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A solution to a similar problem, where the resistance between two diagonally opposite points of the cube was required, has been given by A. J. Small (Engineering News, No. 190, March 18th, 1965, p. 2). This solution requires a minimum of mathematics. An alternative solution has been presented by H. Trencham (Engineering News, No. 192, April 1st, 1965, p. 2).
See the solution to Problem 141.
Readers may like to extend this problem to n points to show that if every pair of n Points is connected by a conductor of resistance R the equivalent resistance of the network between any pair of electrodes is 2R/n.
Other problems on transients may be found in the book: F. A. Benson, Problems in Electronics with Solutions, Spon, 4th Edition, 1965, Chapter 2.
Proofs can be found in the following book: F. A. Benson and D. Harrison, Electric Circuit Theory, 2nd Edition, Arnold, 1963, pp. 27–30.
See also T. R. Walsh, ‘Some Useful Procedures in Circuit and Line Theory’, Bull. Elect. Eng. Educ. No. 10, p. 24, June, 1953. (A proof is given which forms an interesting application of Maxwell’s Cyclic-Current Rule.)
A few other problems on simple time bases may be found in the book: F. A. Benson, Problems in Electronics with Solutions, Spon, 4th Edition, 1965, Chapter 15.
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© 1975 F. A. Benson
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Benson, F.A. (1975). D.C. Circuits. In: Electric Circuit Problems with Solutions. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5847-0_1
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DOI: https://doi.org/10.1007/978-94-009-5847-0_1
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