What does the impedance look like around a small resonant loop?
Say I have a hoop of conductor, broken at the top, with a capacitor across the gap. The inductance of the hoop and the capacitance form a series resonant LC circuit:
Now, say this loop is excited by a distant transmitter. What will the currents and the voltages look like in this loop? At what point are current and voltage in phase? How does the phase angle change as I move around the loop? Is there a point at which \$|Z| = 50\Omega\$ ? Can I predict where it will be? Can I predict what the phase angle will be at this point?
(The objective, you might guess, is to match an electrically small, resonant loop to a transmission line. I've read many ways to do this, and I can get it to work through trial and error, but I desire a better understanding of why it works, and what's happening inside the loop.)
Say I have a hoop of conductor, broken at the top, with a capacitor across the gap. The inductance of the hoop and the capacitance form a series resonant LC circuit:
Now, say this loop is excited by a distant transmitter. What will the currents and the voltages look like in this loop? At what point are current and voltage in phase? How does the phase angle change as I move around the loop? Is there a point at which \$|Z| = 50\Omega\$ ? Can I predict where it will be? Can I predict what the phase angle will be at this point?
(The objective, you might guess, is to match an electrically small, resonant loop to a transmission line. I've read many ways to do this, and I can get it to work through trial and error, but I desire a better understanding of why it works, and what's happening inside the loop.)
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