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Moving Charges And Magnetism

Question
CBSEENPH12037601

Magnetic field lines can be entirely confined within the core of a toroid, but not within a straight solenoid. Why? 

Solution
The magnetic field is given by B=μoN I 
where, I is the current flowing through the torroid or solenoid. 
In a torroid, the magnetic field due to individual wires cancel out everywhere except for the core. 
But, in a solenoid magnetic field lines due to individual wires cancel out longitudnally and add up horizontally. Hence, magnetic field lines exist even outside the core.