45. Let the resistors be divided into groups of nresistors each, with all the resistors in the same group connected in series. Suppose there are msuch groups that are connected in parallel with each other. Let Rbe the resistance of any one of the resistors. Then the equivalent resistance of any group is nR, and Req, the equivalent resistance of the whole array, satisfies 111RnRmnRmeq==∑. Since the problem requires Req= 10 Ω= R, we must select n = m. Next we make use of
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.