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AP Physics C: E&M
11.3 Resistance, Resistivity, and Ohm’s Law
AdvancedMCQMathematical21.4k
Resistor with exponentially varying cross-sectional area.
Resistor with exponentially varying cross-sectional area.
A non-uniform cylindrical resistor of length \(L\) has a uniform resistivity \(\rho_0\). The cross-sectional area \(A\) of the resistor varies with position \(x\) along its central axis according to \(A(x) = A_0 e^{x/L}\) for \(0 \le x \le L\), where \(A_0\) is a constant. Which of the following expressions represents the total electrical resistance \(R\) of the resistor?

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