Impedance in RC Circuits

In a capacitive circuit, as in an inductive circuit, impedance is the resultant of phasor addition of R and X_C.

The below Equation is the mathematical representation for impedance in an R-C circuit.

Example:

A 50 Ω X_C and a 60 Ω resistance are in series across a 110V source (Figure 7). Calculate the impedance.

Figure 7 : Simple R-C Circuit

Solution:

Z = √ (60² + 50²)

Z = √6100

Z = 78.1 Ω