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A metal wire connecting the terminals of a battery with potential difference (De

ID: 2056821 • Letter: A

Question

A metal wire connecting the terminals of a battery with potential difference (Delta V bat) gets warm as it draws a current I.

A)What is Delta U, the magnitude of the change in potential energy of charge Q as it passes through the wire? (Express your answer in terms of the variables Delta V_{ m bat}, I, and Q.)

C)Power is the rate of transfer of energy. Based on your answer to part { m A}, find an expression for the power supplied by the battery to warm the wire. (Express your answer in terms of the variables Delta V_{ m bat}, I, and Q.)

Explanation / Answer

The potential difference between any two points A and B in is defined as the change in potential energy of the system divided by the test charge q.

>>>> U = Q*V

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P = i * V

i = Q/t

P = U / t >>>>> U = P * t = i * V * t = V * t * Q/t

>>>>> U = Q * V