Resistors are passive devices used in electronic circuits to control the flow of current. An ideal resistor has no associated stray capacitance or inductance, and therefore performs exactly the same in a direct current (DC) circuit as it does in an alternating current (AC) circuit at any frequency.
Realworld resistors made of physical components exhibit more than just a pure resistance when present in an AC circuit. A common circuit simulator model is shown to the left. It includes the actual ideal resistor with a parallel capacitive component representing interelement (if present) mutual capacitance, and a series inductive component representing lead and/or solder/bond pads that respond to
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Equations (formulas) for combining inductors in series and parallel are given below.

