Magnitude of the work done by electric field.

Click For Summary
SUMMARY

The discussion focuses on calculating the work done by the electric field when a singly ionized potassium ion (K+) moves through a cell membrane with a potential difference of 72 mV. The relevant equations are W = F*d and W = V*U. The correct calculation involves converting the potential difference to volts (0.072 V) and multiplying it by the charge of the potassium ion (1.6e-19 C). The final result for the work done is confirmed to be approximately 1.15e-20 J after correcting a multiplication error.

PREREQUISITES
  • Understanding of electric potential difference (voltage)
  • Knowledge of charge units (Coulombs)
  • Familiarity with basic physics equations for work (W = F*d and W = V*U)
  • Ability to perform scientific notation calculations
NEXT STEPS
  • Study the concept of electric potential energy in electrostatics
  • Learn about the role of ion channels in cellular membranes
  • Explore the relationship between voltage and electric field strength
  • Investigate the effects of different ion charges on work done in electric fields
USEFUL FOR

Students studying physics, particularly those focusing on electrostatics, as well as educators teaching concepts related to electric fields and cellular biology.

jlmccart03
Messages
175
Reaction score
9

Homework Statement


The membrane around a cell normally has layers of charge that create a potential difference between its outer and inner surfaces. This difference is about 72 mV .

When a singly ionized potassium ion moves through a channel in the membrane passing from the outside to the inside, what is the magnitude of the work done by the electric field of the membrane?

upload_2017-2-14_18-16-7.png


Homework Equations


W = F*d
W = V*U

The Attempt at a Solution


So I know that the charge of a K ion is +1 so it is simply 1.6e-19 and converting 72 mV to 0.072 V I can then just multiply both to get the change in work correct? I don't get why that is wrong then.
 
Physics news on Phys.org
Just a multiplication error.
Quick check: If you multiply 1.6*10-19 by 0.072, the result should be smaller than 10-19.
 
mfb said:
Just a multiplication error.
Quick check: If you multiply 1.6*10-19 by 0.072, the result should be smaller than 10-19.
Yeah I keep getting 1.15e-19. Isn't that correct, I can't seem to get a different answer on my calculator. Nevermind I got the answer. I was using -18 instead of -19.
 

Similar threads

  • · Replies 22 ·
Replies
22
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
4
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 17 ·
Replies
17
Views
2K
Replies
8
Views
2K
  • · Replies 8 ·
Replies
8
Views
8K
Replies
2
Views
3K
Replies
1
Views
2K
Replies
10
Views
2K