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I would like to calculate the following quantity:

sqrt{4kTR_S}

expressed in nV / sqrt{Hz}

(Incidentally, this site does not support math in the posts?)

In the above expression, k is Boltzmann's constant (in Joule/Kelvin), T is in Kelvin, R_S is in ohm.

To this end, I input into the calculator:

'4*k*300*50 degK*ohm RET

which puts:

60000 degK k ohm

into the stack as I expect.

I can then press u c to change the units to V^2/Hz, which works just fine, giving:

8.283894e-19 V^2 / Hz

I would now like to take the square root of this number, so just to keep the intermediate results, I just input:

' sqrt($1)

to get:

sqrt(8.283894e-19 V^2 / Hz)

as my next item to the stack.

Now, I would just like to change the units again to nV / sqrt(Hz), but when I press u c I get the following message in the Minibuffer:

(The expression is unitless when simplified) Old Units:

From here on, I don't know how to proceed and what did I do wrong. I have tried many combinations but I just cannot get to the right result. Can anybody see what I could be possibly doing wrong here?

Mike Anblips
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  • If you call algebra / simplify extended ae, you can continue normally with your unit conversion. Not identifying units inside the square root looks like a bug. – Juancho May 02 '23 at 22:51

0 Answers0