In a uniform magnetic field with induction B=0.35 T

In a uniform magnetic field with induction B=0.35 T, a frame containing N=500 turns with an area S=50 cm^2 rotates uniformly with a frequency n=480 min^-1. The axis of rotation lies in the plane of the frame and is perpendicular to the induction lines. It is necessary to find the maximum DS of induction that occurs in the frame.

Solution to the problem: First, let's determine the magnetic flux that penetrates one turn of the frame. It is known that the magnetic flux is equal to the product of magnetic induction and the area covered by the coil contour: Φ = BS where Φ is the magnetic flux, B is the magnetic induction, S is the area of ​​the coil contour.

Since there are N turns in the frame, the magnetic flux of the frame will be equal to: Φ = NBA where A is the surface area of ​​the frame covered by the magnetic field.

Taking into account the fact that the frame rotates at a speed of ω = 2πn, where n is the rotation frequency, the magnetic flux passing through the frame changes with time. As a result, ?DS of induction appears in the frame: ε = -dΦ/dt where ε is ?DS of induction, dΦ/dt is the change in magnetic flux over time.

The change in magnetic flux is associated with a change in the angle of rotation of the frame. Since the frame rotates uniformly, the angle of rotation can be expressed in terms of time t: φ = ωt

Then the change in magnetic flux is equal to: dΦ/dt = d(NBA)/dt = NBA(dφ/dt) dΦ/dt = NBAω

Consequently, ?DS of induction in the frame will be equal to: ε = -NBAω

The maximum DC induction occurs at the moment in time when the magnetic flux passing through the frame changes the fastest. This occurs at the moment in time when the frame is at a maximum angle to the magnetic field induction lines. At this moment, the angular velocity of the frame reaches its maximum value: ωmax = B

Then the maximum DC induction is equal to: εmax = NBAωmax = NBA B

Substituting the known values, we get: εmax = 500 * 0.35 * 0.5 * 3.14 * 480 / 60 = 183.4 V

Answer: the maximum DC induction occurring in the frame is 183.4 V.

Product description

We are pleased to introduce you to a digital product that will help you learn physics. This product contains materials on the topic "electromagnetism", including problems and solutions.

Product characteristics:

• Title: ?electromagnetism
• Subject: Physics
• Magnetic field induction: B=0.35 Tesla
• Description: This digital product contains materials on the topic "electromagnetism", including problems and solutions. It is intended for anyone who is interested in physics and wants to deepen their knowledge in this field.

Studying electromagnetism will help you understand how various devices that use electromagnetic phenomena work, such as electric motors, generators, transformers, and others. This knowledge can also be useful for professional activities related to electrical engineering and electronics.

By purchasing this digital product, you gain access to unique materials on the topic "electromagnetism" that will help you expand your knowledge and skills in the field of physics.

We present to you a digital product containing materials on the topic "electromagnetism", including the problem and its solution. The problem considers the rotation of a frame with turns in a uniform magnetic field with induction B = 0.35 T and determines the maximum DS of induction that occurs in the frame. This product is intended for anyone who is interested in physics and wants to deepen their knowledge in this area. The study of electromagnetism will help you understand how various devices that use electromagnetic phenomena work, such as electric motors, generators, transformers and others. This product contains a detailed solution to the problem with a brief record of the conditions, formulas and laws used in the solution, the derivation of the calculation formula and the answer. If you have any questions about the solution, you can contact us for help.

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Product description:

For sale is a frame containing 500 turns with an area of ​​50 cm^2, which rotates uniformly with a frequency of 480 min^-1 in a uniform magnetic field with induction B = 0.35 Tesla. The axis of rotation lies in the plane of the frame and is perpendicular to the induction lines. The frame creates the maximum variable magnetic induction that can be used to generate electrical energy.

To determine the maximum DS of induction occurring in the frame, it is necessary to use the formula for ΔDS of induction:

E = -N * S * B * w

where E is the induction current, N is the number of turns in the frame, S is the area of ​​one turn, B is the magnetic field induction, w is the angular velocity of rotation of the frame in rad/s.

Substituting the known values, we get:

E = -500 * 0.005 * 0.35 * 2π * 480 / 60

E = -33.02 V

Thus, the maximum DC induction occurring in the frame is 33.02 V.

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