Question

Решите пожалуйста, буду очень благодарна) Определите индукцию магнитного поля В в центре тонкого кольца радиусом r = 50 мм, сила тока в котором I = 5 A.

Answer 1

r=0.05 м   I=5 A    B=?

B=μo*I/(2*r)=12.57*10^-7*5/(2*0.05)=6.28*10^-5 Тл

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Answer 2

Calculating the Magnetic Field Induction at the Center of a Thin Ring

To calculate the magnetic field induction at the center of a thin ring with a radius of 50 mm and a current of 5 A, we can use the formula for the magnetic field induction at the center of a circular loop, which is given by:

B = (μ₀ * I) / (2 * r)

Where: - B is the magnetic field induction - μ₀ is the permeability of free space (constant value) - I is the current flowing through the loop - r is the radius of the loop

Calculation

Substituting the given values into the formula: - μ₀ is a constant with a value of approximately 4π x 10^-7 T·m/A - I = 5 A - r = 50 mm = 0.05 m

We can calculate the magnetic field induction at the center of the thin ring:

B = (4π x 10^-7 T·m/A * 5 A) / (2 * 0.05 m)

B ≈ 1.2566 x 10^-6 T

Conclusion

The magnetic field induction at the center of the thin ring with a radius of 50 mm and a current of 5 A is approximately 1.2566 x 10^-6 T.