Problem solving - Circuit elements

If a potential difference of V = 115 V V=115\text{ V} is applied across a capacitor arrangement with capacitances C 1 = 10 μ F , C_1=10\,\mu\text{F}, C 2 = 6 μ F C_2=6\,\mu\text{F} and C 3 = 15 μ F , C_3=15\,\mu\text{F}, as shown in the above figure, what is the approximate stored energy U 3 U_3 for capacitor 3?

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

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

Consider a circuit where a potential difference of 0.80 mV 0.80 \text{ mV} is set up across a resistor with length 2.50 cm 2.50 \text{ cm} and radius 1.30 mm . 1.30 \text{ mm}. Approximately how much charge drifts through the cross section of the resistor in 30.00 s , 30.00 \text{ s}, assuming that the resistivity of the resistor is 2.35 × 1 0 8 Ω m ? 2.35 \times 10^{-8} \,\Omega\cdot\text{m}?

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

The resistivity of copper is 1.69 × 1 0 8 Ω m . 1.69 \times 10^{-8}\,\Omega\cdot\text{m}.

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