A resistance potentiometer has a total resistance of $10000\ \Omega$ and is rated $4\text{ W}$. If the range of the potentiometer is $0$ to $100\text{ mm}$, then its sensitivity in $\text{V/mm}$ is:
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Potentiometer sensitivity is directly proportional to its maximum applied voltage.
Always use the power dissipation formula $P = V^2/R$ to find this maximum voltage limit first.