Solveeit Logo

Question

Question: A fuse wire with a circular cross sectional radius of 0.02 mm flows with a current of 5 amp. For wha...

A fuse wire with a circular cross sectional radius of 0.02 mm flows with a current of 5 amp. For what current, another fuse wire made from the same material with cross-sectional radius of 0.04 mm will flow –

A

1.5 amp

B

3 amp

C

5 amp

D

None of these

Answer

None of these

Explanation

Solution

Imax = 5 = VA1ρL\frac{VA_{1}}{\rho L}

I'max = VA2ρL\frac{VA_{2}}{\rho L}

5Imax\frac{5}{I'_{\max}} = A1A2=(0.0210.04)2\frac{A_{1}}{A_{2}} = \left( \frac{0.02}{10.04} \right)^{2}

I'max = 20 amp