What is the Relationship Between Electron Energy and Acceleration Voltage?

[Oshada]

Homework Statement

Homework Equations

The Attempt at a Solution

I'm at a loss as to starting the problem. Any help is appreciated!

 

[gneill]

What is the relationship between current and charge?

 

[Oshada]

i = dQ/dt, but I can't figure out how to derive/integrate here :(

 

[gneill]

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?

 

[Oshada]

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?

 

[gneill]

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...

 

[Oshada]

Yup, got it. Part c) ?

 

[gneill]

What are the units of power? What's the energy per charge? Per pulse?

 

[Oshada]

Again, I have forgotten that electrons having an energy of 50 MeV have been accelerated across 50 MV. Thanks!