A) \[\frac{{{W}_{2}}-{{W}_{1}}}{5Rnt}\]
B) \[-\frac{n({{W}_{2}}-{{W}_{1}})}{5Rt}\]
C) \[-\frac{({{W}_{2}}-{{W}_{1}})}{Rnt}\]
D) \[-\frac{n({{W}_{2}}-{{W}_{1}})}{Rt}\]
Correct Answer: B
Solution :
The rate of change of flux or emf induced in the coil is, \[e=-n\frac{d\phi }{dt}\] \[\therefore \]Induced current\[i=\frac{e}{R'}=-\frac{n}{R'}\frac{d\phi }{dt}\] Given,\[R'=R+4R=5R,d\phi ={{W}_{2}}-{{W}_{1}},dt=t.\] (here,\[{{W}_{1}}\]and\[{{W}_{2}}\]are flux associated with one turn) Putting the given values in Eq. (i), we get \[i=-\frac{n}{5R}\frac{({{W}_{2}}-{{W}_{1}})}{t}\]
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