Question

find the impedance of the series circuit.
the impedance of the circuit is (\square) ohms.

Explanation:

Step1: Identify circuit type

The circuit is a series circuit with resistors (and possibly reactances, but here the values are 6Ω, 4Ω, 9Ω; assuming they are resistances in series).

Step2: Apply series impedance formula

For series circuits, total impedance \( Z_{total} = R_1 + R_2 + R_3 \) (when resistors are in series; for impedance, if they are resistive, it's just sum of resistances). Here, \( R_1 = 6\Omega \), \( R_2 = 4\Omega \), \( R_3 = 9\Omega \).

Step3: Calculate total impedance

\( Z_{total} = 6 + 4 + 9 \)
\( Z_{total} = 19 \)

Answer:

19