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AP Physics C: E&M
11.3 Resistance, Resistivity, and Ohm’s Law
IntermediateMCQGraphicalMathematicalConceptual18.6k
A Cartesian coordinate graph with a horizontal axis labeled V (V) and a vertical axis labeled I (mA). The horizontal axis has numerical tick marks at 0, 2.0, and 4.0. The vertical axis has numerical tick marks at 0, 1.0, and 2.0. A smooth, solid curve begins at the origin (0, 0) and curves upward with increasing slope, passing through a marked point labeled P at coordinates (4.0, 2.0). A dashed straight line is tangent to the curve at point P, extending downward to intersect the horizontal axis at 2.0 and extending slightly past point P toward the upper right. Light dashed projection lines connect point P horizontally to 2.0 on the vertical axis and vertically to 4.0 on the horizontal axis. No other labels, lines, text, or axes appear.
Current versus potential difference for a non-ohmic device with a tangent line at operating point P.
A non-ohmic circuit element has the current-versus-potential difference (
(I\) vs. \(V\)) characteristic curve shown in the graph. At operating point \(P\), the potential difference across the element is \(V_0 = 4.0\text{ V}\) and the current through it is \(I_0 = 2.0\text{ mA}\). The dashed line is tangent to the curve at point \(P\) and intersects the horizontal axis at \(V = 2.0\text{ V}\). Which of the following statements correctly relates the features of the graph to the resistance properties of the element at point \(P\)?

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