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The main difference between solenoid  and toroid is that the solenoid is considered as the straight coil and the toroid is the bent solenoid which is having ring or doughnut shape.In toroid due to the ring shape the magnetic field is much stronger than solenoid at its center.
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A solenoid is Straight shaped & a torroid is spherical or bent in shape ,
See the attachment , In a torroid B will be more & in solenoid less B (at centre) in both