Question

В однорідному магнітному полі індукцією 400 мкТл на прямолінійний провідник довжиною 50 м зі струмом 55 мА діє сила Ампера. Визначити на яку відстань перемістився б провідник, якби магнітне поле виконало роботу 55 мДж.

Answer 1

Відповідь: 50 м

Пояснення:

Answer 2

To determine the distance the conductor has moved, we can use the formula for work done by a magnetic field on a current-carrying conductor:

Work (W) = Force (F) x Distance (d)

We are given the following information: - Magnetic induction (B) = 400 μT = 400 x 10^-6 T - Length of the conductor (l) = 50 m - Current (I) = 55 mA = 55 x 10^-3 A - Work done (W) = 55 mJ = 55 x 10^-3 J

To find the force (F), we can use the formula for the force on a current-carrying conductor in a magnetic field:

F = B x I x l

Substituting the given values, we can calculate the force:

F = (400 x 10^-6 T) x (55 x 10^-3 A) x (50 m) F = 0.022 N

Now, we can rearrange the formula for work to solve for distance:

d = W / F

Substituting the given values, we can calculate the distance:

d = (55 x 10^-3 J) / (0.022 N) d ≈ 2500 m

Therefore, the conductor would have moved approximately 2500 meters if the magnetic field had done 55 mJ of work on it.