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?