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A 3300 V ,delta connected motor has a synchronous reactance per phase of 18 ohm. It operates at a leading power factor of 0.707 when drawing 800kW from the mains. Calculate its excitation e.m.f?
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A 3300 V ,delta connected motor has a synchronous reactance per phase ...
**Given:**
- Voltage (V) = 3300 V
- Connection = Delta
- Synchronous reactance per phase (Xs) = 18 Ω
- Power factor (pf) = 0.707 (leading)
- Power (P) = 800 kW
**To find:**
- Excitation e.m.f (E)
**Formula:**
- Power (P) = √3 * V * I * pf
- Where, I = current
- E = I * Xs
**Calculation:**
- √3 = 1.732
- I = P / (√3 * V * pf)
- I = 800000 / (1.732 * 3300 * 0.707)
- I = 186.93 A
- E = I * Xs
- E = 186.93 * 18
- E = 3364.74 V
**Answer:**
- Excitation e.m.f (E) = 3364.74 V
**Explanation:**
- The given motor is delta connected, which means the line voltage is equal to the phase voltage.
- The power factor is leading, which means the current leads the voltage.
- The power drawn by the motor is 800 kW, which means the total power drawn by the three phases is 2400 kW.
- Using the power formula, we can calculate the current drawn by the motor.
- Using the excitation formula, we can calculate the excitation e.m.f required for the motor to operate at the given power factor and power.
- Therefore, the excitation e.m.f of the motor is 3364.74 V.
- Voltage (V) = 3300 V
- Connection = Delta
- Synchronous reactance per phase (Xs) = 18 Ω
- Power factor (pf) = 0.707 (leading)
- Power (P) = 800 kW
**To find:**
- Excitation e.m.f (E)
**Formula:**
- Power (P) = √3 * V * I * pf
- Where, I = current
- E = I * Xs
**Calculation:**
- √3 = 1.732
- I = P / (√3 * V * pf)
- I = 800000 / (1.732 * 3300 * 0.707)
- I = 186.93 A
- E = I * Xs
- E = 186.93 * 18
- E = 3364.74 V
**Answer:**
- Excitation e.m.f (E) = 3364.74 V
**Explanation:**
- The given motor is delta connected, which means the line voltage is equal to the phase voltage.
- The power factor is leading, which means the current leads the voltage.
- The power drawn by the motor is 800 kW, which means the total power drawn by the three phases is 2400 kW.
- Using the power formula, we can calculate the current drawn by the motor.
- Using the excitation formula, we can calculate the excitation e.m.f required for the motor to operate at the given power factor and power.
- Therefore, the excitation e.m.f of the motor is 3364.74 V.
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A 3300 V ,delta connected motor has a synchronous reactance per phase of 18 ohm. It operates at a leading power factor of 0.707 when drawing 800kW from the mains. Calculate its excitation e.m.f?
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A 3300 V ,delta connected motor has a synchronous reactance per phase of 18 ohm. It operates at a leading power factor of 0.707 when drawing 800kW from the mains. Calculate its excitation e.m.f? 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 3300 V ,delta connected motor has a synchronous reactance per phase of 18 ohm. It operates at a leading power factor of 0.707 when drawing 800kW from the mains. Calculate its excitation e.m.f? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3300 V ,delta connected motor has a synchronous reactance per phase of 18 ohm. It operates at a leading power factor of 0.707 when drawing 800kW from the mains. Calculate its excitation e.m.f?.
A 3300 V ,delta connected motor has a synchronous reactance per phase of 18 ohm. It operates at a leading power factor of 0.707 when drawing 800kW from the mains. Calculate its excitation e.m.f? 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 3300 V ,delta connected motor has a synchronous reactance per phase of 18 ohm. It operates at a leading power factor of 0.707 when drawing 800kW from the mains. Calculate its excitation e.m.f? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3300 V ,delta connected motor has a synchronous reactance per phase of 18 ohm. It operates at a leading power factor of 0.707 when drawing 800kW from the mains. Calculate its excitation e.m.f?.
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