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AP Physics C: E&M
11.6 Kirchhoff’s Loop Rule
11.3 Resistance, Resistivity, and Ohm’s Law
AdvancedMCQMathematical16.1k
Circuit schematic with a battery, linear resistor, and non-ohmic element.
Circuit schematic with a battery, linear resistor, and non-ohmic element.
A single closed circuit consists of an ideal battery with electromotive force \(\mathcal{E}\), a linear resistor of resistance \(R\), and a non-ohmic circuit component connected in series. The potential difference across the non-ohmic component depends quadratically on the current \(I\) flowing through it according to \(V_N = \beta I^2\), where \(\beta\) is a known positive constant. Which of the following expressions correctly represents the steady-state current \(I\) in the circuit?

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