## Find Impedance

Shown below is a 2 mH inductor in series with a 1 kilo-ohm resistor, and an AC voltage source operating at a frequency of 100,000 rad/s. Estimate the RL impedance for the circuit. Permissible to leave variables in the final answer.

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__**Hint**

**Hint**

The impedance of the resistor and inductor are in series. To find the inductor impedance:

$$$Z_{L}=j\omega L$$$

The resistor impedance is
$$Z_{R}=R=1\:k\Omega$$

The inductor impedance is
$$Z_{L}=j\omega L=j(100,000)(0.002)=j200\:\Omega$$

Since the two features are in series, the RL impedance for the circuit is:

$$$Z=1,000\:\Omega+j200\:\Omega$$$

$$$Z=1,000\:\Omega+j200\:\Omega$$$