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Problem solving - Circuit elements

         

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?

A \(12.0\text{ V}\) battery is connected to a series of \(n\) capacitors, each of capacitance \(2\,\mu\text{F}.\) If the total stored energy is \(36.0\,\mu\text{J},\) what is \(n?\)

Approximately how much electrical energy is transferred to thermal energy in 3 hours by an electrical resistance of \(350.0 \,\Omega\) when the potential applied across it is \(90.0\text{ V}?\)

Consider a circuit where a potential difference of \(0.80 \text{ mV}\) is set up across a resistor with length \(2.50 \text{ cm}\) and radius \(1.30 \text{ mm}.\) Approximately how much charge drifts through the cross section of the resistor in \(30.00 \text{ s},\) assuming that the resistivity of the resistor is \(2.35 \times 10^{-8} \,\Omega\cdot\text{m}?\)

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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