Question

The Quantum Hall Resistance $R_H$ is a fundamental constant with dimensions of resistance. If $h$ is Planck's constant and $e$ the electron charge, then the dimension of $R_H$ is the same as.

• A. $e^2/h$
• B. $h/e^2$
• C. $h^2/e$
• D. $e/h^2$

Answer 1

Answer: (B)

$h/e^2$

$R=\frac{P}{i^2}$

also $E=hv=\frac{h}{t}$ , because $v\frac{1}{t}$

Also $P=\frac{E}{t}=\frac{h}{t^2}$

also $i=\frac{e}{t}$

So $R=\frac{h}{e^2}$