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Electronics

Single-phase voltage drop

The factor of two accounts for the outbound and return conductors. Length is in kilometres when resistance is given in ohms per kilometre.

The Formula

V_drop = 2 L I R

The factor of two accounts for the outbound and return conductors. Length is in kilometres when resistance is given in ohms per kilometre.

SymbolMeaning
LOne-way length
ICurrent
RResistance per kilometre
VVoltage drop

What Each Symbol Means

Lkilometres

One-way length

In kilometres, to match the resistance units.

Iamperes

Current

The load current in amperes.

Rohms per kilometre

Resistance per kilometre

From the cable datasheet.

Vvolts

Voltage drop

The volts lost over the whole loop.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate voltage drop page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate Voltage Drop, filed under Science. Every number the guide produces comes from substituting into this one line.