In the circuit shown on figure, the ideal ammeters A1 and A2 show currents of 3A and 2A respectively. After the resistors in the left and the middle in the circuit have been interchanged, the ammeter readings don't change. What current flows through the battery? The emf of the battery may be assumed constant. The resistance of the ammeters is negligible.

Engineering

Physics

Ohm Law and Current Basics

Question

In the circuit shown on figure, the ideal ammeters A₁ and A₂ show currents of 3A and 2A respectively. After the resistors in the left and the middle in the circuit have been interchanged, the ammeter readings don't change. What current flows through the battery? The emf of the battery may be assumed constant. The resistance of the ammeters is negligible.

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Current does not change
⟹ R_left = R_middle

$3 = \frac{V}{R} + \frac{V}{R_{1}}$

$2 = \frac{2 V}{R}$

$i_{battery} = 3 + \frac{V}{R} = 4 A$

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