CATAGORY: Electricity & Magnetism
QUESTION: A resistor, a capacitor, and a inductor are connected in series
across a 60.0-Hz, 120-V a-c source. The resistance is 18.0-ohms, the
capacitive reactance is 8.0-ohms, and the inductive reactance is
12.0-ohms. Calculate the impedance.

Back to subcatalog.

---

The impedance is given by
          ____________________
(1) Z = \/ R^2 +(X(L) -X(C))^2

Where R is the resistance, X(L) is the reactance of the 
inductor and X(C) is the reactance of the capacitor.

thus
          _______________________
(2) Z = \/ 18.0^2 +(12.0 -8.0)^2  [ohms]

      = 18.44 ohms
      
      ******************
      *                *
      * Z = 18.44 ohms *
      *                *
      ******************