23.11 Reactance, Inductive and Capacitive

At what frequency will a 30.0 mH inductor have a reactance of $\text{100 }\Omega$?

What capacitance should be used to produce a $\text{2}.\text{00 M}\Omega$ reactance at 60.0 Hz?

(a) Find the current through a 0.500 H inductor connected to a 60.0 Hz, 480 V AC source. (b) What would the current be at 100 kHz?

A 20.0 kHz, 16.0 V source connected to an inductor produces a 2.00 A current. What is the inductance?

(a) An inductor designed to filter high-frequency noise from power supplied to a personal computer is placed in series with the computer. What minimum inductance should it have to produce a $\text{2}.\text{00 k}\Omega$ reactance for 15.0 kHz noise? (b) What is its reactance at 60.0 Hz?

The capacitor in the figure(b) will filter high-frequency signals by shorting them to earth/ground. (a) What capacitance is needed to produce a reactance of $\text{10}.\text{0 m}\Omega$ for a 5.00 kHz signal? (b) What would its reactance be at 3.00 Hz? (c) Discuss the implications of your answers to (a) and (b).