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Narrow slots are often employed in printed circuit board and electronic package designs to isolate the power noise coupling. In this paper, an equivalent circuit method is proposed to analyze the power and signal integrity of gapped power-ground (PG) planes. With this method, the whole gapped PG planes are divided into two regions: one is a parallel-plane structure, and another is a slot structure. An integral-equation equivalent circuit method is used to model the arbitrarily shaped parallel-plane structure. Meanwhile, the transmission-line method is used to model the slot structure. Finally, the whole modeling of gapped PG planes can be obtained by integrating the aforementioned two equivalent networks. Numerical examples reveal that this circuit approach is efficient and accurate, in comparing with the available methods.