chap12 - PROBLEM 12.1 KNOWN A linear potentiometer having D...

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PROBLEM 12.1 KNOWN: A linear potentiometer having D = 0.1 mm ρ e = 1.7 × 10 -8 -m R = 1 k FIND: a) for a core diameter of 1.5 cm, determine the range b) plot loading error as a function of displacement SOLUTION: a) In order to determine the number of turns of wire, N R L A L RA e c c e = = ρ ρ with A c = × = × π 4 0 1 10 7 854 10 3 2 9 . . m m 2 c h yields L = × × = 1000 7 854 10 1 7 10 462 9 8 m - m m 2 b gc h . . One turn takes π (1.5) cm of wire, thus N = × = 462 9804 m 1.5 10 m -2 π c h Then since each turn occupies approximately D = 0.1 mm the range is (9804)(0.1 mm) = 0.98 m
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