A) 50% flux of \[{{L}_{1}}\] is linked with \[{{L}_{2}}\]
B) 100% flux of \[{{L}_{1}}\] is linked with \[{{L}_{2}}\]
C) \[\sqrt{{{L}_{1}}}\] time of flux \[{{L}_{1}}\] is linked with \[{{L}_{2}}\]
D) None of above
Correct Answer: B
Solution :
Two coils are said to be magnetically coupled, if full or a part of the flux produced by one links with the other. Let \[{{L}_{1}}\]and \[{{L}_{2}}\] be the self-inductances of the coils and M be their mutual inductances, then \[k=\frac{M}{\sqrt{{{L}_{1}}{{L}_{2}}}}\] When 100% flux produced by one coil links with the other, then mutual inductance between the two is maximum and is given by \[M=\sqrt{{{L}_{1}}{{L}_{2}}}\] In that case, \[k=1\](unity) Note: When there is no common flux between the two coils, they are said to be magnetically isolated. In this case, k= C and M = 0. In practice k lies between 0 and 1.
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