Abstract
An analysis of the transient response of a logarithmic amplifier to a step function decrease in nuclear reactor period leads to a differential equation of the form exp ({\alpha}t) + a exp (bx) + cdx/dt = 0 . This equation is shown to be integrable and to relate the amplifier output voltage to reactor period and time. The result can be used to examine the suitability of a logarithmic amplifier for monitoring fast transient reactor excursions.
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