In thinking of an inductor as a circuit element, it is to consider its limiting behavior at high and low frequencies. at one extreme, the inductor might behave like a short circuit, that is, like a resistor with almost no resistance (an ideal wire) having essentially no voltage drop across it no matter what the current. alternatively, the inductor might behave like an open circuit, that is, like a resistor with large resistance so that essentially no current will flow no matter what the applied voltage. based on the formula you obtained for the reactance, how does an inductor behave at high and low frequencies?
a) like a short circuit at both high frequencies and low frequenciesb) like an open circuit at both high frequencies and low frequenciesc) like an open circuit at high frequencies and a short circuit at low frequenciesd) like an open circuit at low frequencies and a short circuit at high frequencies