Magnetic Field and induced current

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SUMMARY

The discussion centers on calculating the induced current and energy dissipation in a closed square wire loop with a side length of 4.0 cm and a resistance of 2.0 x 10-3 ohms, situated in a magnetic field of strength 0.7 T. When the magnetic field is switched off uniformly over 0.8 seconds, the induced electromotive force (EMF) can be calculated using Faraday's law of electromagnetic induction. The induced current can be determined using Ohm's law, and the energy dissipated during the change in the magnetic field can be calculated using the formulas provided.

PREREQUISITES
  • Understanding of Faraday's law of electromagnetic induction
  • Knowledge of Ohm's law
  • Familiarity with the concepts of magnetic flux and induced EMF
  • Basic skills in calculating energy dissipation in electrical circuits
NEXT STEPS
  • Calculate induced EMF using the formula Uinduced = -ΔΦmag/Δt
  • Determine the induced current using Iinduced = Uinduced/R
  • Compute the energy dissipated using W = Uinduced * Iinduced * t
  • Explore applications of electromagnetic induction in real-world scenarios
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Students and professionals in physics, electrical engineering, and anyone interested in understanding the principles of electromagnetic induction and its applications in circuits.

bchl85
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Can anyone help me to do this problem. Thanks in advance.

A closed wire loop in the form of a square of side 4.0cm is mounted with its plane horizontal. The loop has a resistance of 2.0*10^(-3) ohm. The loop is situated in the magnetic field of strength 0.7 T directed vertically downwards.
When the field is switched off, it decreases to 0 at a uniform rate in 0.8s
What is:
a) The current induced in the loop.?
b) The energy dissipated in the loop during the change in the magnetic field?
 
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What have you done so far? You have enough information to work out the EMF induced in the loop, so you can work out the current.
 
bchl85 said:
Can anyone help me to do this problem. Thanks in advance.

A closed wire loop in the form of a square of side 4.0cm is mounted with its plane horizontal. The loop has a resistance of 2.0*10^(-3) ohm. The loop is situated in the magnetic field of strength 0.7 T directed vertically downwards.
When the field is switched off, it decreases to 0 at a uniform rate in 0.8s
What is:
a) The current induced in the loop.?
b) The energy dissipated in the loop during the change in the magnetic field?

Here are some formulas that might help:
[tex]U_{induced}=-\frac{\Delta \Phi_{mag}}{\Delta t}[/tex]
[tex]\Phi_{mag}=:\vec{B}\cdot \vec{S}[/tex]
[tex]I_{induced}=\frac{U_{induced}}{R}[/tex]
[tex]W=U_{induced}I_{induced}t[/tex]

Daniel.

PS.The problem is very easy.Hopefully u'll solve it by yourself...
 

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