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A 20 kva 800/480 v distribution taransformer has the following resistance and ractance Rr 32ohms,RI 0.05 ohms xr 45ohms,xs 0.06ohms,Rc 250kohms,xu 30 kohm,, assume that this Transformer is supplying rated load at 480v and 0.8 pf lagging, what is this Transformer input voltage? What is its voltage requlation?
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A 20 kva 800/480 v distribution taransformer has the following resista...
Input Voltage Calculation
- The input voltage of the transformer can be calculated using the formula:
V1 = V2 + I(Zr * cos(θ) + Zx * sin(θ))
where V1 is the input voltage, V2 is the output voltage (480V), I is the rated load current, Zr is the resistance, Zx is the reactance, and θ is the power factor angle.
Calculating Input Voltage
- Given that the power factor is lagging (0.8 pf), the power factor angle (θ) can be calculated as arccos(0.8) = 36.87 degrees.
- Substituting the given values into the formula, we get:
V1 = 480 + I(32*0.8 + 45*0.6) = 480 + I(25.6 + 27) = 480 + 52.6I
Voltage Regulation Calculation
- Voltage regulation is the percentage change in input voltage from no-load to full-load conditions.
- The voltage regulation can be calculated using the formula:
VR = ((V2 - V1) / V1) * 100
Calculating Voltage Regulation
- Substituting the calculated input voltage into the formula, we get:
VR = ((480 - (480 + 52.6I)) / (480 + 52.6I)) * 100
VR = (-52.6I / (480 + 52.6I)) * 100
Explanation
- The input voltage of the transformer is 480 + 52.6I, where I is the rated load current.
- The voltage regulation is calculated as the percentage change in input voltage from no-load to full-load conditions.
- By determining the input voltage and voltage regulation, we can assess the performance and efficiency of the transformer under specified conditions.
- The input voltage of the transformer can be calculated using the formula:
V1 = V2 + I(Zr * cos(θ) + Zx * sin(θ))
where V1 is the input voltage, V2 is the output voltage (480V), I is the rated load current, Zr is the resistance, Zx is the reactance, and θ is the power factor angle.
Calculating Input Voltage
- Given that the power factor is lagging (0.8 pf), the power factor angle (θ) can be calculated as arccos(0.8) = 36.87 degrees.
- Substituting the given values into the formula, we get:
V1 = 480 + I(32*0.8 + 45*0.6) = 480 + I(25.6 + 27) = 480 + 52.6I
Voltage Regulation Calculation
- Voltage regulation is the percentage change in input voltage from no-load to full-load conditions.
- The voltage regulation can be calculated using the formula:
VR = ((V2 - V1) / V1) * 100
Calculating Voltage Regulation
- Substituting the calculated input voltage into the formula, we get:
VR = ((480 - (480 + 52.6I)) / (480 + 52.6I)) * 100
VR = (-52.6I / (480 + 52.6I)) * 100
Explanation
- The input voltage of the transformer is 480 + 52.6I, where I is the rated load current.
- The voltage regulation is calculated as the percentage change in input voltage from no-load to full-load conditions.
- By determining the input voltage and voltage regulation, we can assess the performance and efficiency of the transformer under specified conditions.
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A 20 kva 800/480 v distribution taransformer has the following resistance and ractance Rr 32ohms,RI 0.05 ohms xr 45ohms,xs 0.06ohms,Rc 250kohms,xu 30 kohm,, assume that this Transformer is supplying rated load at 480v and 0.8 pf lagging, what is this Transformer input voltage? What is its voltage requlation?
Question Description
A 20 kva 800/480 v distribution taransformer has the following resistance and ractance Rr 32ohms,RI 0.05 ohms xr 45ohms,xs 0.06ohms,Rc 250kohms,xu 30 kohm,, assume that this Transformer is supplying rated load at 480v and 0.8 pf lagging, what is this Transformer input voltage? What is its voltage requlation? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A 20 kva 800/480 v distribution taransformer has the following resistance and ractance Rr 32ohms,RI 0.05 ohms xr 45ohms,xs 0.06ohms,Rc 250kohms,xu 30 kohm,, assume that this Transformer is supplying rated load at 480v and 0.8 pf lagging, what is this Transformer input voltage? What is its voltage requlation? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 20 kva 800/480 v distribution taransformer has the following resistance and ractance Rr 32ohms,RI 0.05 ohms xr 45ohms,xs 0.06ohms,Rc 250kohms,xu 30 kohm,, assume that this Transformer is supplying rated load at 480v and 0.8 pf lagging, what is this Transformer input voltage? What is its voltage requlation?.
A 20 kva 800/480 v distribution taransformer has the following resistance and ractance Rr 32ohms,RI 0.05 ohms xr 45ohms,xs 0.06ohms,Rc 250kohms,xu 30 kohm,, assume that this Transformer is supplying rated load at 480v and 0.8 pf lagging, what is this Transformer input voltage? What is its voltage requlation? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A 20 kva 800/480 v distribution taransformer has the following resistance and ractance Rr 32ohms,RI 0.05 ohms xr 45ohms,xs 0.06ohms,Rc 250kohms,xu 30 kohm,, assume that this Transformer is supplying rated load at 480v and 0.8 pf lagging, what is this Transformer input voltage? What is its voltage requlation? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 20 kva 800/480 v distribution taransformer has the following resistance and ractance Rr 32ohms,RI 0.05 ohms xr 45ohms,xs 0.06ohms,Rc 250kohms,xu 30 kohm,, assume that this Transformer is supplying rated load at 480v and 0.8 pf lagging, what is this Transformer input voltage? What is its voltage requlation?.
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