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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

Series and parallel capacitors

Given $C_1 = 5.0 \times 10^{-12} \text{ F}$ and $C_2 = 9.0 \times 10^{-12} \text{ F},$ what is the equivalent capacitance of the circuit above?

14.0 \times 10^{-12} \text{ F}

9.0 \times 10^{-12} \text{ F}

21.0 \times 10^{-12} \text{ F}

5.0 \times 10^{-12} \text{ F}

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by Brilliant Staff

Given $C_1 = 5.0 \text{ F},$ $C_2 = 9.0 \text{ F},$ $C_3 = 9.0 \text{ F},$ $C_4 = 6.0 \text{ F},$ $C_5 = 8.0 \text{ F},$ $C_6 = C_7 =C_8 = C_9 = 32.0 \text{ F},$ and $C_{10} = C_{11} = C_{12} = C_{13} = 24.0 \text{ F},$ what is the approximate overall equivalent capacitance of the circuit above?

7.4 \text{ F}

3.7 \text{ F}

1.9 \text{ F}

5.5 \text{ F}

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by Brilliant Staff

Given $C_1 = C_2=4 \text{ F},$ what is the equivalent capacitance of the two capacitors?

6 \text{ F}

4 \text{ F}

8 \text{ F}

2 \text{ F}

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by Brilliant Staff

Find the approximate equivalent capacitance of the combination of capacitors in the above figure, where $C_1 = 5.0 \text{ F},$ $C_2 = 5.0 \text{ F}.$ $C_3 = 5.0 \text{ F},$ $C_4 = 10.0 \text{ F},$ $C_5 = 10.0 \text{ F}$ and $C_6 = 10.0 \text{ F}.$

18.3 \text{ F}

9.2 \text{ F}

27.4 \text{ F}

36.6 \text{ F}

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by Brilliant Staff

Given $C_1 = 8.0 \text{ F},$ $C_2 = 7.0 \text{ F},$ $C_3 = 6.0 \text{ F} ,$ and $C_4 = 6.0 \text{ F},$ what is the approximate overall equivalent capacitance of the circuit above?

3.2 \text{ F}

11.2 \text{ F}

3.9 \text{ F}

1.9 \text{ F}

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by Brilliant Staff