AP Physics C: E&M
11.4 Electric Power
11.3 Resistance, Resistivity, and Ohm’s Law
A cylindrical resistor of length \(L\) and diameter \(D\) is connected across an ideal power supply providing a constant potential difference \(V_0\), dissipating thermal energy at a rate \(P_0\). The resistor is replaced with a second cylindrical resistor of the same material and length \(L\), but with diameter \(\dfrac{D}{2}\), connected across the same potential difference \(V_0\). What is the ratio of the power dissipated in the second resistor to the power dissipated in the first resistor, \(\dfrac{P_2}{P_0}\)?
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