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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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