GATE EE 2020 Set 1 — Question 28
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Electric Circuits → Transient & AC Steady-State → Phasors, Impedance & Admittance
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Question
Currents through ammeters A2 and A3 in the figure are and , respectively. The reading of the ammeter A1 (rounded off to decimal places) is ________ A.
Correct answer
1.7 to 1.75
Solution
The reading of ammeter A1 is the magnitude of the total phasor current . According to Kirchhoff's Current Law (KCL) at the junction:Given:
The magnitude of the sum of two phasors and is given by:Since :Rounding to 3 decimal places, the reading is .
The magnitude of the sum of two phasors and is given by:Since :Rounding to 3 decimal places, the reading is .
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