GATE EE 2022 Set 1 — Question 34
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Electric Circuits → AC Power & Three-Phase → Balanced Three-Phase Circuits
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Question
Two balanced three-phase loads, as shown in the figure, are connected to a V, three-phase, 50 Hz main supply. Given and . The ammeter reading, in amperes, is _______. (round off to nearest integer)

Correct answer
20 to 20
Solution
Given supply voltage V. The phase voltage is V.
From the circuit diagram, is connected in delta and is connected in star.
Impedance values:
Line current for the delta load ():
A.Line current for the star load ():
A.Since both loads have the same impedance angle (), their line currents are in phase with each other relative to the phase voltage. Therefore, the total line current measured by the ammeter is:
A.
From the circuit diagram, is connected in delta and is connected in star.
Impedance values:
Line current for the delta load ():
A.Line current for the star load ():
A.Since both loads have the same impedance angle (), their line currents are in phase with each other relative to the phase voltage. Therefore, the total line current measured by the ammeter is:
A.
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