Relationships Between Force, Field, Energy, Potential Video Lessons

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Problem: Large electric fields in cell membranes cause ions to move through the cell wall. The field strength in a typical membrane is 1.0 x 107 N/C.(a) What is the magnitude of the force on a calcium ion with charge +e? (b)What is its acceleration?(c) Is it possible for a particle with the same charge as as calcium to have a different acceleration if placed at this location?(d) What would change the acceleration: mass of the particle? diameter of the particle?

FREE Expert Solution

Electric force:

F=qE

Newton's second law:

ΣF=ma

(a)

q = +e = 1.6 × 10-19 C

|F| = |q|•|E| = (1.6 × 10-19)(1.0 x 107) = 1.6 × 10-12 N

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Problem Details

Large electric fields in cell membranes cause ions to move through the cell wall. The field strength in a typical membrane is 1.0 x 107 N/C.

(a) What is the magnitude of the force on a calcium ion with charge +e? 

(b)What is its acceleration?

(c) Is it possible for a particle with the same charge as as calcium to have a different acceleration if placed at this location?

(d) What would change the acceleration: mass of the particle? diameter of the particle?

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