A current of 50 A flows through a straight wire. In the plane

A current of 50 A flows through a conductor, which creates a magnetic field around it. Next to the conductor there is a rectangular frame, the long sides of which are parallel to the conductor. The cross-sectional area of ​​the frame is 0.5 cm^2, and the distance from the center of the frame to the conductor is 1 meter. It is necessary to determine the magnetic flux that penetrates the frame.

To solve the problem, we will use the Biot-Savart-Laplace law, which allows us to calculate the magnetic field created by a current at a certain point in space. The formula for calculating magnetic induction at a point located at a distance r from the conductor is:

B = (μ0 * I)/(2πr)

where B is the magnetic induction, μ0 is the magnetic constant, I is the current strength, r is the distance from the conductor to the point at which the magnetic induction is calculated.

To calculate the magnetic flux passing through the frame, it is necessary to calculate the magnetic induction at each point of the frame and integrate this value over the entire surface of the frame.

Since the long sides of the frame are parallel to the conductor, the magnetic induction will have the same value at all points of the frame located at the same distance from the conductor. Therefore, it is enough to calculate the magnetic induction at only one point of the frame.

Let's calculate the distance between the conductor and the center of the frame:

d = 1 m

Let's calculate the magnetic induction at a point located at a distance d from the conductor:

B = (μ0 * I)/(2πd) = (4π * 10^-7 * 50)/(2π * 1) = 10^-5 Тл

Thus, the magnetic induction at a point located at a distance of 1 m from the conductor is equal to 10^-5 T.

Let's calculate the magnetic flux passing through the frame:

Φ = B * S = 10^-5 * 0.5 * 10^-4 = 5 * 10^-10 Вб

Answer: the magnetic flux passing through the frame is 5 * 10^-10 Wb.

A current of 50 A flows through a straight wire. In the plane

Welcome to our digital goods store! We present to your attention a unique product - digital material containing a description of a problem on the topic of electricity and magnetism.

In this product you will find a detailed description of the problem, which involves calculating the magnetic flux passing through a rectangular frame located next to a conductor carrying a current of 50 A. The solution to the problem is presented on the basis of the Biot-Savart-Laplace law.

This digital product is an ideal choice for students studying electricity and magnetism, as well as for teachers and research teachers who are interested in applying this problem for educational purposes.

Buy our digital product today and gain access to quality material that will help you deepen your knowledge of electricity and magnetism.

Welcome to our digital goods store! We present to your attention a unique product - digital material containing a detailed solution to a problem on the topic of electricity and magnetism.

In this product you will find a brief description of the problem conditions, as well as a detailed solution based on the Biot-Savart-Laplace law. The solution includes the derivation of the calculation formula, the laws and formulas used, and the answer to the problem.

So, a current of 50 A flows through a straight wire. In the plane of the conductor there is a rectangular frame, the long sides of which are parallel to the conductor. The cross-sectional area of ​​the frame is 0.5 cm^2, the distance from the center to the conductor is 1 m. It is necessary to determine the magnetic flux passing through the frame.

To solve the problem, we will use the Biot-Savart-Laplace law, which allows us to calculate the magnetic field created by a current at a certain point in space. The formula for calculating magnetic induction at a point located at a distance r from the conductor is:

B = (μ0 * I)/(2πr)

where B is the magnetic induction, μ0 is the magnetic constant, I is the current strength, r is the distance from the conductor to the point at which the magnetic induction is calculated.

Since the long sides of the frame are parallel to the conductor, the magnetic induction will have the same value at all points of the frame located at the same distance from the conductor. Therefore, it is enough to calculate the magnetic induction at only one point of the frame.

Let's calculate the distance between the conductor and the center of the frame: d = 1 m

Let's calculate the magnetic induction at a point located at a distance d from the conductor: B = (μ0 * I)/(2πd) = (4π * 10^-7 * 50)/(2π * 1) = 10^-5 T

Thus, the magnetic induction at a point located at a distance of 1 m from the conductor is equal to 10^-5 T.

Let's calculate the magnetic flux passing through the frame: Φ = B * S = 10^-5 * 0.5 * 10^-4 = 5 * 10^-10 Wb

Answer: the magnetic flux passing through the frame is 5 * 10^-10 Wb.

Our digital product is an ideal choice for students studying electricity and magnetism, as well as for teachers and research teachers who are interested in applying this problem for educational purposes. Purchase our digital product today and gain access to quality material that will help you deepen your knowledge of electricity and magnetism!

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This product is a task from the field of electromagnetism.

We have a wire carrying a current of 50 A and a rectangular frame located in the plane of the conductor and having a cross-sectional area of ​​0.5 cm^2. The distance from the center of the frame to the conductor is 1 meter.

It is required to determine the magnetic flux passing through the frame.

To solve this problem, it is necessary to use the Biot-Savart-Laplace law, which allows you to find the magnetic field at any point in space created by the current in the conductor.

The calculated formula for the magnetic field at a distance r from the conductor through which current I flows can be written as follows:

B = (μ₀ / 4π) * I / r

where μ₀ is a magnetic constant equal to 4π * 10^-7 Wb/A*m.

To determine the magnetic flux Ф penetrating a rectangular frame, it is necessary to take into account that the magnetic flux through the surface of the frame is equal to the integral of the magnetic field over the area of ​​the frame:

Ф = ∫∫ B * dS

where dS is the frame surface element directed perpendicular to the magnetic field.

Thus, to solve this problem, it is necessary to find the magnetic field at the point where the frame is located and integrate it over the area of ​​the frame.

A detailed solution to this problem is beyond the scope of a chat answer. If you have any additional questions about the solution, please write and I will try to help.

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