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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 resistors

Given $R_1 = 3.0\ \Omega,$ $R_2 = 6.0\ \Omega,$ $R_3 = 4.0\ \Omega,$ $R_4 = 8.0\ \Omega,$ $R_5 = 6.0\ \Omega,$ $R_6 = 3.0\ \Omega,$ $R_7 = 6.0\ \Omega$ and $R_8 = 12.0\ \Omega,$ what is the approximate overall equivalent resistance?

5.8\ \Omega

17.6\ \Omega

23.4\ \Omega

11.7\ \Omega

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by Brilliant Staff

In the circuit above, $V=9.6\text{ V},$ $R_1=2\ \Omega,$ $R_2=9\ \Omega,$ and $R_3=18\ \Omega.$ Find the current through $R_3.$

0.4 A 0.8 A 0.2 A 0.6 A

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by Brilliant Staff

Given $R_1 = 5\ \Omega$ and $R_2 = 10\ \Omega,$ what is the overall equivalent resistance?

15 \ \Omega

20 \ \Omega

5 \ \Omega

6 \ \Omega

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by Brilliant Staff

Given $R_1 = 5.0\ \Omega,$ $R_2 = 4.0\ \Omega,$ $R_3 = 2.0\ \Omega,$ $R_4 = 6.0\ \Omega,$ and $R_5 = 8.0\ \Omega,$ what is the approximate overall equivalent resistance?