A resonator is constructed from a 3.0 cm length of $100 \Omega$ air-filled coaxial line, shorted at one end and terminated with a capacitor at the other end, as shown. (a) Determine the capacitor value to achieve the lowest-order resonance at 6.0 GHz . (b) Now assume that loss is introduced by placing a $10,000 \Omega$ resistor in parallel with the capacitor. Calculate the $Q$.