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bobby.pdx

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## Homework Statement

Two conductors are separated by an insulator. Model the insulator as a square barrier of height 0.01 keV and a width of 5nm. Determine the transmission coefficients for electrons of 7,000 meV.

The only thing is I have to use the approximation formula for finding the transmission coefficient of a barrier with arbitrary shape.

## Homework Equations

T(E)≈exp((-2/hbar)√(2m)∫√(U(x)-E)dx)

## The Attempt at a Solution

T(E)≈exp((-2/1.973keVA/c)√(2(511keV/c))∫(U(x)-E)dx)

I'm not sure what I'm supposed to do for the ∫(U(x)-E)dx part. I solved the problem using the formula for the transmission coefficient for a square barrier and I got T≈0.96x10^-38. I'm pretty certain this is correct because there was a very similar example in my book.

That formula had a (U-E) where I used 0.01keV-7000meV=.003keV

If I enter .003keV for U(x)-E then I would get ≈(.907)^x

And this is where I get stuck because I should somehow get an answer that is close to T≈0.96x10^-38

Any help would be appreciated!