A) \[2.4\times {{10}^{-4}}H\]
B) \[0.4\times {{10}^{-5}}H\]
C) \[8\times {{10}^{-5}}H\]
D) \[2\times {{10}^{-5}}H\]
Correct Answer: C
Solution :
(c) \[8\times {{10}^{-5}}H\] flux linked, \[{{\phi }_{1}}={{\mu }_{0}}N_{1}^{2}l\left( \frac{A}{L} \right)\] ...(1) Mutual inductance, \[M={{\mu }_{0}}{{N}_{1}}{{N}_{2}}\left( \frac{A}{L} \right)\] [Assuming both coil have same A and L] ...(2) On dividing eq. (2) from eq. (1) \[\frac{M}{{{\phi }_{1}}}=\frac{{{N}_{2}}}{{{N}_{1}}l}\] \[\Rightarrow M=\frac{{{N}_{2}}\phi }{{{N}_{1}}l}=\frac{600}{300}\times \frac{1.2\times {{10}^{-4}}}{3}\] \[=8\times {{10}^{-5}}H\]You need to login to perform this action.
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