<p>In an electric circuit with an incandescent light bulb and a resistor connected in series, the actual voltage across the bulb and the current through the circuit are often determined graphically by the intersection, the operating point of the <i>I</i> − <i>V</i> curves of the bulb and the resistor. This article presents an analytic form of the operating point by simplifying the function of the <i>I</i> − <i>V</i> curve for a light bulb in two cases: <i>T</i>/<i>T</i><sub>0</sub> = <i>O</i>(1) and <i>T</i>/<i>T</i><sub>0</sub> = <i>O</i>(10), where <i>T</i><sub>0</sub> is room temperature and <i>T</i> is the temperature of the tungsten filament. We show that these approximation formulae give the operating point with sufficient accuracy. It will be suitable for undergraduate students to understand electric circuits with a nonlinear resistor.</p>

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Operating Point of an Electric Circuit With an Incandescent Light Bulb and a Resistor

  • Yuji Kajiyama

摘要

In an electric circuit with an incandescent light bulb and a resistor connected in series, the actual voltage across the bulb and the current through the circuit are often determined graphically by the intersection, the operating point of the IV curves of the bulb and the resistor. This article presents an analytic form of the operating point by simplifying the function of the IV curve for a light bulb in two cases: T/T0 = O(1) and T/T0 = O(10), where T0 is room temperature and T is the temperature of the tungsten filament. We show that these approximation formulae give the operating point with sufficient accuracy. It will be suitable for undergraduate students to understand electric circuits with a nonlinear resistor.