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Two coils of self-inductance `2mH` and `8 mH` are placed so close together that the effective flux in one coil is completely linked with the other. The mutual inductance between these coil isA. `10mH`B. `6mH`C. `4mH`D. `16mH` |
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Answer» Correct Answer - C When the total flux associated with one coil links with the other, i.e., a case of maximum flux linkage, then `M_(12)=(N_(2)phi_(B)_(2))/(i_(1))` and `M_(21)=(N_(1)phi_(B)_(1))/(i_(2))` similarly, `L_(1)N_(1)phi_(B)_(1))/(i_(1))` and `L _(2)=(N_(2)phiB_(2))/(i_(2))` if all the flux of coil `2` links coil `1` and vice versa, then `phi_(B)_(2)=phi_(B)^(1)` Since, `M_(12)=M_(21)=M`, hence we have `m_(12)M_(12)=M^(2)=(N_(1)N_(2)phi_(B)_(1)phi_(B)_(2))/(i_(1)i_(2)) =l_(1)L_(2)` `M_(max)=sqrt(L_(1)L_(2))` Given, `L_(1)=2mH,L_(2)=8mH` `M_(max)=sqrt(2xx8)=sqrt(16)=4mH` |
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