Question

suppose you want to install a hot tub in your back yard, about 20 meters from the electrical entrance to your house. the hot tub requires a 220v, 50a circuit. what is the minimum wire gauge needed to meet the requirement of <2% voltage drop

Answer 1

So minimum wire gauge needed to meet the requirement of <2% voltage drop is 0.0022m to  install a hot tub in your back yard, about 20 meters.

Resistance of colove will be R = Pl/A

wire used is made of of CU. (general )P of CU = 106 8x10 8 Um.

Hot tub requirement

220V  circuit.

Voltage drop Across wire will be = IR=SO× R

Voltage drob Across wire of 2% Voltage is 50×R

= 50 × Pl/A

50*20 = 4.4 *A/P

$\sqrt{72.343}$=2R

2$\sqrt{72.343}$=D

therefore D=0.0022m.

The physical dimensions and current carrying capabilities of a wire are described by its wire gauge. It is designated by a set number that is inversely proportionate to the conductors' diameter. In layman's terms, a smaller wire gauge number means a greater diameter. Electrical resistance is a force that opposes the flow of current and is hence resistance to electricity. In this sense, it acts as a gauge for the difficulty of current flow. Ohms () are used to measure resistance.

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