Current Measurement and Transient Skin Effects in Exploding Wire Circuits

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Abstract
The transient response of the coaxial, current‐measuring shunt commonly used in high current, high frequency applications (up to 1 Mc) is analyzed by Laplace transform methods. The exact solution is obtained as is an approximate solution which allows estimates to be made of the errors expected. The current shunt measuring a damped oscillation will always report an initial current slope of zero, and the maximum current slope is sensed shortly after switch‐on. It is several percent low in typical cases. At the true current maximum, the shunt reading is a few tenths percent low and lags the impressed current by a small fraction of a cycle. A second problem concerning the transient resistance of an idealized plate condenser is analyzed using the asymptotic solution for current. A numerical calculation indicates no alteration of initial conditions on the damped oscillation to arise from this source so long as the characteristic damping time of the transient skin effect is small compared with the ringing time.

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