A battery of negligible internal resistance is connected to a resistor in series with a parallel combination of a resistor and a resistor. What is the current through the resistor?

Answer and explanation

Correct answer: C.

  1. Step 1: The parallel pair has , so the total resistance is .
  2. Step 2: The battery current is , and the voltage across the parallel pair is .
  3. Step 3: The current in the resistor is .
Answer
.
Why not the others: is the current through the resistor; is the total battery current; results from wrongly taking across the parallel pair.

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