Hi Professor Tougaw, I am confused at 29:10. The fraction in the equation used to find 'T' looks the numerator and denominator would cancel out to 1. Looking back at equation 22.29, it appears there was a '2' that was supposed to be part of the exponent of e in the denominator. If the '2' was added back in, will that produce the answer that you have written? Thank you.
Adam, Thanks for your note! You're correct, I made a small mistake in Example 22.2. As you pointed out, Equation 22.29 has a 2 in the exponent of e in the denominator, but not in the numerator. I think I accidentally left out that 2 from the denominator. Equation 22.29 is definitely correct. There is another difference between the numerator and the denominator, and that is the extra set of parentheses in the numerator. I did remember to include that in my example, which is why I didn't just end up with an answer of 1. Doug Tougaw
In Example 22.5, why are the reflected waves moving in the positive z direction (wt - kz)?
Hi Professor, I just noticed that at 27:53, You forgot to multiply the exponents by 2? Wasn't the formula e^j(2*k*d)?
Yes, I think there is a 2 missing in my solution. Sorry for the error!
Hi Professor Tougaw,
I am confused at 29:10. The fraction in the equation used to find 'T' looks the numerator and denominator would cancel out to 1. Looking back at equation 22.29, it appears there was a '2' that was supposed to be part of the exponent of e in the denominator. If the '2' was added back in, will that produce the answer that you have written? Thank you.
Adam,
Thanks for your note! You're correct, I made a small mistake in Example 22.2. As you pointed out, Equation 22.29 has a 2 in the exponent of e in the denominator, but not in the numerator. I think I accidentally left out that 2 from the denominator. Equation 22.29 is definitely correct.
There is another difference between the numerator and the denominator, and that is the extra set of parentheses in the numerator. I did remember to include that in my example, which is why I didn't just end up with an answer of 1.
Doug Tougaw
@@dougtougaw7681 Ok, gotcha, thank you very much for letting me know! That all makes sense now.