1.

Using Ampere's circutial law, obtain the expression for the magnetic field due to a long solenoid a point inside the solenoid on its axis.

Answer»

SOLUTION :
`oint vec(B)*vec(DL)= mu_(0)Sigmai`
`int_(a)^(b) vec(B)*vec(dl)+int_(b)^(c)vec(B)*vec(dl)+ int_(c)^(d)vec(B)*vec(dl)+int_(d)^(a)vec(B)*vec(dl)=mu_(0)I(NH)`
`Bh + 0 + 0 + 0 = mu_(0) I (nh)`
`B= mu_(0)N I`


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