An object with mass 'm' is moving in a circle of radius 'R' at a constant speed of 'v.' The acceleration of the object will INCR
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Detailed solution given in diagram
To solve this problem it is necessary to apply the concepts related to Faraday's law and the induced emf.
By definition the induced electromotive force is defined as
Where,
Electric field
B = Magnetic Field
A = Area
At the theory the magnetic field is defined as,
Where,
N = Number of loops
I = current
Permeability constant
We know also that the cross sectional area, is the area from a circle, and the length is equal to the perimeter then
A = \pi r^2
l = 2\pi r
Replacing at the previous equation we have that
Where,
R = Radius of the solenoid
r = The distance from the axis
Re-arrange to find the current in function of time,
Replacing our values we have