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Find theinductance of a unitlength ofa cableconsistingof two thin-walledcoaxialmetalliccylindersif theradiusof theoutside cylinderis eta = 3.6 timesthat of the insideone. Thepermeabitityof a medium betweenthe cylinders is assumedto beequal to unity. |
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Answer» SOLUTION :Between the cables, where`a lt R lt b`, the magnetic field`vec(H)` satisfies `H_(varphi) 2PI r = 1` or `H_(varphi) = (I)/(2pi r)` So `B_(varphi) = (mu mu_(0) I)/(2pi r)` The associated flux per unit lengthis, `Phi = int_(r = a)^(r = b), (mu mu_(0) I)/(2pi r) xx 1 xx dr = (mu mu_(0) I)/(2pi)` In`(b)/(a)` Hence, the inductance per unit LENGTH `L_(1) = (Phi)/(I) = (mu mu_(0))/(2pi) In eta`, where `eta = (b)/(a)` We get `L_(1) = 0.26 (mu H)/(m)` |
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