A coil of wire is connected to an uncharged capacitor in a magnetic field

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a coil of wire is connected to an uncharged capacitor in a magnetic field...

Homework Statement


A 10-turn coil of wire having a diameter of 1.0 cm and a resistance of 0.20 ohms is in a 1.0 mT magnetic field
with the coil oriented for maximum flux. The coil is connected to an uncharged 1.0 microFarad capacitor rather than to a current meter. The coil is quickly pulled out of the magnetic field. Afterward, what is the voltage across the capacitor?
Hint: Use I=dq/dt to relate the net change of flux to the amount of charge that flows to the capacitor.


Homework Equations


potential difference = -L dI/dt, where L is the inductance
magnetic field, B = Uo NI/l
total magnetic flux = N (magnetic field for each turn) = N (Area)(B) = (Uo N^2 A I) / l
I = V/R
induced emf = |change in magnetic flux/change in time|
V = Q/C

The Attempt at a Solution


Voltage across the capacitor initially is 0 V, since capacitor is uncharged.
I found the total flux to be 7.85 x 10^-7 Wb.
The changing flux induces an emf.

I'm really stuck here. Can someone please help me? Thanks :)
 
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ANON said:

Homework Statement


A 10-turn coil of wire having a diameter of 1.0 cm and a resistance of 0.20 ohms is in a 1.0 mT magnetic field
with the coil oriented for maximum flux. The coil is connected to an uncharged 1.0 microFarad capacitor rather than to a current meter. The coil is quickly pulled out of the magnetic field. Afterward, what is the voltage across the capacitor?
Hint: Use I=dq/dt to relate the net change of flux to the amount of charge that flows to the capacitor.

Homework Equations


potential difference = -L dI/dt, where L is the inductance
magnetic field, B = Uo NI/l
total magnetic flux = N (magnetic field for each turn) = N (Area)(B) = (Uo N^2 A I) / l
I = V/R
induced emf = |change in magnetic flux/change in time|
V = Q/C

The Attempt at a Solution


Voltage across the capacitor initially is 0 V, since capacitor is uncharged.
I found the total flux to be 7.85 x 10^-7 Wb.
The changing flux induces an emf.

I'm really stuck here. Can someone please help me? Thanks :)
no time is given? if you're given a time then you have \frac{d\phi _B}{dt} and a voltage
 
No time is given.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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