Reactance frequency dependence: sketch a graph of the frequency dependence of a resistor, capacitor, and inductor. rlc circuit resonance frequency: identify the relation between the capacitive reactance (xc) and inductive reactance (xl) that will minimize the total impedance (z) of an rlc circuit. using this condition, derive the resonance frequency () of an rlc circuit.

Explanation:

We know that impedance of a RLC circuit is given by

So here R is resistance is inductive reactance and is capacitive reactance

To minimize the impedance should be zero we know that

So

We know that

So

Where f is resonance frequency  

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)