Body cell membrane electric field (a) Determine the average...

Body cell membrane electric field (a) Determine the average magnitude of the $\vec{E}$ field across a body cell membrane. A 0.07 -V potential difference exists from one side to the other and the membrane is $7.5 \times 10^{-9} \mathrm{m}$ thick. (b) Determine the magnitude of the electrical force on a sodium ion (charge $+e )$ in the membrane. Assume that the dielectric constant is 1.0 (it is actually somewhat larger).

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Key Concepts

Electric Potential Difference

This is the difference in electric potential (voltage) between two points. It represents the work required to move a unit charge from one point to the other, and is fundamental for determining the strength of the electric field in various systems.

Electric Field

The electric field is a vector field that represents the force per unit charge at every point in space. It is commonly calculated as the voltage difference divided by the distance over which the change occurs for a uniform field, and is a central concept in understanding how charges interact and respond to forces.

Force on a Charge

The force experienced by a charged particle in an electric field is given by the product of the charge and the electric field (F = qE). This relationship is crucial for predicting the motion of charged particles and is widely applied across areas like physics and electrical engineering.

Dielectric Constant

The dielectric constant is a measure of how much a material can reduce the electric field compared to a vacuum. It determines how an electric field is modified in a medium and affects calculations involving capacitance and the behavior of fields in different materials.

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