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# Inductance Formula

Inductance is the property of a conductor by which a change in current flowing through it induces (creates) a voltage (electromotive force) in both the conductor itself (self-inductance) and in any nearby conductors (mutual inductance).  Inductance is defined as opposing of changes of current. The inductance value is represented as L and its unit is Henry. One Henry value is equal to the induced one volt by changing of current in one ampere per second in an inductance value. The inductance value is of two types. One is self inductance and another one is mutual inductance. Let us see the applications of inductance value.
The self inductance in an electrical circuit is
Where,
V is voltage in volts,
L is inductance value,
i is the current in A,
t is time taken

The reactance of inductance is given by
Where,
X is reactance in henry,
f is the frequency in Hz,
L is inductance in Henry

The total series inductance is
The parallel inductance is
Where, L1, L2, L3 ..... Ln are the inductance values.

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## Inductance Problems

Lets see some examples on inductance:

### Solved Examples

Question 1: Calculate the equivalent resistance if inductors of 5H, 2H and 7 H are connected in series ?
Solution:

Given: L1 = 5H, L2 = 2H, L3 = 7H
The series inductance is given by
L = L1 + L2 + L3
= 5H + 2H + 7H
= 14 H.

Question 2: A inductor of 50 H is connected in a circuit and a frequency of 200 Hz is applied. Calculate the reactance ?
Solution:

Given: Reactance x= ?, frequency f = 200 Hz, inductance L = 50 Henry
The reactance is given by
X = 2 $\pi$ f L
= 2 $\times$ $\pi$ 200 Hz $\times$ 50 H
= 4000 $\Omega$.

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