Two devices of rating 22 W; 220 V and 11 W ; 220 V are connected in series. The combination is
connected across a 440 V mains. The fuse of which of the two devices is likely to burn when
switch is on ? Justify your name.
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Question:
● Two devices of rating 22 W ; 220 V and 11 W ; 220 V are connected in series. The combination is connected across a 440 V mains. The fuse of which of the two devices is likely to burn when switch is on?
Answer:
Given:
Device 1 :
● Power = 22 W
● Voltage = 220 V
Device 2 :
● Power = 11 W
● Voltage = 220 V
To Find:
● The device which is likely to burn when switch is on?
Solution:
☯ P = V²/R
☯ I ∝ 1/R
✭ According to the Question :
For Device 1,
→ P = V²/R
→ 22 = 220²/R
→ R = 48400/22
→ R = 2200 Ω
For Device 2,
→ P = V²/R
→ 11 = 220²/R
→ R = 48400/11
→ R = 4400 Ω
● So, the device with the highest resistance would consume lesser current as I (current) is inversely proportional to R (resistance).
∴ The device with P = 22 W is likely to burn when switch is on (Device 1).
Answer: Device 1 is likely to burn when switch is on.
Hope it helps you!!(●'◡'●)
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