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The response of circuits containing resistors, inductors and capacitors depends upon the relative values of the resistors and the way they are con- nected. An

The response of circuits containing resistors, inductors and capacitors depends upon the relative values of the resistors and the way they are con- nected. An important intermediate quantity used in describing the response of such circuits is s. Depending on the values of R, L, and C, the values of s will be either both real values, a pair of complex values, or a duplicated value. R C1 F L100 mH Figure P2.9 Series circuit. The equation that identiies the response of a particular series circuit (Figure P2.9) is R R S=- { A a b 2-1 . 2L 2L LC (a) Determine the values of s for a resistance of 800 . (b) Create a vector of values for R ranging from 100 to 1000 and evaluate s. Reine your values of R until you ind the approximate size of resistor that yields a pure real value of s. Describe the effect on s as R increases in value. Hint: 1 F = 1e-6F 1 mH = 1e-3H

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