Two parallel‐plate copper rings with diagonally opposite gaps separated by a dielectric medium form a resonator the natural resonant frequency which is a function of the transmission line propagation constant, its characteristic impedance, as well as the series inductance of the two loops. By means of an extra capacitor connected to each gap, one can easily vary the frequency of the resonator. The derived expressions, valid also for coaxial line devices, relating resonant frequency to other circuit constants, can serve as a tool for those who intend to use this kind of resonator to design NMR surface coil antennas. Experimental results are in good agreement with theory provided the circuit constants are accurately known.