An a.c. source delivers an angular frequency of ω=1.00×104rads−1 to a laboratory test circuit.
a. (a) The circuit designer wants the inductive reactance to be exactly 80Ω. Determine the inductance that should be selected.
b. (b) For the same operating frequency, what capacitance should be chosen so that the capacitive reactance is also 80Ω?
c. (c) Using your answers to (a) and (b), verify numerically that a series circuit containing both elements would be in electrical resonance at the given angular frequency.