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GATE 2020 EE – Question 28

Electric Circuits · Transient response of DC and AC networks, sinusoidal steady-state analysis, resonance, two port networks, balanced three phase circuits, star-delta transformation, complex power and power factor in AC circuits · 1 mark · Numerical answer

Currents through ammeters A2 and A3 in the figure are $1\angle10^\circ$ and $1\angle70^\circ$, respectively. The reading of the ammeter A1 (rounded off to 3 decimal places) is ________ A.

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Correct answer: 1.700 to 1.750

Explanation

A1 carries the sum of the two branch currents: $1\angle10^\circ+1\angle70^\circ=2\cos30^\circ\angle40^\circ=1.732\angle40^\circ$. So the ammeter reads 1.732 A.