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## Circuit Behavior

Any circulating flow constitutes a circuit. Learn how to model the logic boards in your computer, the flow of nutrients in your blood, or the daily fluctuations in the temperature of your house.

# RC circuits (direct current)

Find the charge on the capacitor in the circuit shown in the figure, at time $$t=\infty$$. The capacitance of the capacitor is $$C= 2 \text{ F},$$ resistances of resistors are given by $$R_1 = 2 \ \Omega,$$ $$R_2 = 2 \ \Omega,$$ and $$R_3 = 5 \ \Omega$$ and the voltage of the ideal battery is given by $$V= 35 \text{ V}.$$

Given $$R_1 = 3.0\ \Omega,$$ $$R_2 = 6.0\ \Omega,$$ $$R_3 = 4.0\ \Omega,$$ $$R_4 = 8.0\ \Omega.$$ Find the charge of the capacitor in the circuit shown in the above figure. The capacitance of the capacitor is $$C= 1 \text{ F},$$ and the voltage of the ideal battery is given by $$V= 21 \text{ V}.$$

Given $$R_1 = 3.0\ \Omega,$$ $$R_2 = 6.0\ \Omega,$$ $$R_3 = 6.0\ \Omega,$$ $$R_4 = 12.0\ \Omega,$$ $$R_5 = 8.0\ \Omega,$$ $$R_6 = 4.0\ \Omega,$$ $$R_7 = 2.0\ \Omega$$ and $$R_8 = 4.0\ \Omega.$$ Find the charge of the capacitor in the circuit shown in the figure. The capacitance of the capacitor is $$C= 2 \text{ F},$$ and the voltage of the ideal battery is given by $$V= 54 \text{ V}.$$

Find the charge of the capacitor in the circuit shown in the figure above. The capacitance of the capacitor is $$C= 4 \text{ F},$$ the resistances of the resistors are $$R_1 = 2 \ \Omega$$ and $$R_2 = 5 ,\ \Omega$$ and the voltage of the ideal battery is given by $$V= 35 \text{ V}.$$

Given $$R_1 = 2.0\ \Omega,$$ $$R_2 = 4.0\ \Omega,$$ $$R_3 = 7.0\ \Omega,$$ $$R_4 = 14.0\ \Omega,$$ $$R_5 = 6.0\ \Omega,$$ $$R_6 = 3.0\ \Omega,$$ $$R_7 = 1.0\ \Omega$$ and $$R_8 = 2.0\ \Omega.$$ Find the charge of the capacitor in the circuit shown in the figure. The capacitance of the capacitor is $$C= 1 \text{ F},$$ and the voltage of the ideal battery is given by $$V= 36 \text{ V}.$$

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