Explaining Faraday's Law: Why ε=2∅/Δt?

Thread starter HelpMeh
Start date Apr 19, 2012
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Faradays law Law

In summary, Faraday's Law is a fundamental principle in physics that describes the relationship between a changing magnetic field and an induced electric field. It is expressed as ε = -N * (ΔΦ/Δt) or ε = 2∅/Δt and is the basis for electromagnetic induction. This law has many practical applications, including generators, transformers, and electric motors, as well as in devices such as MRI machines and renewable energy sources like wind turbines and hydroelectric dams.

Apr 19, 2012

HelpMeh

Hi

Could someone explain why

ε=Δ∅/Δt

becomes 2∅/Δt?? i don't see how the change in magnetic flux is 2∅.

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Apr 19, 2012

BruceW

Homework Helper

the plane of the coil is flipped so that the normal to the plane becomes opposite. Therefore the flux is negative of what it was before, so the total change in flux is twice the absolute value of flux through the coil.

Related to Explaining Faraday's Law: Why ε=2∅/Δt?

1. What is Faraday's Law?

Faraday's Law is a fundamental principle in physics that explains the relationship between a changing magnetic field and an induced electric field. It states that the induced electromotive force (EMF) in a closed loop is directly proportional to the rate of change of the magnetic flux through that loop.

2. How is Faraday's Law expressed mathematically?

Faraday's Law is expressed as ε = -N * (ΔΦ/Δt), where ε is the induced EMF, N is the number of turns in the loop, and ΔΦ/Δt is the rate of change of the magnetic flux through the loop.

3. What does the equation ε = 2∅/Δt mean?

The equation ε = 2∅/Δt is an alternate way of expressing Faraday's Law, where ∅ is the magnetic flux through the loop. This equation states that the induced EMF is equal to twice the rate of change of the magnetic flux through the loop.

4. How does Faraday's Law relate to electromagnetic induction?

Faraday's Law is the basis for electromagnetic induction, which is the process of generating an electric current by moving a conductor through a magnetic field or by changing the magnetic field around a conductor. It explains the mechanism by which a changing magnetic field can induce an electric field and vice versa.

5. What are some real-world applications of Faraday's Law?

Faraday's Law has many practical applications, including generators, transformers, and electric motors. It is also used in devices such as magnetic resonance imaging (MRI) machines, induction cooktops, and power plants. Additionally, it is the underlying principle behind many renewable energy sources, such as wind turbines and hydroelectric dams.