Question

Проводник длиной 30 см расположен горизонтально. какое значение должна иметь индукция магнитного поля, чтобы сила тяжести проводника массой 6г уравновешивалась силой Ампера? по проводнику течёт ток 5 А

Answer 1

Fa= F тяж
I B L = mg
B= mg / IL
B= 0,006*10\  5*0,3=0,04 Тл

Answer 2

Calculation of Magnetic Field Induction

To determine the value of the magnetic field induction required to balance the gravitational force on a conductor, we can use the formula:

F = BIL

Where: - F is the force experienced by the conductor (equal to the gravitational force in this case) - B is the magnetic field induction - I is the current flowing through the conductor - L is the length of the conductor

Given that the length of the conductor is 30 cm (or 0.3 m) and the current flowing through the conductor is 5 A, we can substitute these values into the formula:

F = B * 5 * 0.3

To balance the gravitational force, the magnetic field induction (B) should be equal to the force (F) divided by the product of the current (I) and the length of the conductor (L). Let's calculate the value:

B = F / (I * L)

Substituting the given values:

B = (6 g * 9.8 m/s^2) / (5 A * 0.3 m)

Calculating the numerator:

B = (0.006 kg * 9.8 m/s^2) / (5 A * 0.3 m)

B = 0.0588 N / (1.5 A * m)

Simplifying:

B ≈ 0.0392 T

Therefore, the magnetic field induction required to balance the gravitational force on the conductor is approximately 0.0392 Tesla.