Question

На прямолинейный проводник, расположенный в однородном магнитном поле с индукцией B=4 Тл под углом α=30 к полю, действует сила F=0,8 Н при пропускании по нему тока I=2 А. Чему равна длина проводника L? Ответ выразить в см, округлив до целых.

Answer 1

Calculation of the Length of the Conductor

To calculate the length of the conductor, we can use the formula for the force acting on a current-carrying conductor in a magnetic field:

F = BILsin(α)

Where: - F is the force acting on the conductor (given as 0.8 N) - B is the magnetic field induction (given as 4 T) - I is the current flowing through the conductor (given as 2 A) - L is the length of the conductor (to be determined) - α is the angle between the conductor and the magnetic field (given as 30 degrees)

We can rearrange the formula to solve for L:

L = F / (BI * sin(α))

Substituting the given values into the formula, we get:

L = 0.8 N / (4 T * 2 A * sin(30°))

Calculating the value:

L = 0.8 N / (8 T * sin(30°))

Using the trigonometric identity sin(30°) = 0.5, we can simplify the equation further:

L = 0.8 N / (8 T * 0.5) = 0.1 m = 10 cm

Therefore, the length of the conductor is 10 cm.