AP Physics C: E&M
11.4 Electric Power
11.3 Resistance, Resistivity, and Ohm’s Law
An experimental non-Ohmic circuit element carries a current \(I\) related to the potential difference \(V\) across its terminals by the relationship \(I = kV^3\), where \(k\) is a positive empirical constant with appropriate units. Which of the following correctly pairs the differential resistance \(\dfrac{dV}{dI}\) of the element as a function of \(I\) with the functional dependence of the power \(P\) dissipated by the element on \(I\)?
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