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Neha98
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When does the rate of change of magnetic flux in linkage with a coil rotating in a uniform magnetic field equal zero?
When Does the Rate of Change of Magnetic Flux Equal Zero?
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SUMMARY
The rate of change of magnetic flux in a coil rotating in a uniform magnetic field equals zero when the angle θ between the magnetic field and the perpendicular to the coil's area is at specific positions during its rotation. The magnetic flux Φ is defined by the equation Φ = A B N cos(θ), where A is the area, B is the magnetic field strength, N is the number of turns, and θ varies with time as θ = ωt, with ω being the angular speed. By differentiating the flux equation with respect to time, dΦ/dt, one can determine the conditions under which this rate equals zero.
PREREQUISITES- Understanding of electromagnetic theory
- Familiarity with calculus, specifically differentiation
- Knowledge of magnetic fields and their properties
- Basic concepts of rotational motion and angular speed
- Study the principles of Faraday's Law of Electromagnetic Induction
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- Explore the relationship between angular velocity and magnetic flux
- Investigate practical applications of magnetic flux in electrical engineering
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- #2
BvU
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Hello Neha, 
PF rules want you to show a bit more: equations, and an attempt at solution. To get started:
In general you have something like ##\Phi = A B N \cos(\theta) =A B N \cos(\omega t) ## with ##\Phi## the flux, A area, B magnetic field, N number of turns and the angle ##\theta## between the perpendicular to the area and the magnetic field ##\vec B## varies with time as ##\omega t##. ##\omega## is the angular speed.
The rate of change is ##{d\Phi\over dt}## and I expect you can do the differentiation and find when it gives zero ?
PF rules want you to show a bit more: equations, and an attempt at solution. To get started:
In general you have something like ##\Phi = A B N \cos(\theta) =A B N \cos(\omega t) ## with ##\Phi## the flux, A area, B magnetic field, N number of turns and the angle ##\theta## between the perpendicular to the area and the magnetic field ##\vec B## varies with time as ##\omega t##. ##\omega## is the angular speed.
The rate of change is ##{d\Phi\over dt}## and I expect you can do the differentiation and find when it gives zero ?
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