Three ammeters are located near junction P in a direct current circuit as shown in the diagram below.

If ammeter Al reads 3 amperes and ammeter A2 reads 4 amperes, then what does ammeter A3 read?

Question

Three ammeters are located near junction P in a direct current circuit as shown in the diagram below.

If ammeter Al reads 3 amperes and ammeter A2 reads 4 amperes, then what does ammeter A3 read?

BlackTom AI · Accepted Answer

In this DC circuit, Kirchhoff's current law applies at the junction P: the sum of currents entering a node must equal the sum of currents leaving the node.

Here, ammeters A1 and A2 read the currents in the two branches that meet at junction P, with values I1 = 3 A and I2 = 4 A respectively.

If ammeter A3 is located in the main branch that carries the combined current away from the junction, then the current in that branch must equal the total current arriving at the junction from the two branches: I3 = I1 + I2 = 3 A + 4 A = 7 A.

Therefore, A3 reads 7 A.

Note: this conclusion assumes the indicated directions of positive current for A1, A2, and A3 are such that the currents in A1 and A2 combine to form the current in A3. If the directions were defined differently, signs might change, but the magnitude would still reflect the sum of the branch currents in a consistent configuration.

In summary, applying current conservation at the junction gives I3 = 3 A + 4 A = 7 A, so A3 reads 7 A.

Three ammeters are located near junction P in a direct current circuit as shown in the diagram below. If ammeter Al reads 3 amperes and ammeter A2 reads 4 amperes, then what does ammeter A3 read?单项选择题

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