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Energy lost due to hysteresis during each cycle in the core of a transformer working at 50 Hz is 6 J. What will be the power loss due to hysteresis?
- a)300 W
- b)200 W
- c)100 W
- d)600 W
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Energy lost due to hysteresis during each cycle in the core of a trans...
- The energy lost due to hysteresis per cycle is 6 J, but to find the power loss,
we need to consider the frequency (50 Hz) at which the transformer operates. - Here's how to calculate the power loss due to hysteresis:
- Cycles per Second:
- The transformer operates at 50 Hz, which means it completes 50 cycles in one second.
- Energy Loss per Second:
- We know the energy lost per cycle is 6 J.
To find the total energy loss per second, we multiply the energy per cycle by the number of cycles per second: - Energy loss per second (Wh) = Energy per cycle (J) * Cycles per second
- Energy loss per second (Wh) = 6 J * 50 cycles/s
- Conversion to Watts:
- The unit for energy loss per cycle is Joules (J),
and the unit for power loss is Watts (W).
We need to convert Joules to Watt-seconds (Ws) before calculating the power loss in Watts.
There are 1 Joule per Watt-second (1 J/Ws).
Energy loss per second (Ws) = Energy loss per second (Wh) * (1 Ws/J)
Energy loss per second (Ws) = 6 J * 50 cycles/s * (1 Ws/J) - Power Loss:
- Power is the rate of energy loss per unit time. Since we have the energy loss per second in Watt-seconds (Ws),
we can directly define it as the power loss due to hysteresis. - Therefore, the power loss due to hysteresis in the transformer is 300 Watts (W).
Most Upvoted Answer
Energy lost due to hysteresis during each cycle in the core of a trans...
Calculation of Power Loss due to Hysteresis:
Given:
Energy lost per cycle = 6 J
Frequency (f) = 50 Hz
Formula:
Power = Energy / Time
Calculation:
- Energy lost per second (Power) = 6 J * 50 Hz = 300 J/s = 300 W
Therefore, the power loss due to hysteresis in the transformer core is 300 W, which corresponds to option 'A'.
Given:
Energy lost per cycle = 6 J
Frequency (f) = 50 Hz
Formula:
Power = Energy / Time
Calculation:
- Energy lost per second (Power) = 6 J * 50 Hz = 300 J/s = 300 W
Therefore, the power loss due to hysteresis in the transformer core is 300 W, which corresponds to option 'A'.
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Energy lost due to hysteresis during each cycle in the core of a transformer working at 50 Hz is 6 J. What will be the power loss due to hysteresis?a)300 Wb)200 Wc)100 Wd)600 WCorrect answer is option 'A'. Can you explain this answer?
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