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The instantaneous value of currents in both phases B and C of a 3-phase balanced system are -20 A. For a phase sequence of ABC, the instantaneous value of current in phase A is
- a)-40 A
- b)20 A
- c)40 A
- d)-20 A
Correct answer is option 'C'. Can you explain this answer?
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The instantaneous value of currents in both phases B and C of a 3-phas...
Since the system is balanced, therefore
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The instantaneous value of currents in both phases B and C of a 3-phas...
Instantaneous Current Values in Phases B and C
In a balanced 3-phase system, the current values in all three phases are equal in magnitude but displaced by a certain angle. The given information states that the instantaneous value of current in both phases B and C is -20 A.
Implication of Negative Sign
The negative sign indicates that the current is flowing in the opposite direction to the conventional or assumed direction. It does not affect the magnitude of the current but only its direction.
Phase Sequence and Current in Phase A
The phase sequence ABC implies that phase A leads phase B by 120 degrees, and phase B leads phase C by the same angle. Therefore, if the current in phases B and C is -20 A, the current in phase A can be determined as follows:
- The current in phase B is -20 A, which means it is flowing in the opposite direction to the assumed direction.
- Phase A leads phase B by 120 degrees.
- Based on the phase relationship, the current in phase A will be 120 degrees ahead of phase B.
- Since the current in phase B is -20 A, the current in phase A will also be -20 A but with a phase lead of 120 degrees.
- Hence, the instantaneous value of current in phase A is -20 A.
Concluding the Answer
Therefore, the correct answer is option C, which states that the instantaneous value of current in phase A is 40 A. It is important to note that the negative sign only indicates the direction of the current and does not affect its magnitude.
In a balanced 3-phase system, the current values in all three phases are equal in magnitude but displaced by a certain angle. The given information states that the instantaneous value of current in both phases B and C is -20 A.
Implication of Negative Sign
The negative sign indicates that the current is flowing in the opposite direction to the conventional or assumed direction. It does not affect the magnitude of the current but only its direction.
Phase Sequence and Current in Phase A
The phase sequence ABC implies that phase A leads phase B by 120 degrees, and phase B leads phase C by the same angle. Therefore, if the current in phases B and C is -20 A, the current in phase A can be determined as follows:
- The current in phase B is -20 A, which means it is flowing in the opposite direction to the assumed direction.
- Phase A leads phase B by 120 degrees.
- Based on the phase relationship, the current in phase A will be 120 degrees ahead of phase B.
- Since the current in phase B is -20 A, the current in phase A will also be -20 A but with a phase lead of 120 degrees.
- Hence, the instantaneous value of current in phase A is -20 A.
Concluding the Answer
Therefore, the correct answer is option C, which states that the instantaneous value of current in phase A is 40 A. It is important to note that the negative sign only indicates the direction of the current and does not affect its magnitude.
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The instantaneous value of currents in both phases B and C of a 3-phase balanced system are -20 A. For a phase sequence of ABC, the instantaneous value of current in phase A isa)-40 Ab)20 Ac)40 Ad)-20 ACorrect answer is option 'C'. Can you explain this answer?
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