Having trouble on two problems- magnetism/inductance

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SUMMARY

This discussion focuses on solving two physics problems related to magnetism and inductance. The first problem involves calculating the magnitude of a magnetic field using Faraday's Law, where an emf of 16 mV is induced in a coil with a decreasing area at a rate of 0.12 m²/s. The second problem requires determining the radius of the path of a singly charged positive ion with a mass of 2.30 x 10-26 kg, accelerated through a potential difference of 260 V, in a magnetic field of 0.530 T. Key equations include V = -dφ/dt for the first problem and the Lorentz force equation combined with circular motion for the second.

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Grandmas
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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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