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calcular la intensidad de la corriente eléctrica que fluye por un conductor para que en un punto a 5 cm de distancia se genere un campo magnético de 3. 2x10‐⁶ T. ​

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Answer 1

To generate a magnetic field of 3.2x10^-6 T at a point 5 cm away, the required electric current intensity can be calculated using the formula I = (B * 2π * r) / μ₀, where B is the magnetic field, r is the distance, and μ₀ is the permeability of free space.

To generate a magnetic field of 3.2x10^-6 T at a point 5 cm away, the required electric current intensity can be calculated using the appropriate formula.

The intensity of the magnetic field generated by an electric current flowing through a conductor can be determined by Ampere's Law. According to this law, the magnetic field (B) produced at a certain distance (r) from a straight conductor is directly proportional to the electric current (I) flowing through the conductor.

The formula for Ampere's Law can be expressed as B = (μ₀ * I) / (2π * r), where μ₀ represents the permeability of free space, I is the electric current, and r is the distance from the conductor.

In this scenario, we are given that the desired magnetic field (B) is 3.2x10^-6 T and the distance (r) from the conductor is 5 cm, which can be converted to meters as 0.05 m.

To calculate the electric current intensity (I), we rearrange the formula as I = (B * 2π * r) / μ₀. By substituting the known values into the equation, we can find the required electric current intensity.

I = (3.2x10^-6 T * 2π * 0.05 m) / μ₀

The value of μ₀, known as the permeability of free space, is a fundamental constant equal to 4π x 10^-7 T m/A.

By substituting this value and performing the calculation, we can determine the electric current intensity needed to generate a magnetic field of 3.2x10^-6 T at a distance of 5 cm from the conductor.

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