- #1

- 4

- 0

how we get "e^(ikr)"...?

Plz ans me... Thanks

Plz ans me... Thanks

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- Thread starter arslan786786
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- #1

- 4

- 0

how we get "e^(ikr)"...?

Plz ans me... Thanks

Plz ans me... Thanks

- #2

- 4

- 0

Though it's e^(e(x-ct))how we get "e^(ikr)"...?

Plz ans me... Thanks

- #3

Nugatory

Mentor

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- 6,267

how we get "e^(ikr)"...?

There's no ##r## in the discussion above, so it's not clear what you're asking about when you write ##e^{(ikr)}##, nor does ##e^{e(x-ct)}## make sense in the context of this discussion.Though it's e^(e(x-ct))

Are you familiar with the general solution of the wave equation? It's a differential equation so we solve it by making an educated guess as to the general form of the solution (in this case, ##Ae^{i(\omega t-kx)}##), plugging it into our differential equation, and then solving for for the constants ##k## and ##\omega##. Do it right, and you'll get an equation describing a wave travelling at speed ##c##; post #6 by @RPinPA tells you how to interpret it.

(Once you've clarified your question, it may make sense to move it to a thread of its own)

- #4

- 4

- 0

They are writing E°e^(ikr). The author puts r value...

I have searched a lot for it and I found its solution....

But i found that they calculate it with a very different method... They calculate 2pifn. x= wt-2pifn.x...

You can see in the image below...

So plz guide me

- #5

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- 0

- #6

caz

Gold Member

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Instead of treating space as a vector and time as a scalar, they are using the relativistic approach of a four-vector which combines the two into a single vector with 4 terms. Notice that the inner product is positive for the time term and negative for the space term. Some use the opposite sign convention for the inner product so one should be careful.sir plz look at the electric field expression...

They are writing E°e^(ikr). The author puts r value...

I have searched a lot for it and I found its solution....

But i found that they calculate it with a very different method... They calculate 2pifn. x= wt-2pifn.x...

You can see in the image below...

So plz guide meView attachment 280809

- #7

caz

Gold Member

- 307

- 239

No idea what you are even asking.View attachment 280810here is the screen shot sir...!!

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