What is the magnetic field strength at a distance of 2 cm from a wire carrying a current of 5 A?

What is the magnetic field strength at a distance of 2 cm from a wire carrying a current of 5 A?

Explanation
Formula:

2πr

Where:


  • mu_0 = 4pi times 10^{-7} , text{T·m/A}
     


  • I = 5 , text{A}
    (current)

  • r=2cm=0.02mr = 2,text{cm} = 0.02,text{m}

Substituting Values:


B = frac{4pi times 10^{-7} , text{T·m/A} times 5 , text{A}}{2 times 3.14 times 0.02, text{m}}
2×3.14×0.02m

Let’s calculate step by step:

Numerator:


4pi times 10^{-7} times 5 = 20pi times 10^{-7}

Denominator:


2 times 3.14 times 0.02 = 0.1256

Now,


B = frac{20pi times 10^{-7}}{0.1256}
0.1256


approx frac{62.8 times 10^{-7}}{0.1256} approx 5 times 10^{-5} , text{T}
0.1256 5×10^5T