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Building Services Engineering 5th Edition Handbook

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298 Electrical installations<br />

power in watts = volts × amps<br />

= 240 V × 1.5 A<br />

= 360 W<br />

From Ohm’s law:<br />

I = V R<br />

and so,<br />

R = V I<br />

= 240<br />

1.5<br />

= 160 <br />

EXAMPLE 13.4<br />

PVC insulation on a conductor carrying 415 V has an electrical resistance to earth of<br />

500 M. What leakage current could flow through the PVC when the cable is laid on an<br />

earthed metal support? (1 M = 10 6 .)<br />

The difference between line and earth is 240 V. From Ohm’s law<br />

I = V R<br />

240 V<br />

=<br />

500 × 10 6 <br />

= 0.48 × 10 −6 A<br />

= 0.48 µA<br />

EXAMPLE 13.5<br />

Compare the currents carried by an overhead line at 400 and 33 kV for the transmission<br />

of 10 MW of power for unity power factor, cos φ = 1.<br />

For a three-phase system, using:<br />

watts = volts × amps × √ 3 × cos φ<br />

current in amps = watts<br />

volts × 1 √<br />

3<br />

× 1<br />

cos φ

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