Online inductance calculator helps to calculate the inductance of a circuit. Inductance is a resisting force due to the current flowing through the circuit. The formula to find out the inductance is,

L = $\frac{N^{2}\mu A}{l}$

where, **L**is the inductance,

**N**is the number of turns of the coil,

**$\mu$**is the permeability of the material,

**A**is the area of the coil,

**I**is the length of the coil.

**Step 1 :**Put down the given parameters from the question.

**Step 2 :**Substitute these values in the formula and find out the unknown,

L = $\frac{N^{2}\mu A}{l}$.

Solved problems of inductance are discussed below:

### Solved Examples

**Question 1:**A copper inductor coil has 400 turn and the core area is 0.5m

^{2}. The length and permeability of this coil are 80cm and 0.6 respectively, calculate its inductance.

**Solution:**

Given parameters are,

N = 400,

$\mu$ = 0.6,

A = 0.5m2,

l = 80cm = 0.8m.

Inductance of coil is,

L = $\frac{N^{2}\mu A}{l}$

L = $\frac{400^{2}\times0.6\times0.5}{0.8}$ = 600H

**Question 2:**Calculate the number of turns of a coil whose inductance is 1000H, the core area is 1m

^{2}, the length and permeability of this coil are 35cm and 0.4 respectively.

**Solution:**

Given parameters are,

L= 1000H,

$\mu$ = 0.4,

A = 1m

^{2},

l = 35cm = 0.35m.

Number of turns of a coil is,

L = $\frac{N^{2}\mu A}{l}$

$N^{2}$ = $\frac{Ll}{\mu A}$

$N^{2}$ = $\frac{1000\times0.35}{0.4\times1}$ = 875

N = $\sqrt{875}$ = 29.58 ≈ 30