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(13%) Problem 3: A neuron is a body cell that functions to create and transmit electrical signals. To do this, it uses chemical processes to maintain an electrical potential difference across its cell membrane. In this problem we will use our knowledge of electrical relationships to estimate the amount of charge on the membrane. Neurons come in a range of sizes, but a typical one may have a cell body of 20 µm ($2 \times 10^{-5}$ m) across. The thickness of the membrane is the same for most neurons -- about 5 nm ($5 \times 10^{-9}$ m). The potential difference across a resting nerve membrane is about 70 mV ($70 \times 10^{-3}$ V). We'll model a piece of the cell membrane 10 µm x 10 µm across as a pair of infinite parallel plates separated by a distance d = 5 nm, with one plate representing the inner edge of the membrane and the other representing the outer edge of the membrane.

          (13%) Problem 3: A neuron is a body cell that functions to create and transmit electrical signals. To do this, it uses chemical processes to maintain an electrical potential difference across its cell membrane. In this problem we will use our knowledge of electrical relationships to estimate the amount of charge on the membrane. Neurons come in a range of sizes, but a typical one may have a cell body of 20 µm ($2 \times 10^{-5}$ m) across. The thickness of the membrane is the same for most neurons -- about 5 nm ($5 \times 10^{-9}$ m). The potential difference across a resting nerve membrane is about 70 mV ($70 \times 10^{-3}$ V). We'll model a piece of the cell membrane 10 µm x 10 µm across as a pair of infinite parallel plates separated by a distance d = 5 nm, with one plate representing the inner edge of the membrane and the other representing the outer edge of the membrane.

$(13%) Problem 3: A neuron is a body cell that functions to create and transmit electrical signals. To do this, it uses chemical processes to maintain an electrical potential difference across its cell membrane. In this problem we will use our knowledge of electrical relationships to estimate the amount of charge on the membrane. Neurons come in a range of sizes, but a typical one may have a cell body of 20 µm ($2 \times 10^{-5}$ m) across. The thickness of the membrane is the same for most neurons -- about 5 nm ($5 \times 10^{-9}$ m). The potential difference across a resting nerve membrane is about 70 mV ($70 \times 10^{-3}$ V). We'll model a piece of the cell membrane 10 µm x 10 µm across as a pair of infinite parallel plates separated by a distance d = 5 nm, with one plate representing the inner edge of the membrane and the other representing the outer edge of the membrane.$

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