It has been shown that an emf is induced in a conductor moving through a magnetic field and that the growth of current in a coil can induce an emf in another magnetically coupled coil. You can determine the self-inductance of a coil by the following expression The above expression is used when the magnitude of self-induced emf (e) in the coil and the rate of change of current (dI/dt) is known. If the interior of the solenoid is filled with a material of relative permeability μr, then the selfinductance This expression reminds us of mv 2 /2 for the (mechanical) kinetic energy of a particle of mass m and shows that L is analogous to m (i.e., L is electrical inertia and opposes both the growth and decay of current in a circuit). If / is the current flowing in the coil, the flux linked with the circuit is proportional to the current. In Impedance triangle, Base is R, Hypotenuse is Z, and Height is XL. Physical significance of self-inductance : The self-inductance is the electromagnetic inertia just like mass in mechanics. This type of induction is called self induction and the induced emf is called back emf. The unit of inductance is Henry (H). The units of self-inductance are henry (H). Similarly, work has to be done against the According to the Lenz’s law, the direction of induced emf is such that it opposes its cause i.e. For a series resistance and inductance circuit, the phase angle is always a negative value because the current will always lag the voltage. It may be noted that self-inductance does not prevent the change of current since extra energy is supplied by the battery to overcome this opposition. The coefficient of coupling between two coils is 0.45. It is also called the coefficient of self-induction. For a coil of N turns, the same magnetic flux is linked with all the turns. Putting the following values in the above equations as e = 1 V, and dI/dt = 1 A/s then the value of Inductance will be L = 1 H. It is also referred to as the coefficient of self-induction. maximum on making the circuit (i.e. so, E = – d/dt (Li) = – L (di/dt) … … … (2) current I. The self-inductance for coil 2 and the mutual inductance L 12 can also be computed using equation 1.96.A current I 2 is assumed to exist in coil 2 for the purposes of these inductance calculations. Calculate the value of self-inductance. We use cookies to ensure that we give you the best experience on our website. The value of the inductance will be high if the magnetic flux is stronger for the given value of current. We will take a solenoid having N turns, Let its length be ‘l’ and area of cross-section be ‘A’ where current I is flowing through it. Therefore, the magnetic flux per turn will be equal to B × area of each turn. Changing current in a coil induces an emf in itself and opposes the change in current. These self inductance of a circuit is defined as twice the work done against the induced e.m.f. Class XII (By Mr. Ashis Kumar Satapathy) Self inductance is defined as the induction of a voltage in a current-carrying wire when the current in the wire itself is changing.

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