Application of Faraday's Law

In summary, the problem involves calculating the induced current through resistors R and C in a constant magnetic field directed into the plane of the board. The relevant equations are the induced EMF equation, the equation for induced current, and Lenz Law. The problem also involves considering the velocity of a sliding conductor. More effort is needed from the person asking the question in order to receive assistance.
  • #1
aznmaverick
12
0

Homework Statement


Given a constant magnetic field, B, into the plane of the board, how much induced current flows through R and C.


Homework Equations


Induced EMF =-d/dt (Fluxb)
Iind= Induced EMF/R
V= dx/dt = constant (velocity of sliding conductor)
Lenz Law

The Attempt at a Solution

 

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  • #2
aznmaverick said:

Homework Statement


Given a constant magnetic field, B, into the plane of the board, how much induced current flows through R and C.


Homework Equations


Induced EMF =-d/dt (Fluxb)
Iind= Induced EMF/R
V= dx/dt = constant (velocity of sliding conductor)
Lenz Law

The Attempt at a Solution

We're not here to do the problem for you. Put some effort into it, and let us know what you've done and exactly where you're stuck.
 

What is Faraday's Law?

Faraday's Law, also known as the law of electromagnetic induction, states that the magnitude of the induced electromotive force (EMF) in a closed circuit is directly proportional to the rate of change of the magnetic flux through the circuit. In simpler terms, it explains how a changing magnetic field can produce an electrical current.

How is Faraday's Law applied in everyday life?

Faraday's Law has numerous practical applications in our daily lives. Some common examples include generators, electric motors, transformers, and induction cooktops. It is also used in technologies such as magnetic resonance imaging (MRI) and wireless charging.

What is the relationship between Faraday's Law and Lenz's Law?

Lenz's Law is a corollary of Faraday's Law. It states that the direction of the induced current in a closed circuit will always oppose the change in magnetic flux that caused it. In other words, the induced current will always flow in a direction that creates a magnetic field that opposes the original change in the external magnetic field.

How is Faraday's Law used in power generation?

Faraday's Law is the fundamental principle behind power generation. It is used to produce electricity in power plants by rotating a coil of wire in a magnetic field. The changing magnetic field induces an electric current in the wire, which can then be harnessed and transmitted to power our homes and businesses.

What are some limitations of Faraday's Law?

While Faraday's Law is a fundamental principle in electromagnetism, it has some limitations. One limitation is that it only applies to closed circuits, meaning that the induced current must have a complete path to flow. Additionally, it does not take into account the resistance of the circuit, which can affect the magnitude of the induced current.

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