Applications of Faraday's Law: Deflection of Pointer in a Magnet-Coil System

In summary, when the switch on the power supply is closed, meaning the circuit is complete, there will be no deflection of the pointer. After some time has passed, the inductor current, resistor current and resistor voltage will rise from zero, causing the inductor emf to eventually reach zero. This steady state will result in the pointer going horizontal.
  • #1
jackd
3
0

Homework Statement


A magnet is suspended so that it is free to swing above a coil that is connected to a power supply. A pointer has been attached to the magnet so that a small swing of the magnet will result in a large deflection of the pointer. When there is no current through the coil, the magnet is horizontal and the pointer is vertical.

What is the deflection of the pointer (if any) when the switch on the power supply is closed?

What happens to the pivot as the current through the coil is varied?


Homework Equations


Faraday's law = E = -d(magflux)/dt
magnet flux = BAcos(theta)


The Attempt at a Solution


When the switch on the power supply is closed, this means that there is no current. This means that there will be no deflection of the pointer.

Is this correct? What does it mean by the switch is closed?
 
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  • #2
When the switch is closed, the circuit is complete. You have interpreted it incorrectly.
 
  • #3
okay, thanks!

so if the switch is closed, this means that the circuit is complete. right after the switched is closed, no current should flow but the rate of change shouldn't be zero (this is because inductor current can't change instantaneously).

but after some time has passed, the inductor current, resistor current and resistor voltage will rise from zero. because the power supply emf should be constant, the magnitude of the inductor emf should drop... eventually the whole circuit should reach a steady state (the rate of change approaches zero) & the inductor emf should be zero...

is this right? how does this affect the pointer in this device? should the pointer go horizontal?
 

1. What is Faraday's Law?

Faraday's Law is a fundamental principle in electromagnetism, discovered by Michael Faraday in the 19th century. It states that the induced electromotive force in a closed circuit is directly proportional to the rate of change of the magnetic flux through the circuit.

2. What are the applications of Faraday's Law?

Faraday's Law has numerous practical applications, including generators, transformers, motors, and other electrical devices. It is also used in technologies such as magnetic resonance imaging (MRI) and induction heating.

3. How does Faraday's Law relate to electric power generation?

Faraday's Law is the basis for electric power generation. When a conductor is moved through a magnetic field, it creates a changing magnetic flux, which induces an electromotive force (EMF) in the conductor. This EMF can then be used to generate electricity.

4. Can Faraday's Law be used to explain electromagnetic induction?

Yes, Faraday's Law is the cornerstone of electromagnetic induction. It explains how a changing magnetic field can induce an electric current in a conductor, and vice versa. This phenomenon is crucial in many electrical and electronic devices.

5. Are there any limitations to Faraday's Law?

While Faraday's Law is a fundamental principle in electromagnetism, it does have its limitations. It only applies to situations where the magnetic flux through a closed circuit is changing, and it does not take into account the resistance of the circuit or other factors such as eddy currents.

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