A current of 10 A exists in a wire of cross-sectional area of 5mm² with a drift velocity of 2×10⁻³ ms⁻¹. The number of free electrons in each cubic meter of the wire is ……………
A current of 10 A exists in a wire of cross-sectional area of 5mm² with a drift velocity of 2×10⁻³ ms⁻¹. The number of free electrons in each cubic meter of the wire is ……………
Option 1 -
2 x 10²⁵
Option 2 -
1 x 10²³
Option 3 -
2 x 10⁸
Option 4 -
625 x 10²⁵
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1 Answer
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Correct Option - 4
Detailed Solution:Given:
- i = 10
- e = 1.6 x 10? ¹? C
- A = 5 x 10?
- V = 2 x 10? ³
The formula for current is I = neAV.
Rearranging for n (number of free electrons per unit volume):
n = I / (eAV)
n = 10 / (1.6 × 10? ¹? × 5 × 10? × 2 × 10? ³)
n = 625 × 10²?
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