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    				| 1. | 
                                    Half of an infinitelylong straightcurrent-carryingsolenoid is filledwith magneticsubstanceas shown in Fig. Draw the appoximater plotsof magnetic inductionB, strengthHand magnetizationJ on theaxis as functions of x. | 
                            
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Answer» Solution :We canobtainthe form of the curves, requiredhere,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 requiredcurvesas shwon in the anser sheet.  | 
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