-axis electric field of a charged disk
The electric field of charged disk is
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Each capacitor in FIGURE CP26.83 has capacitance . What is the equivalent capacitance between points and ?
What are the charge on and the potential difference across each capacitor in FIGURE ?
A nerve cell in its resting state 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. When the nerve cell fires, sodium ions,, flood through the cell wall to briefly switch the membrane potential to . Model the central body of a nerve cell-the soma-as a diameter sphere with a -thick cell wall whose dielectric constant is 9.0. 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 many sodium ions enter the cell as it fires?
Rank in order, from largest to smallest, the potential differences of the four capacitors in Figure Q26.12. Explain.
Figure Q26.2 shows the electric potential as a function of . Draw a graph of in this same region of space.
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