Consider two coils C1 and C2 placed as shown. By varying current i1 in coil C1, we modify the flux not only through C1 but also through coil C2. The change in flux f2 through C2 (due to change in current i1) induces an emf in the coil C2. This emf is called as mutually induced emf and the process is known as mutual induction. f2 µ i1 Þ f2 = M i1
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![631_Mutual Inductance.png](https://www.expertsmind.com/../CMSImages/631_Mutual Inductance.png)
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Where M is called as mutual inductance of the pair of coils. The coil C1 in which i varies is often called primary coil and the coil C2 in which the emf is induced is called secondary coil.
induced emf in coil C2 = E2
![1595_Mutual Inductance2.png](https://www.expertsmind.com/../CMSImages/1595_Mutual Inductance2.png)
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![400_Mutual Inductance1.png](https://www.expertsmind.com/../CMSImages/400_Mutual Inductance1.png)
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The mutual inductance is maximum when the coils arc wound up on the same axis. It is minimized when the axis of coils are perpendicular to each other.
Note down the given points related the mutual inductance:
1. The SI unit of mutual inductance is henry (1H).
2. M depends upon closeness of the two circuits, their sizes and orientations and the number of turns etc.
3. Reciprocity theorem: M21 = M12 = M
e2 = - M(di1/dt) and e1 = - M(di2/dt)
![1146_Mutual Inductance3.png](https://www.expertsmind.com/../CMSImages/1146_Mutual Inductance3.png)
4. A good approach for calculating the mutual inductance of two circuits consists of the following steps:
(a) Assume any one of the circuits as primary (first) and the other as secondary (second).
(b) Suppose a current i1 flows through the primary circuit.
(c) Compute the magnetic field produced by the current i1.
(d) Obtain the magnetic flux .
(e) With the flux known, the mutual inductance can be found from,![1810_Mutual Inductance4.png](https://www.expertsmind.com/CMSImages/1810_Mutual%20Inductance4.png)
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