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

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SUMMARY

The discussion centers on the application of Faraday's Law in a magnet-coil system, specifically regarding the deflection of a pointer attached to a magnet when a switch in the circuit is closed. When the switch is closed, the circuit becomes complete, leading to a gradual increase in current through the coil due to the inductor's properties. Initially, there is no deflection of the pointer, but as the current rises, the magnetic flux changes, resulting in a deflection that eventually stabilizes as the system reaches a steady state. The key equations referenced include Faraday's Law (E = -d(magflux)/dt) and the magnetic flux equation (magnet flux = BAcos(theta)).

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Basic knowledge of inductors and their behavior in electrical circuits
  • Familiarity with magnetic flux concepts and calculations
  • Ability to interpret circuit diagrams and analyze electrical components
NEXT STEPS
  • Study the principles of electromagnetic induction in depth, focusing on Faraday's Law.
  • Learn about the behavior of inductors in DC circuits, particularly during switching events.
  • Explore the relationship between magnetic flux and current in coil systems.
  • Investigate practical applications of magnet-coil systems in real-world devices.
USEFUL FOR

This discussion is beneficial for physics students, electrical engineers, and anyone interested in the practical applications of electromagnetic principles in circuit design and analysis.

jackd
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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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When the switch is closed, the circuit is complete. You have interpreted it incorrectly.
 
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?
 

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