\[{{L}_{T}}=\frac{{{L}_{1}}\times {{L}_{2}}}{{{L}_{1}}+{{L}_{2}}}\]. { "@type": "ListItem", Definition: Mutual Inductance between the two coils is defined as the property of the coil due to which it opposes the change of current in the other coil, or you can say in the neighbouring coil. Relationship between self-inductance and Mutual Inductance, Coefficient of Coupling or Coupling Factor. The current, when passed in any of the coils wound around the magnetic core, produces flux which links all the coils together and also the one in which current is passed. same. "name": "Home" = Total Flux Linkage of coil 2 / Current in Coil 1, Now suppose same current I2 is flowing through coil 2 such that the flux produced by coil 2 is Ø (assuming cross-sectional area and length of both the coils are same). CONTENTS. Mutual Inductance is generally denoted by letter M and its SI unit is Henry. Where LM is the mutual inductance in henrys, k is the coefficient or percentage of coupling, and L1 and L2 are the inductances of the respective coils. One Henry value is equivalent to the induced one volt by changing of current in one ampere per second in an inductance value. Mutual inductance is defined as inductance of a circuit caused by mutual coupling with other circuit. [ It is usually denoted by letter k. The value of k is given as. Commentdocument.getElementById("comment").setAttribute( "id", "a1ef0cb9bf6596b2dd3199ffc38a0d6f" );document.getElementById("c3b3d85e0a").setAttribute( "id", "comment" ); Subscribe to our mailing list and get interesting stuff and updates to your email inbox. "item": "name": "Mutual Inductance: Definition & Formula" Notice that here again, inductors in parallel add like resistors in parallel. Therefore, as per, If magnetic flux Ø is linking with coil 2 then mutual inductance of coil 2 is given as, Now suppose battery and switch is connected to Coil 2 while keeping all other parameters like coil geometry, spacing etc. 1.MuTUAi,InductanceofTwoCoaxialCircles: Page. "item": Hence, there will be both self-induced emf and mutual induced emf in each of the coils. Consider coil 1 connected to battery and coil 2 is connected to the galvanometer. "itemListElement": } Your email address will not be published. For determining the Mutual Inductance between the two coils, the following expression is used. When coils are joined in series, the total inductance is: ${{L}_{T}}={{L}_{1}}+{{L}_{2}}+{{L}_{3}}+\cdots +{{L}_{N}}$.