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.
Expand 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:
$$$Z=1,000\:\Omega+j200\:\Omega$$$
$$$Z=1,000\:\Omega+j200\:\Omega$$$
Time Analysis
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