Multiple Choice
Three resistors with resistances = , = , and = are connected in series. What is the equivalent resistance of the resistor network?
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27. Resistors & DC Circuits
Combining Resistors in Series & Parallel
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
What is the equivalent resistance of the following combination of resistors?
A
0.4 Ω
B
2.5 Ω
C
7.0 Ω
D
10 Ω
Verified step by step guidance1
Identify the configuration of the resistors in the circuit. The 2 Ω and 2 Ω resistors are in series, and their combination is in parallel with the 4 Ω resistor.
Calculate the equivalent resistance of the two 2 Ω resistors in series. The formula for resistors in series is R_series = R1 + R2.
Use the formula for resistors in parallel to find the equivalent resistance of the series combination (from step 2) and the 4 Ω resistor. The formula is 1/R_parallel = 1/R_series + 1/R3.
Add the equivalent resistance from the parallel combination (from step 3) to the 5 Ω resistor, which is in series with the parallel combination. Use the series formula again: R_total = R_parallel + R4.
The result from step 4 is the total equivalent resistance of the circuit.
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