Plotting the R(n) and compute n
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Let Rn denote the equivalent resistance of n resistors connected in parallel, each having resistance R for n = 1, 2, 3, etc. It can be shown that Rn is governed by the following recursive relation:
R(n+1) = R(n)R/R(n), where n = 1,2,3,... with R1 = R (a) Given R = 10kΩ, write a MATLAB program to plot Rn versus n for n = 1, 2, . . . , 100. (b) For a given R and a positive integer m, write a MATLAB function that utilizes the while loop to compute n such that Rn = 10−mR.
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