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Jhericks · Answer 1 · 2023-04-16T20:26:33+0000

Step 1

State the general relationship between the electrical power, P, the voltage of the motor, V, and the resistance R from the question

$\begin{gathered} P\propto V^2----\text{ the direct proportionality betw}een\text{ the power, P and the square of the voltage, V} \\ P\propto(1)/(R)---\text{the inverse relationship betw}een\text{ the power, P and the Resistance, R} \\ \text{Merging both yields} \\ P\propto V^2\propto(1)/(R) \\ P\propto(V^2)/(R) \\ \text{If k = constant of proportionality} \\ P=(kV^2)/(R) \end{gathered}$

Hence the equation that correctly states the relationship between the power, voltage, and resistance is

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