Problem solving - Circuit elements


If a potential difference of V=115 VV=115\text{ V} is applied across a capacitor arrangement with capacitances C1=10μF,C_1=10\,\mu\text{F}, C2=6μFC_2=6\,\mu\text{F} and C3=15μF,C_3=15\,\mu\text{F}, as shown in the above figure, what is the approximate stored energy U3U_3 for capacitor 3?

A 12.0 V12.0\text{ V} battery is connected to a series of nn capacitors, each of capacitance 2μF.2\,\mu\text{F}. If the total stored energy is 36.0μJ,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 350.0Ω350.0 \,\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 mV0.80 \text{ mV} is set up across a resistor with length 2.50 cm2.50 \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 2.35×108Ωm?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 Vs=11.0μVV_s=11.0\,\mu\text{V} and xs=3.00 mx_s=3.00\text{ m} in the figure, what is the approximate current in the wire?

The resistivity of copper is 1.69×108Ωm.1.69 \times 10^{-8}\,\Omega\cdot\text{m}.


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