In other words, in a transformer the ratio of the number of windings in the secondary coil (\(N_{\mathrm{s}}\)) to the number of windings in the primary coil (\(N_{\mathrm{p}}\)) determines the output voltage relative to the input voltage. In a step-up transformer, \(N_{\mathrm{s}}\) is greater than \(N_{\mathrm{p}}\), so the output voltage is greater than the input voltage. In a step-down transformer, \(N_{\mathrm{s}}\) is less than \(N_{\mathrm{p}}\), which results in an output voltage less than the input voltage.
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