Question

Inductance of an inductor whose reactance is 120 Ω at 80.0 Hz is
(solution and answer)​

Answer 1

Answer:

0.238

Explanation:

reactance of inductor,

$X_{L}$ = ωL

120 = 2πf × L

120 = 2 × 3.14 × 80 × L

120 = 502.4 × L

L = 0.2388535031847134

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                                              ---    nikhil_vannoj

Answer 2

Answer:

The inductance of an inductor is 0.238 H.

Explanation:

First, let's see the relationship between inductance and reactance of an inductor:

$\mathrm{X_{L}=2\pi Lf}$                 (1)

Where,

$\mathrm{X_L}$=reactance of an inductor

L=inductance of an inductor

f= the required frequency

From the question we have,

The reactance of an inductor=120Ω

The required frequency=80 Hz

By placing the value of "$\mathrm{X_L}$" and "f" in equation (1) we get;

$\mathrm{120=2\pi \times L\times 80}$

$\mathrm{L=\frac{120}{2\pi\times 80} }$

$\mathrm{L=0.238\ H}$

So, the inductance of an inductor is 0.238 H.

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