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The explanation is not clear to me. How the graph line at rA and rB got straight?
This g mentioned in the equation provided in the solution is the value of acceleration due to gravity at poles. the value of g at equator is Rw^2 less than g.
A time varying magnetic field produces an induced electric field.
rnE.* (2 pi r ) = (pi*a*a) dB/dt
rnE =( a*a /2r)(dB/dt)
rnso, E decreases as 1/r