Having trouble on two problems- magnetism/inductance

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The discussion centers on two physics problems involving magnetism and inductance. For the first problem, the user needs to apply Faraday's Law to determine the magnetic field strength based on the induced emf and the rate of area change of a coil. The second problem requires the use of the Lorentz force equation and the principles of circular motion to calculate the radius of the path of a charged ion in a magnetic field after being accelerated through a potential difference. Participants suggest starting with the relevant equations and provide hints for solving each problem. Clear guidance on applying these concepts is requested to facilitate understanding and problem-solving.
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Not to be lazy or anything, but I was having a lot of trouble on these two physics problems for homework and don't know where to start for either.

I think for 1 I use Faraday's Law and for 2 I usee F=BILsin Theta... not sure

1. A square, single-turn coil 0.23 m on a side is placed with its plane perpendicular to a constant magnetic field. An emf of 16 mV is induced in the winding when the area of the coil decreases at a rate of 0.12 m2/s. What is the magnitude of the magnetic field?
answer in T
2. A singly charged positive ion has a mass of 2.30 10-26 kg. After being accelerated through a potential difference of 260 V, the ion enters a magnetic field of 0.530 T, in a direction perpendicular to the field. Calculate the radius of the path of the ion in the field.
answer in cm

If possible post how to do it with answer, or explain where to start and i'll try and figure it out from there. Would be much help, thanks!
 
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For 1, use the relationship (Faraday's Law):

V = -\frac{d\phi}{dt}, where \phi = BA
Hint: You know that B is constant, but the change is in A.

For 2, you can use the Lorentz force equation in conjunction with the equation for circular motion (i.e):

F = qv \times B = m\frac{v^2}{r}
 
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