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WubbaLubba Dubdub
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Homework Statement
Uniform magnetic field ##= Bt## exist in cylindrical region of radius ##R## is pointing into the plane of figure (as shown in figure). A frictionless groove of length ##L## is fixed symmetrically from the centre O at a distance of ##\frac{L}{2}## .A charged particle of mass m and charge q is at rest at end B at ##t =0##. Neglect gravity and assume the particle just fits in the groove. Velocity of the particle at the end A is
Homework Equations
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The Attempt at a Solution
Time varying magnetic field will generate an induced emf and hence an electric field. A component of this field will accelerate the particle. Now I have the potential as ##\pi r^2B## where ##r## is the distance from the origin. Now I am having difficulties calculating the electric field. What would be it's direction? Would it be in a concentric circle like induced current? If so, would differentiating w.r.t. r be correct?(since r would not change as potential changes).