What is the Relationship Between Electron Energy and Acceleration Voltage?

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Homework Help Overview

The discussion revolves around the relationship between electron energy and acceleration voltage, particularly in the context of current, charge, and power in a pulsed system.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between current and charge, with some attempting to derive relevant equations. Questions arise regarding the calculation of charge moved per pulse and the average current based on the number of pulses.

Discussion Status

Some participants have provided guidance on calculating charge and average current, while others are seeking clarification on energy per charge and the implications of acceleration voltage on electron energy. Multiple interpretations of the problem are being explored.

Contextual Notes

Participants are working within the constraints of a homework assignment, with specific values given for current and time, and are discussing the implications of these values on the overall problem.

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Homework Statement



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Homework Equations





The Attempt at a Solution



I'm at a loss as to starting the problem. Any help is appreciated!
 
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What is the relationship between current and charge?
 
i = dQ/dt, but I can't figure out how to derive/integrate here :(
 
Oshada said:
i = dQ/dt, but I can't figure out how to derive/integrate here :(

No integration is required. You're given the current (0.5 A) and the time that it flows for each pulse (0.10 μs). If 0.5 A flows for 0.10 μs, how much charge has moved?
 
Thank you very much, I forgot the elementary relation Q = it. I got 3.1 * 10^11 electrons for a) which is the right answer :)

For part b), do we just divide average current per pulse by number of pulses per second?
 
Oshada said:
For part b), do we just divide average current per pulse by number of pulses per second?

The average current will be given by the total charges moved in a second, divided by one second. You've found the charge q moved per pulse, and you know the number of pulses per second, so...
 
Yup, got it. Part c) ?
 
What are the units of power? What's the energy per charge? Per pulse?
 
Again, I have forgotten that electrons having an energy of 50 MeV have been accelerated across 50 MV. Thanks!
 

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