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Application of the grooved substrate is presented for the design of an unequal Wilkinson power divider. The grooves are applied along one of its strips which requires high characteristic impedance for the purpose of overcoming its conventional narrow width. The grooves are oriented parallel to the strip and just next to it. The groove depths are selected such that, for a suitable width of the strip, the desired characteristic impedance is achieved. A 4:1 unequal Wilkinson power divider is designed, fabricated and tested, which verify the design specification of power division.