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Electricity and Magnetism

Circuit Behavior

Concept Quizzes

Kirchoff's Current Law (conservation at nodes)
Kirchoff's Voltage Law (closed loops)
Series and parallel resistors
Series and parallel capacitors
RC circuits (direct current)
Circuit Behavior - Problem Solving

Challenge Quizzes

Circuit Behavior: Level 2-3 Challenges
Circuit Behavior: Level 4-5 Challenges

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 $V= 35 \text{ V}.$

10 \text{ C}

15 \text{ C}

35 \text{ C}

25 \text{ C}

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by Brilliant Staff

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 $V= 21 \text{ V}.$

6 \text{ C}

4 \text{ C}

2 \text{ C}

8 \text{ C}

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by Brilliant Staff

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 $V= 54 \text{ V}.$

45 \text{ C}

27 \text{ C}

54 \text{ C}

36 \text{ C}

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by Brilliant Staff

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 $V= 35 \text{ V}.$

20 \text{ C}

30 \text{ C}

50 \text{ C}

40 \text{ C}

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by Brilliant Staff

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 $V= 36 \text{ V}.$

14 \text{ C}

23 \text{ C}

19 \text{ C}

28 \text{ C}

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by Brilliant Staff