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Resistors dissipate energy in electric circuits, but their behavior is found time and again in diverse phenomena from the flux of biomass in bacterial cells to the flow of cars on city traffic grids.

If a potential difference of \(V=115\text{ V}\) is applied across a capacitor arrangement with capacitances \(C_1=10\,\mu\text{F},\) \(C_2=6\,\mu\text{F}\) and \(C_3=15\,\mu\text{F},\) as shown in the above figure, what is the approximate stored energy \(U_3\) for capacitor 3?

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The above figure shows the electric potential \(V(x)\) along a copper wire as a function of position \(x.\) The radius of the copper wire is \(3.0\text{ mm}.\) If \(V_s=11.0\,\mu\text{V}\) and \(x_s=3.00\text{ m}\) in the figure, what is the approximate current in the wire?

The resistivity of copper is \(1.69 \times 10^{-8}\,\Omega\cdot\text{m}.\)

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