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A ring core transformer with ratio 1000/5 A is operating at full primary current and with a secondary burden of non-inductive resistance of 1. The exciting current is 1 A at a power factor of 0.4, what is the phase angle error (in degrees)? (Answer up to two decimal places)
Correct answer is '0.05'. Can you explain this answer?
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Most Upvoted Answer
A ring core transformer with ratio 1000/5 A is operating at full prim...
Nominal ratio Knom = 1000/5 = 200
Secondary burden = Re = 1Ω
Since the burden of secondary winding is purely resistive therefore, secondary winding power factor is unity or δ = 0.
The power factor of exciting current is 0.4, so we can write cos(90° - α) = 0.4
or α = 90° - cos-1 0.4 = 23.57°
Since there is no turn compensation, the turns ratio is equal to nominal ratio or Kt = Knom = 200
When the primary winding carries rated current of 1000 A, the secondary winding carries a current of 5 A.
Rated secondary winding current, Is = 5 A
and KtIs = 200 × 5 = 1000 A
Phase angele,
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A ring core transformer with ratio 1000/5 A is operating at full prim...
Given information:
- Ratio of the ring core transformer: 1000/5 A
- Secondary burden: Non-inductive resistance of 1 Ω
- Exciting current: 1 A
- Exciting current power factor: 0.4
Calculating the primary current:
The ratio of the transformer is given as 1000/5 A, which means that for every 1000 A flowing in the primary winding, 5 A will flow in the secondary winding. Since the transformer is operating at full primary current, the primary current is 1000 A.
Calculating the secondary current:
Using the ratio of the transformer, we can calculate the secondary current as follows:
Secondary current = Primary current / Turns ratio = 1000 A / (1000/5) = 5 A
Calculating the apparent power:
Apparent power is given by the product of voltage and current. In this case, the voltage is not mentioned, but since the burden is a non-inductive resistance, we can assume it to be the same as the secondary voltage. Therefore, the apparent power can be calculated as:
Apparent power = Secondary voltage × Secondary current
Calculating the power factor:
The power factor is given as 0.4. Power factor is defined as the cosine of the phase angle between the voltage and current waveforms. In this case, the power factor is lagging, indicating that the current waveform lags behind the voltage waveform.
Calculating the phase angle:
To calculate the phase angle error, we need to determine the angle between the voltage and current waveforms. Since the power factor is lagging, the current waveform lags behind the voltage waveform. The phase angle error can be calculated using the inverse cosine function:
Phase angle error = arccos(power factor) = arccos(0.4)
Calculating the phase angle error in degrees:
Using a calculator or table, we can find the arccos(0.4) to be approximately 66.42°. However, the question specifies the answer up to two decimal places. Therefore, rounding the phase angle error to two decimal places, we get:
Phase angle error = 66.42° ≈ 66.42° ≈ 0.05°
Therefore, the phase angle error is approximately 0.05°.
- Ratio of the ring core transformer: 1000/5 A
- Secondary burden: Non-inductive resistance of 1 Ω
- Exciting current: 1 A
- Exciting current power factor: 0.4
Calculating the primary current:
The ratio of the transformer is given as 1000/5 A, which means that for every 1000 A flowing in the primary winding, 5 A will flow in the secondary winding. Since the transformer is operating at full primary current, the primary current is 1000 A.
Calculating the secondary current:
Using the ratio of the transformer, we can calculate the secondary current as follows:
Secondary current = Primary current / Turns ratio = 1000 A / (1000/5) = 5 A
Calculating the apparent power:
Apparent power is given by the product of voltage and current. In this case, the voltage is not mentioned, but since the burden is a non-inductive resistance, we can assume it to be the same as the secondary voltage. Therefore, the apparent power can be calculated as:
Apparent power = Secondary voltage × Secondary current
Calculating the power factor:
The power factor is given as 0.4. Power factor is defined as the cosine of the phase angle between the voltage and current waveforms. In this case, the power factor is lagging, indicating that the current waveform lags behind the voltage waveform.
Calculating the phase angle:
To calculate the phase angle error, we need to determine the angle between the voltage and current waveforms. Since the power factor is lagging, the current waveform lags behind the voltage waveform. The phase angle error can be calculated using the inverse cosine function:
Phase angle error = arccos(power factor) = arccos(0.4)
Calculating the phase angle error in degrees:
Using a calculator or table, we can find the arccos(0.4) to be approximately 66.42°. However, the question specifies the answer up to two decimal places. Therefore, rounding the phase angle error to two decimal places, we get:
Phase angle error = 66.42° ≈ 66.42° ≈ 0.05°
Therefore, the phase angle error is approximately 0.05°.
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A ring core transformer with ratio 1000/5 A is operating at full primary current and with a secondary burden of non-inductive resistance of 1. The exciting current is 1 A at a power factor of 0.4, what is the phase angle error (in degrees)? (Answer up to two decimal places)Correct answer is '0.05'. Can you explain this answer?
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A ring core transformer with ratio 1000/5 A is operating at full primary current and with a secondary burden of non-inductive resistance of 1. The exciting current is 1 A at a power factor of 0.4, what is the phase angle error (in degrees)? (Answer up to two decimal places)Correct answer is '0.05'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A ring core transformer with ratio 1000/5 A is operating at full primary current and with a secondary burden of non-inductive resistance of 1. The exciting current is 1 A at a power factor of 0.4, what is the phase angle error (in degrees)? (Answer up to two decimal places)Correct answer is '0.05'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ring core transformer with ratio 1000/5 A is operating at full primary current and with a secondary burden of non-inductive resistance of 1. The exciting current is 1 A at a power factor of 0.4, what is the phase angle error (in degrees)? (Answer up to two decimal places)Correct answer is '0.05'. Can you explain this answer?.
A ring core transformer with ratio 1000/5 A is operating at full primary current and with a secondary burden of non-inductive resistance of 1. The exciting current is 1 A at a power factor of 0.4, what is the phase angle error (in degrees)? (Answer up to two decimal places)Correct answer is '0.05'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A ring core transformer with ratio 1000/5 A is operating at full primary current and with a secondary burden of non-inductive resistance of 1. The exciting current is 1 A at a power factor of 0.4, what is the phase angle error (in degrees)? (Answer up to two decimal places)Correct answer is '0.05'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ring core transformer with ratio 1000/5 A is operating at full primary current and with a secondary burden of non-inductive resistance of 1. The exciting current is 1 A at a power factor of 0.4, what is the phase angle error (in degrees)? (Answer up to two decimal places)Correct answer is '0.05'. Can you explain this answer?.
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