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Question

Question: Find the magnetic flux density when a point from a finite current length element of current 0.5A and...

Find the magnetic flux density when a point from a finite current length element of current 0.5A and radius 100nm.

A

7

B

5

C

1

D

0

Answer

1

Explanation

Solution

The magnetic flux density (B) due to a long straight current-carrying wire is calculated using the formula B=μ0I2πrB = \frac{\mu_0 I}{2\pi r}. Given current I=0.5 AI = 0.5 \text{ A} and distance r=100 nm=107 mr = 100 \text{ nm} = 10^{-7} \text{ m}, and using the permeability of free space μ0=4π×107 T m/A\mu_0 = 4\pi \times 10^{-7} \text{ T m/A}, the calculation yields B=(4π×107)×0.52π×107=1 TB = \frac{(4\pi \times 10^{-7}) \times 0.5}{2\pi \times 10^{-7}} = 1 \text{ T}.