Uniform Magnetic field in a circular coil

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SUMMARY

The discussion focuses on calculating the total charge, average current, and average electromotive force (emf) in a circular coil with 138 turns, a diameter of 2.00 cm, and a resistance of 53.0 Ω, subjected to a uniform magnetic field of 1.00 T that is suddenly reversed. To find the average emf, the average change in magnetic flux over the time period of 0.100 s is first determined. Using Ohm's Law (V=IR), the average current is calculated, followed by the total charge using the relationship I=dq/dt.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with Ohm's Law (V=IR)
  • Knowledge of magnetic flux calculations (Φ = B*A)
  • Basic concepts of circular coils and solenoids
NEXT STEPS
  • Calculate magnetic flux for circular coils using Φ = B*A
  • Learn about Faraday's Law of Electromagnetic Induction
  • Explore the relationship between current, charge, and time (I = dq/dt)
  • Investigate the properties of solenoids and their equations
USEFUL FOR

Physics students, electrical engineers, and anyone interested in understanding electromagnetic induction and its applications in circular coils and solenoids.

hitman0097
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A 138 turn circular coil has a diameter of 2.00 cm and resistance of 53.0 Ω. The plane of the coil is perpendicular to a uniform magnetic field of magnitude 1.00 T. The direction of the field is suddenly reversed.

a.) Find the total charge that passes through the coil.
b.) If the reversal takes 0.100 s, find the average current in the coil.
c.) Find the average emf in the coil.


I am using stuff for a solenoid is that the same as a circular coil?
l=lenght
n= # of turns per unit length
N=n*l total # of turns
A=π*r^2
Magnetic Flux=B*A (threw one turn)
B=mu_0*n*I (magnetic field inside solenoid)
Inductance=((N*(B*A))/I)=mu_0*n^2*A*l
E=IR

I don't know what to do. Any suggestions ?
 
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mu_0= 4pi*10^-7
 
The questions seem to be listed in the reverse of the sensible order. Indeed you can use the solenoid equations on the circular current loop(this is what a solenoid is). First find the average change in flux over the time period through the coil. That gives you that average EMF, then V=IR gives you the current. Since I= dq/dt you can find then find the total charge through the wire.
 
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