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A shunt motor rotating at 1500 r/min is fed by a 120 V source. The line current is 51 A and the shunt field resistance is 120 ohms. If the armature resistance is 0.1 ohm, calculate the current in the armature.
- a)1 A
- b)51 A
- c)50 A
- d)12 A
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A shunt motor rotating at 1500 r/min is fed by a 120 V source. The lin...
Given that, line current (IL) = 51 A
Shunt field resistance (Rsh) = 120 Ω
Voltage (V) = 120 V
Shunt current (Ish) = 120/120 = 1 A
Armature current (Ia) = IL – Ish = 51 – 1 = 50 A
Shunt field resistance (Rsh) = 120 Ω
Voltage (V) = 120 V
Shunt current (Ish) = 120/120 = 1 A
Armature current (Ia) = IL – Ish = 51 – 1 = 50 A
Most Upvoted Answer
A shunt motor rotating at 1500 r/min is fed by a 120 V source. The lin...
Given data:
- Motor speed (N) = 1500 r/min
- Source voltage (V) = 120 V
- Line current (IL) = 51 A
- Shunt field resistance (Rsh) = 120 ohms
- Armature resistance (Ra) = 0.1 ohm
To find:
Current in the armature (Ia)
We can use Ohm's law to find the armature current. Ohm's law states that the current flowing through a conductor is directly proportional to the voltage applied and inversely proportional to the resistance of the conductor.
We know that the line current (IL) is the sum of the shunt field current (If) and the armature current (Ia). So, we can write:
IL = If + Ia
We are given the line current (IL) as 51 A, and we can calculate the shunt field current (If) using Ohm's law.
If = V / Rsh
If = 120 V / 120 ohms
If = 1 A
Now, we can substitute the values of IL and If into the equation IL = If + Ia to find Ia.
51 A = 1 A + Ia
Rearranging the equation, we find:
Ia = 51 A - 1 A
Ia = 50 A
Therefore, the current in the armature is 50 A. So, the correct answer is option C: 50 A.
- Motor speed (N) = 1500 r/min
- Source voltage (V) = 120 V
- Line current (IL) = 51 A
- Shunt field resistance (Rsh) = 120 ohms
- Armature resistance (Ra) = 0.1 ohm
To find:
Current in the armature (Ia)
We can use Ohm's law to find the armature current. Ohm's law states that the current flowing through a conductor is directly proportional to the voltage applied and inversely proportional to the resistance of the conductor.
We know that the line current (IL) is the sum of the shunt field current (If) and the armature current (Ia). So, we can write:
IL = If + Ia
We are given the line current (IL) as 51 A, and we can calculate the shunt field current (If) using Ohm's law.
If = V / Rsh
If = 120 V / 120 ohms
If = 1 A
Now, we can substitute the values of IL and If into the equation IL = If + Ia to find Ia.
51 A = 1 A + Ia
Rearranging the equation, we find:
Ia = 51 A - 1 A
Ia = 50 A
Therefore, the current in the armature is 50 A. So, the correct answer is option C: 50 A.
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A shunt motor rotating at 1500 r/min is fed by a 120 V source. The line current is 51 A and the shunt field resistance is 120 ohms. If the armature resistance is 0.1 ohm, calculate the current in the armature.a)1 Ab)51 Ac)50 Ad)12 ACorrect answer is option 'C'. Can you explain this answer?
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