The Impedance Z of a Simple RL (Resistive Inductive) Circuit $\omega$

Essay

The impedance Z of a simple RL (resistive inductive) circuit is given by , where R is the resistance of the resistor, L is the inductance of the inductor, and $\omega$ is the angular frequency of the applied voltage. Find a linear approximation of Z(L) for small values of L assuming all other quantities are constant. Show all of your work.