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The cavity consists of a half-wavelength or wavelength of strip-line, short-circuited at both ends, and open along the sides. For measurements of dielectric and magnetic properties of samples, it has two apparent advantages over the more usual coaxial line method: the sample is simpler in shape, and it can be inserted without dismantling the cavity. Perturbation formulas are obtained for the frequency shift and change of "Q" on inserting a sample into a position of zero electric or zero magnetic field. The "Q" of the cavity in the absence of a sample is calculated by a perturbation method. The limiting sample size for a given accuracy to be obtained is also discussed.