Answer
We can match the three plots with the three devices:
(a) inductor
(b) resistor
(c) capacitor
Work Step by Step
We can write an expression for the current when the circuit has a resistor:
$I_R = \frac{V_R}{R}$
We can write an expression for the current when the circuit has a capacitor:
$I_C = \frac{V_C}{X_C} = V_C~\omega_d~C = 2\pi~f_d~V_C~C$
We can write an expression for the current when the circuit has an inductor:
$I_L = \frac{V_L}{X_L} = \frac{V_L}{\omega_d~L} = \frac{V_L}{2\pi~f_d~L}$
$I_R$ does not depend on the frequency $f_d$
$I_C$ increases linearly as $f_d$ increases
$I_L$ decreases as $f_d$ increases
We can match the three plots with the three devices:
(a) inductor
(b) resistor
(c) capacitor
