Induced Current in a Circuit by a Moving Magnet

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SUMMARY

The discussion focuses on calculating the power supplied to a zero-resistance slide wire and the induced current when a magnet moves through it. The power supplied by the pushing force is calculated using the formula P = F * v, resulting in 3.13 x 10^-4 watts. The induced current is determined using the formula I = vBL/R, where v is the velocity (0.50 m/s), B is the magnetic field strength (0.50 T), L is the length of the wire (0.10 m), and R is the resistance (2.0 ohms). This leads to a clear method for calculating both power and induced current in electromagnetic scenarios.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with Ohm's Law (I = V/R)
  • Knowledge of basic physics formulas related to motion and electromotive force (EMF)
  • Experience with calculating power in electrical circuits
NEXT STEPS
  • Learn about Faraday's Law of Electromagnetic Induction
  • Study the concept of motional EMF in detail
  • Explore advanced applications of Ohm's Law in circuit analysis
  • Investigate the effects of varying magnetic field strengths on induced current
USEFUL FOR

Physics students, electrical engineers, and anyone interested in understanding the principles of electromagnetic induction and its applications in circuits.

samee
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A 10-cm-wide, zero-resistance slide wire is pushed toward a 2.0 ohm resistor at a steady speed of 0.50 m/s. The magnetic field strength is 0.50 T. How much power does the pushing force, 6.25*10^-4 supply to the wire? What is the magnitude of the induced current?

I got 3.13*10^-4 for the first part, which is probably correct because it's a simple formula. Just the pushing force times the velocity. However, I cannot figure out how to determine the second part of the question.

I=V/R

While R is given, V is not because it's an induced current. I'm so confused. Help please?
 
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Motional EMF produced across the slide wire is given by E = vBL and the induced current I = E/R = vBL/R
 

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