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two devices of rating 44W,220 V and 11W,220 V are connected in series. the combination is connected across a 440W mains. the fuse of which of the two devices is likely to burn when the switch is ON.? justify your answer
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two devices of rating 44W,220 V and 11W,220 V are connected in series....
Introduction
When two devices are connected in series, the same current flows through each device. To determine which fuse is likely to burn when connected to a 440W mains, we need to analyze the power and current ratings of each device.
Device Ratings
- Device 1: 44W, 220V
- Device 2: 11W, 220V
Calculating Resistance
Using the formula:
Resistance (R) = V^2 / P
- For Device 1:
- R1 = (220^2) / 44 = 1100 ohms
- For Device 2:
- R2 = (220^2) / 11 = 4400 ohms
Total Resistance in Series
- Total Resistance (R_total) = R1 + R2 = 1100 + 4400 = 5500 ohms
Calculating Total Current
Using Ohm's Law:
I = V / R_total
- The total voltage (V) across the devices is 220V.
- I = 220 / 5500 = 0.04A (40mA)
Power Consumption in Each Device
- Power consumed by Device 1:
- P1 = I^2 * R1 = (0.04^2) * 1100 = 1.76W
- Power consumed by Device 2:
- P2 = I^2 * R2 = (0.04^2) * 4400 = 7.04W
Total Power Consumption
- Total Power = P1 + P2 = 1.76W + 7.04W = 8.8W
Conclusion
The current flowing through both devices is well below their rating, but since they are connected in series, the device with the lower power rating (Device 2 - 11W) operates closer to its limits.
Thus, the fuse of Device 2 is likely to burn first if the total current exceeds its safe operating limit.
When two devices are connected in series, the same current flows through each device. To determine which fuse is likely to burn when connected to a 440W mains, we need to analyze the power and current ratings of each device.
Device Ratings
- Device 1: 44W, 220V
- Device 2: 11W, 220V
Calculating Resistance
Using the formula:
Resistance (R) = V^2 / P
- For Device 1:
- R1 = (220^2) / 44 = 1100 ohms
- For Device 2:
- R2 = (220^2) / 11 = 4400 ohms
Total Resistance in Series
- Total Resistance (R_total) = R1 + R2 = 1100 + 4400 = 5500 ohms
Calculating Total Current
Using Ohm's Law:
I = V / R_total
- The total voltage (V) across the devices is 220V.
- I = 220 / 5500 = 0.04A (40mA)
Power Consumption in Each Device
- Power consumed by Device 1:
- P1 = I^2 * R1 = (0.04^2) * 1100 = 1.76W
- Power consumed by Device 2:
- P2 = I^2 * R2 = (0.04^2) * 4400 = 7.04W
Total Power Consumption
- Total Power = P1 + P2 = 1.76W + 7.04W = 8.8W
Conclusion
The current flowing through both devices is well below their rating, but since they are connected in series, the device with the lower power rating (Device 2 - 11W) operates closer to its limits.
Thus, the fuse of Device 2 is likely to burn first if the total current exceeds its safe operating limit.
Community Answer
two devices of rating 44W,220 V and 11W,220 V are connected in series....
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two devices of rating 44W,220 V and 11W,220 V are connected in series. the combination is connected across a 440W mains. the fuse of which of the two devices is likely to burn when the switch is ON.? justify your answer
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two devices of rating 44W,220 V and 11W,220 V are connected in series. the combination is connected across a 440W mains. the fuse of which of the two devices is likely to burn when the switch is ON.? justify your answer for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about two devices of rating 44W,220 V and 11W,220 V are connected in series. the combination is connected across a 440W mains. the fuse of which of the two devices is likely to burn when the switch is ON.? justify your answer covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for two devices of rating 44W,220 V and 11W,220 V are connected in series. the combination is connected across a 440W mains. the fuse of which of the two devices is likely to burn when the switch is ON.? justify your answer.
two devices of rating 44W,220 V and 11W,220 V are connected in series. the combination is connected across a 440W mains. the fuse of which of the two devices is likely to burn when the switch is ON.? justify your answer for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about two devices of rating 44W,220 V and 11W,220 V are connected in series. the combination is connected across a 440W mains. the fuse of which of the two devices is likely to burn when the switch is ON.? justify your answer covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for two devices of rating 44W,220 V and 11W,220 V are connected in series. the combination is connected across a 440W mains. the fuse of which of the two devices is likely to burn when the switch is ON.? justify your answer.
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