In an AC resistor, what is the phase relationship between voltage and current?

State the capacitive reactance and inductive reactance formulas.

Which component has reactance that increases with frequency: a capacitor or an inductor?

Find \(X_L\) for \(L=0.25\,\mathrm H\) at \(f=60\,\mathrm{Hz}\).

Find \(X_C\) for \(C=10\,\mu\mathrm F\) at \(f=50\,\mathrm{Hz}\).

A capacitor has \(X_C=200\,\Omega\) when driven by \(120\,\mathrm V\) rms. Find the rms current.

For a capacitor, does current lead or lag voltage, and by what angle in the ideal case?

For an inductor, does current lead or lag voltage, and by what angle in the ideal case?

A capacitor has \(X_C=150\,\Omega\) at \(100\,\mathrm{Hz}\). What is its reactance at \(200\,\mathrm{Hz}\)?

An inductor and capacitor have equal reactance at angular frequency \(\omega_0\). Derive \(\omega_0\) in terms of \(L\) and \(C\).