1.

Half of an infinitely long straight current-carrying solenoid is filled with magnetic substance as shown in Fig. Draw the appoximater plots of magnetic induction `B`, strength `H` and magnetization `J` on the axis as functions of `x`.

Answer» We can obtain the form of the curves, required here, by quanlitative arguments.
From `oint vec(H).d. vec(l) = I`
we get `H(x gt gt o) = H(x lt lt o) = nl`
Then `B(x gt gt 0) = mu mu_(0) nI`
`B(x lt lt o) = mu_(0) nI`
Also, `B (x lt 0) = mu_(0) H (x lt o)`
`J(x lt 0) = 0`
`B` is continous at `x = 0`, `H` is not. These give the required curves as shwon in the anser sheet.


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