A potential difference of 84 mV exists between the inner and outer surfaces of a

Question

A potential difference of 84 mV exists between the inner and outer surfaces of a cell membrane. The inner surface is negative relative to the outer surface. How much work is required to eject a positive sodium ion (Nat) from the interior of the cell? Need Help? L watch It Talk to a Tutor My Notes Ask Your Teacher 2. -12.5 points SerCP9 16.P007.MI.FB oppositely charged parallel plates are separated by 4.13 mm. A potential difference of 600 V exists between the plates. (a) What is the magnitude of the electric field between the plates? N/C (b) What is the magnitude of the force on an electron between the plates? N (c) How much work must be done on the electron to move it to the negative plate if it is initially positioned 2.30 mm from the positive plate?

Explanation / Answer

1 ans

Given that

potential difference V=84 mV

charge q=1.6*10^-19 C

step;2

now we find the work done on positive charge on sodium atom

the work done W=84*10^-3*1.6*10^-19=134.4*10^-22 J

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2 ans

Given that

distance d=4.13mm

potential difference V=600 v

now we find the electric field b/w the plates

the electric field E=V/d=600/4.13*10^-3=1.453*10^5 N/c

now we find the force on the elecron beam

force F=Eq=1.453*10^5*1.6*10^-19=2.3*10^14 N

now we find the work done

work done W=2.3*10^-14*2.3*10^-3=5.3*10^-17 J

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