A fuse wire of a circular cross-section of radius 1.6 mm blows off at 16 A. At what current will it blow off if the radius is reduced to 0.4 mm?

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MPPGCL JE Electrical 28 April 2023 Shift 3 Official Paper
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  1. 4 A
  2. 12 A
  3. 8 A
  4. 2 A

Answer (Detailed Solution Below)

Option 4 : 2 A
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Detailed Solution

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Concept:

Fusing current is proportional to the 3/2 power of the wire’s radius:

\( \frac{I_1}{I_2} = \left( \frac{r_1}{r_2} \right)^{3/2} \)

Substituting: \( \frac{16}{I_2} = (4)^{3/2} = 8 \Rightarrow I_2 = 2\ \text{A} \)

 

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