AC MEASUREMENTS OF THE QUANTIZED HALL RESISTANCE

.The quantized Hall resistance R(H)(i), for i = 2, 4 and 6 has been me asured over the frequency range from dc to 3 kHz using a standard four terminal-pair impedance bridge. For the ith plateau we found that R(H )(i) depended linearly on the magnetic flux density B and quadraticall y on the frequency f. That is, the relative difference Delta R(H)(i,f) /R(H)(i) between the ac and dc values is consistent with the empirical relationship k(i)Bf(2), where k(i) is constant. Below 3 kHz k(i) decr eases by approximately a factor of six as i increases from 2 to 6. The se results are consistent with inductances approximate to 100 mu H, wh ich depend on B, in series with each terminal of the quantum Hall devi ce. From dc to 3 kHz we can derive the ac value of a standard resistor in terms of R(H)(2) with a type A relative uncertainty (1 sigma) of 0 .05x10(-6) f(2) when f is expressed in kHz.