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# Problem: A 9.0-V battery is connected to a resistor so that there is a 0.50-A current through the resistor.For how long should the battery be connected in order to do 320 J of work while separating charges?

###### FREE Expert Solution

Ohm's law:

$\overline{){\mathbit{i}}{\mathbf{=}}\frac{\mathbf{V}}{\mathbf{R}}}$, where i is current, V is voltage, and R is resistance.

From work-energy principle, work:

$\overline{){\mathbf{W}}{\mathbf{=}}{\mathbf{P}}{\mathbf{t}}}$, where P is power and t is time.

Power:

$\overline{){\mathbf{P}}{\mathbf{=}}{{\mathbf{i}}}^{{\mathbf{2}}}{\mathbf{R}}}$

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###### Problem Details

A 9.0-V battery is connected to a resistor so that there is a 0.50-A current through the resistor.

For how long should the battery be connected in order to do 320 J of work while separating charges?