Question

Прямолинейный проводник расположен в однородном магнитном поле перпендикулярно вектору магнитной индукции. Сила тока в проводнике 0,2 А. Силу тока увеличили до 0,4 А и повернули проводник так, чтобы сила, действующая на него со стороны магнитного поля, не изменилась. Чему равен угол между проводником и вектором магнитной индукции после поворота проводника?

Answer 1

I1=0.2 A      I2=0.4 A    α=?

===

F1=F2

I1*B*L*sin90=I2*B*L*sinα

sinα=I1/I2=0.2/0.4=0.5

α=arcsin0.5=30°

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Answer 2

Calculation of the Angle between the Conductor and Magnetic Induction Vector

To calculate the angle between the conductor and the magnetic induction vector after the rotation of the conductor, we need to consider the given information.

1. The conductor is located in a uniform magnetic field perpendicular to the magnetic induction vector. 2. The current in the conductor is initially 0.2 A. 3. The current in the conductor is increased to 0.4 A. 4. The force acting on the conductor from the magnetic field remains unchanged after the rotation.

To find the angle, we can use the formula:

F = BILsinθ

Where: - F is the force acting on the conductor, - B is the magnetic induction vector, - I is the current in the conductor, and - θ is the angle between the conductor and the magnetic induction vector.

Since the force remains unchanged after the rotation, we can equate the forces before and after the rotation:

BIL1sinθ1 = BIL2sinθ2

Where: - L1 and L2 are the lengths of the conductor before and after the rotation, respectively.

Since the lengths of the conductor are not given, we can assume that they remain the same before and after the rotation. Therefore, L1 = L2.

Simplifying the equation, we have:

I1sinθ1 = I2sinθ2

Substituting the given values: - I1 = 0.2 A (initial current) - I2 = 0.4 A (current after increase)

We can solve for the angle θ2:

0.2sinθ1 = 0.4sinθ2

Dividing both sides by 0.2:

sinθ1 = 2sinθ2

Taking the arcsin of both sides:

θ1 = arcsin(2sinθ2)

Now, we need to find the value of θ2. Unfortunately, the exact values of θ1 and θ2 cannot be determined without additional information. The given question does not provide any specific values or measurements for the conductor or the magnetic field.

Therefore, without additional information, we cannot calculate the exact angle between the conductor and the magnetic induction vector after the rotation.