Uniform Magnetic field in a circular coil

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A 138-turn circular coil with a diameter of 2.00 cm and a resistance of 53.0 Ω is subjected to a uniform magnetic field of 1.00 T, which is suddenly reversed. To solve for the total charge passing through the coil, the average current, and the average emf, one should first calculate the average change in magnetic flux over the reversal time of 0.100 s. The equations for a solenoid can be applied to the circular coil, allowing the use of magnetic flux calculations. The average emf can be derived from the change in flux, followed by using Ohm's law (V=IR) to find the average current, and finally applying the relationship I=dq/dt to determine the total charge. This approach effectively addresses the problem using established electromagnetic principles.
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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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