Radio jamming is the intentional disruption or interference of radio communications by overwhelming the intended receivers of the signal with random noise. You and your team have been tasked with jamming a specific radio signal at 720 kHz. You have access to a high-powered transmitter, but the part of its circuitry that tunes the broadcast frequency, called the tank circuit, has been damaged. A tank circuit is a series RCL circuit whose resonance frequency determines the frequency broadcasted by the antenna. At your disposal are two 220-Ω resistors, one variable capacitor that ranges from 2.0 to 6.0 nF, and four inductors with the following values: L₁ = 5.0 × 10⁻⁶ H, L₂ = 7.2 × 10⁻⁶ H, L₃ = 6.5 × 10⁻⁵ H, and L₄ = 5.4 × 10⁻⁶ H.

(a) If you set your variable capacitor at the center of its range, what must be the value of the inductance of your RCL circuit so that it resonates at 720 kHz?

(b) How should you configure the available inductors to give you the needed equivalent inductance? The rules for adding inductors in series and parallel are the same as for resistors.

(c) With the inductance set as calculated in (a), what resonant frequency range does the variable capacitor provide?

(d) The two resistors can be configured to give different equivalent resistance values. How should you configure the resistors in the RCL circuit in order to maximize the current at the resonant frequency? Refer to Section 23.4.