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Question

# Verify that the von Klitzing constant, $h / e^2$, gives the SI unit for resistance (the ohm) if $h$ and $e$ are in units of joule-seconds and coulombs, respectively.

Solution

Verified
Step 1
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The von Klitzing constant is given by the following equation

\begin{align} R_K=\frac{h}{e^2}, \end{align}

in which $h$ is given in joule-seconds, $\mathrm{Js}$, and $e$ is given in coulombs, $\mathrm{C}$.

We have to show that $R_K$ gives the SI unit for resistance (the ohm). To do that we will be looking at the definitions of $\mathrm{C}$ and $\mathrm{J}$.

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