Title :
The graphical methods of Sumpner, Drysdale and Marchant: solving the Kelvin equation
Author_Institution :
Design Council, London, UK
fDate :
9/1/1986 12:00:00 AM
Abstract :
The paper commences with the equation derived in 1853 by Kelvin, for circuits containing inductance, resistance and capacitance. From this, the history of a graphical analysis is traced from Sumpner in 1888, to Drysdale who in 1910 published details of his planimeter, a manual device to solve LR and CR circuits. Little was added to the method, until Marchant extended it, in 1960, to cover all three circuit parameters, L, R and C, by one graphical solution. The methods are useful in explaining circuit operation and examples of use are given.
Keywords :
history; linear network analysis; lumped parameter networks; Drysdale; Kelvin equation; Marchant; R-L-C circuits; Sumpner; capacitance; circuit parameters; graphical methods; history; inductance; linear circuits; resistance;
Journal_Title :
Physical Science, Measurement and Instrumentation, Management and Education - Reviews, IEE Proceedings A
DOI :
10.1049/ip-a-1.1986.0061