Six 20 watt, 12-volt luminaires (lighting fixtures) are supplied from a small, 12-volt transformer that is 60 feet away from the fixtures. the wire used is 14 awg. what is the voltage applied to the fixtures? use k = 11.6.

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abiolataiwo2015 abiolataiwo2015 · Answer 1 · 2022-07-04T22:10:48+02:00

If the wire used is 14 awg. The voltage applied to the fixtures is: 8.61 volts.

First step is to calculate the amperes using this formula

I = P ÷ E

Where:

I =load current (amperes)=?

P =Product of voltage=(6)(20)

E =Electrical circuit's=12

Let plug in the formula

I= (6)(20) ÷ 12

I=120÷12

I= 10 amps

Second step is to calculate the Voltage drop

Using this formula

Vd = [2KIL] ÷ CMA

Where:

Vd= Voltage drop( volts)=?

K=Direct current constant=11.6

I=Load current (amperes)= 10 amps

L =Length in feet=60 feet

CMA=Circular mill area= 4110

Let plug in the formula

Vd= [(2)(11.6)(10)(60)] ÷ 4110

Vd=13,920÷4110

Vd= 3.3869 volts

Third step is to calculate Voltage at fixture

Voltage at fixtures=Electrical circuit's-Voltage drop

Voltage at fixtures=12 - 3.3869

Voltage at fixtures=8.6131 volts

Voltage at fixtures=8.61 volts (Approximately)

Therefore the voltage applied to the fixtures is: 8.61 volts.

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