Double Slit Quantum and Electricity Experiment

AI Thread Summary
The discussion revolves around calculating the current at a point 0.500 cm above the central maximum in a double slit experiment with specified slit dimensions and maximum current. The user suggests that the maximum current occurs at the central maximum and proposes calculating the number of electrons hitting that region per second. However, they express uncertainty about how to proceed without knowing the distance from the slits to the screen. A suggestion is made to calculate the angle corresponding to the 0.500 cm distance to use the far-field intensity formula. The conversation highlights the need for additional information to complete the calculations.
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Homework Statement


Suppose electrons are sent through a double slit set up with a the slit width = 5.00nm and d the slit separation = 10.0nm. If the maximum current at the screen is 2.30μA, what is the current at the point .500 cm above the central maximum?


Homework Equations


dsinθ=mλ
asinθ=mλ
y=(mλD)/a




The Attempt at a Solution


I am going to assume that the maximum current occurs at the central maximum. I suppose you could find out how many electrons are hitting that region per second by dividing 2.30e-6 by 1.602e-19
Other then that I am stuck.
Thanks
 
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For starters, you would want to calculate what angle corresponds to that 0.500 cm distance. However, if they do not tell you how far the screen is from the slits, there is no way to know that.

If you could find that angle, then you could use the formula for the far-field intensity, which is in our library entry on the double slit:

https://www.physicsforums.com/library.php?do=view_item&itemid=203
 
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