What is the work required to move an electron in an electric field?

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SUMMARY

The work required to move an electron from the position (0, 5m, 0) to (0, 0, 8m) in an electric field of E = {25, -30, 0} x 10^3 V/m is calculated using the equation W = Q * Change in V. The change in potential (Change in V) was determined to be 150 x 10^3 V. The charge of the electron, Q, is 1.6 x 10^-19 C, which is essential for calculating the total work done.

PREREQUISITES
  • Understanding of electric fields and potential difference
  • Familiarity with the equation W = Q * Change in V
  • Knowledge of the charge of an electron (1.6 x 10^-19 C)
  • Basic vector operations in three-dimensional space
NEXT STEPS
  • Study the concept of electric potential energy in electric fields
  • Learn about vector calculus as it applies to electric fields
  • Explore the implications of charge movement in varying electric fields
  • Investigate the relationship between work, energy, and charge in electrostatics
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding the principles of work done on charged particles in electric fields.

huntingrdr
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Homework Statement



What work is needed to move an electron from (0,5m,0) to (0,0,8m) in an electric field of E = {25, -30, 0} x 10^3 V/m?

Homework Equations



W = Change in U = Q* Change in V

The Attempt at a Solution



I calculated Change in V = -E* change in r. Change in r I got (0,-5, 8). Then I took that and multiplied it by the Electric Field and got 0-(30)(-5)-0 = 150 x 10^3.

Now, how can I find charge Q? If I knew how to find charge Q I could multiply it to Change in V that I just calculated above and it would give me W.
 
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you have an electron .. so your chage Q should be the charge of electron which is 1.6x10^-19 c ..
 
thebigstar25 said:
you have an electron .. so your chage Q should be the charge of electron which is 1.6x10^-19 c ..

Ahh thanks...read the question too fast. Should have slowed down and payed attention.
 

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