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Olenka [21]
3 years ago
10

A non-inductive load takes a current of 15A at 125V. An inductor is then connected in series in order that the same current shal

l be supplied from 240V, 50Hz mains. Ignore the resistance of the inductor and calculate the inductance of the inductor
Engineering
1 answer:
Norma-Jean [14]3 years ago
4 0

Answer:

The inductance of the inductor is 0.051H

Explanation:

From Ohm's law;

  V = IR .................. 1

The inductor has its internal resistance referred to as the inductive reactance, X_{L}, which is the resistance to the flow of current through the inductor.

From equation 1;

V = IX_{L}

X_{L} = \frac{V}{I} ................ 2

Given that; V = 240V, f = 50Hz, \pi = \frac{22}{7}, I = 15A, so that;

From equation 2,

X_{L}= \frac{240}{15}

    = 16Ω

To determine the inductance of the inductor,

X_{L} = 2\pifL

L = \frac{X_{L} }{2 \pi f}

  = \frac{16}{2*\frac{22}{7}*50 }

 = 0.05091

The inductance of the inductor is 0.051H.

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