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A long straight wire is arranged along the symmetry axis of a toroidal coil of rectangular cross-section, whose dimensions are given in the figure. The number of turms on the coil is N, and permeability of the surrounding medium is unity. Fine the amplitude of the emf induced in this coil, if the current i=i_(m) cos omegat flows along the straight wire. |
Answer»  Flux through each loop `phi=int_(a)^(b) Bdx=int_(a)^(b)mu_(0)/2I/x hdx` `=mu_(0)/2Ih lnb/a` `e=-N(dphi)/(dt)=-ND/(dt)(mu_(0)/zhlnb/a)I` `=-(Nmu_(0)h)/2lnb/ad(dt)i_(m)cosomegat` `=(Nmu_(0)h)/2lnb/ai_(m)omegasinomegat` `=(Nmu_(0)homegai_(m))/2 ln b/a SINOMEGAT` `e_(0)=(Nmu_(0)homegai_(m))/2 ln b/a` |
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