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Solved problems of inductive reactance is given below:

### Solved Examples

**Question 1: **An inductor of 2H is connected to a circuit at a frequency of 50Hz. Calculate the inductive reactance of this circuit?

** Solution: **

The given parameters are,

f = 50Hz and L = 2H

Inductive reactance formula is given as,

$X_{L}$ = 2$\pi$fL

$X_{L}$ = 2$\times$3.14$\times$50$\times$2 = 628Ω

**Question 2: **At what frequency does a 250mH inductor have 3.5kΩ of reactance?

** Solution: **

The given parameters are,

$X_{L}$ = 3.5kΩ = 3500Ω, f = ? and L = 250mH = 0.25H

Inductive reactance formula is given as,

$X_{L}$ = 2$\pi$ fL

So, f = $\frac{X_{L}}{2\pi L}$

f = $\frac{3500}{2\times3.14\times0.25}$ = 2229Hz

The given parameters are,

f = 50Hz and L = 2H

Inductive reactance formula is given as,

$X_{L}$ = 2$\pi$fL

$X_{L}$ = 2$\times$3.14$\times$50$\times$2 = 628Ω

The given parameters are,

$X_{L}$ = 3.5kΩ = 3500Ω, f = ? and L = 250mH = 0.25H

Inductive reactance formula is given as,

$X_{L}$ = 2$\pi$ fL

So, f = $\frac{X_{L}}{2\pi L}$

f = $\frac{3500}{2\times3.14\times0.25}$ = 2229Hz