Вопрос задан 16.11.2023 в 19:30. Предмет Физика. Спрашивает Шевцова Анастасия.

Линиям магнитной индукций В перпендикулярно расположен кольцо с радиусом R. При ыключения поля

какое количество а зарядов пройдет по кольцу. Сопротивления кольца r​
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Отвечает Менщикова Лера.

Ответ:

q=B*π*R²/r

Объяснение:

B, R, r   q=?

===

E=B*S/t

S=π*R²

I=q/t=E/r

q=B*π*R²/r

==========================

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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

Calculation of the Charge Passing through a Ring when the Magnetic Field is Switched Off

To calculate the amount of charge passing through a ring when the magnetic field is switched off, we need to consider the relationship between the magnetic field strength, the radius of the ring, and the resistance of the ring.

Let's denote the radius of the ring as R and the resistance of the ring as r.

The formula for the magnetic field strength B at a point on the perpendicular axis of a ring is given by:

B = μ₀ * I / (2 * R)

Where: - B is the magnetic field strength - μ₀ is the permeability of free space (a constant) - I is the current passing through the ring - R is the radius of the ring

When the magnetic field is switched off, the induced electromotive force (emf) in the ring will cause a current to flow. This current will gradually decrease due to the resistance of the ring.

The rate of change of current dI/dt is given by Ohm's law:

dI/dt = -V / r

Where: - dI/dt is the rate of change of current - V is the induced emf - r is the resistance of the ring

To find the amount of charge passing through the ring, we need to integrate the current over time:

Q = ∫ I dt

Integrating both sides of the equation, we get:

Q = -∫ (V / r) dt

Since the induced emf V is equal to the rate of change of magnetic flux through the ring, we can write:

V = -dΦ/dt

Substituting this into the equation, we have:

Q = ∫ (dΦ / r)

Integrating both sides of the equation, we get:

Q = Φ / r

Where: - Q is the amount of charge passing through the ring - Φ is the magnetic flux through the ring

Therefore, the amount of charge passing through the ring when the magnetic field is switched off is equal to the magnetic flux through the ring divided by the resistance of the ring.

Please note that the specific values for the magnetic flux and resistance are not provided in the question, so we cannot calculate the exact amount of charge passing through the ring without additional information.

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