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Everyday Physics · Question 54 of 68

What is the total resistance of the circuit shown, as seen by the battery?

Question 54

MediumOriginal question

What is the total resistance of the circuit shown, as seen by the battery?

A 16 V battery connected to R1 = 4 Ω in series, followed by two resistors in parallel, R2 = 12 Ω and R3 = 6 Ω.
Options for question 54

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. R2 and R3 in parallel: 12 × 6 ÷ (12 + 6) = 72 ÷ 18 = 4 Ω.

  2. R1 is in series with that: 4 + 4 = 8 Ω.

Worth noting

22 Ω adds all three; 2 Ω puts all three in parallel; 13 Ω averages the parallel pair instead of combining it.

Concept
A series–parallel circuit
Typical time
60 s
Your time
—
The rule this testsElectricity and magnetism
Practise this chapter →

Ten questions from Everyday Physics, at your own pace.

Practise this chapter →

Ten questions from Everyday Physics, at your own pace.