Question

A. At what frequency would an inductor and a capacitor have the same reactance?

b. What would the reactance be?
c. Show that this frequency would be the natural frequency of an oscillating circuit with the same L and C.

Answer 1

(A.) Resonance Frequency

(B.) Totally resistance

Step-by-step explanation:

A. The resonance frequency is the frequency at which the net reactance of the inductor and capacitor is zero, this is the frequency at which the capacitive reactance of the capacitor and inductive reactance of the inductor cancels each other out. Resistance is low here and the frequency is high

B. Since the net reactance of the inductor and capacitor is zero as explained in (A) above, the total reactance of the circuit will be entirely from the resistor (resistance)