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A cell membrane is a thin layer enveloping a cell. The

Chapter 18, Problem 16

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QUESTION:

Problem 16CQ

A cell membrane is a thin layer enveloping a cell. The thickness of the membrane is much less than the size of the cell. In a static situation the membrane has a charge distribution of −2.5×10−6 C/m 2 on its inner surface and +2.5×10−6 C/m2 on its outer surface. Draw a diagram of the cell and the surrounding cell membrane. Include on this diagram the charge distribution and the corresponding electric field. Is there any electric field inside the cell? Is there any electric field outside the cell?

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QUESTION:

Problem 16CQ

A cell membrane is a thin layer enveloping a cell. The thickness of the membrane is much less than the size of the cell. In a static situation the membrane has a charge distribution of −2.5×10−6 C/m 2 on its inner surface and +2.5×10−6 C/m2 on its outer surface. Draw a diagram of the cell and the surrounding cell membrane. Include on this diagram the charge distribution and the corresponding electric field. Is there any electric field inside the cell? Is there any electric field outside the cell?

ANSWER:

Solution 16CQ

Step 1 of 3

The shape of the cell can be considered as spherical with radius r. The thickness of the cell is considered as negligible compared to the size of the cell.

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