A design engineer needs to know what value of \(R, L\), or \(C\) to use in circuits to achieve a certain impedance.

(a) At what radian frequency will a \(0.015-\mu \mathrm{F}\) capacitor's impedance equal \(-j 20 \Omega\) ?

(b) At what radian frequency will a \(33-\mathrm{mH}\) inductor's impedance equal \(j 20 \Omega\) ?

(c) At what radian frequency will a \(100-\Omega\) resistor's impedance equal \(20 \Omega\) ?