Electromagnetics-Magnetic Flux Problem

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In summary, four resistors (1kohm) in series form a closed circuit. The total magnetic flux linking the circuit increases at a rate of 0.5 Wb/s in the direction pointing out of the paper. Using Faraday's law, the induced current in the circuit can be calculated by taking the negative derivative of the magnetic flux with respect to time. The direction of the current will be in the direction of the increasing magnetic flux, and the magnitude of the current will be equal to 0.5 volts. Additionally, it is important to note that a weber (unit of magnetic flux) is equal to a tesla (unit of magnetic field) multiplied by meters squared.
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Four resistors (1kohm) in series form a closed circuit. The total magnetic flux linking the circuit increases at a rate of 0.5 Wb/s in the direction pointing out of the paper. Find the direction and magnitude of the induced current in the circuit

emf=-d(magnetic flux)/dt


I'm having trouble getting this problem started. Mainly because the rate of change of the Magnetic Field is given, rather than a equation. If i was given the equation, I could take a surface integral, etc. to find -d(magflux)/dt. However, I'm not sure what to do with the rate. Any hints on how to get this started would be grately appreciated.
 
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A 'weber' IS a unit of magnetic flux. A 'tesla' is a unit of magnetic field. A weber is a tesla*m^2. You are given the rate of magnetic flux change=d(magnetic flux)/dt. It's 0.5 Wb/sec. And you have already written the equation you need. It's Faraday's law. And a Wb/sec is a volt.
 
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FAQ: Electromagnetics-Magnetic Flux Problem

1. What is magnetic flux and how is it measured?

Magnetic flux is a measure of the total amount of magnetic field passing through a surface. It is measured in units of webers (Wb) or tesla square meters (Tm^2). The formula for magnetic flux is Φ = B x A, where B is the magnetic field and A is the area of the surface.

2. What is Faraday's law of electromagnetic induction?

Faraday's law of electromagnetic induction states that a changing magnetic field will induce an electric current in a conducting material. This law is important in understanding the generation of electricity in power plants and the functioning of electric motors.

3. How does magnetic flux affect the behavior of materials?

Magnetic flux can have various effects on different materials. In ferromagnetic materials, such as iron, magnetic flux can cause the material to become magnetized. In conducting materials, magnetic flux can induce an electric current. In non-magnetic materials, such as wood or plastic, magnetic flux has little to no effect.

4. What is the difference between magnetic flux and magnetic field?

Magnetic flux and magnetic field are related but different concepts. Magnetic field is a measure of the strength of the magnetic force at a specific point in space, while magnetic flux is a measure of the total amount of magnetic field passing through a surface. In other words, magnetic field is a point measurement, while magnetic flux is a surface measurement.

5. How is magnetic flux used in practical applications?

Magnetic flux is used in a variety of practical applications. In power plants, it is used to generate electricity through the spinning of turbines. In electric motors, it is used to convert electrical energy into mechanical energy. Magnetic flux is also used in devices such as transformers and generators. In addition, magnetic flux is used in medical imaging techniques such as MRI scans.

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