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by the 10-kW load is approximately 833 A, while in the bottom circuit, with RS = 002 , it is approximately half as much (417 A) (You should be able to verify that the approximate I 2 R losses are 694 W in the top circuit and 347 W in the bottom circuit) Limiting the I 2 R losses is important from the viewpoint of ef ciency, besides reducing the amount of heat generated in the wiring for safety considerations Figure 758 shows some typical wiring con gurations for a home Note that several circuits are wired and fused separately
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240 V
R L P = 10 kW L
Figure 757 Line losses in 120-VAC and 240-VAC circuits
20 A W G B Kitchen (120 V circuit)
15 A
W G B
Bedroom (120 V circuit)
20 A 20 A
W G B B W or G R R W G
Washing machine, Dryer (120 V circuit)
20 A 15 A
GFCI
Electric stove (240 V circuit)
Outdoor lighting
Figure 758 A typical residential wiring arrangement
Today, most homes have three wire connections to their outlets The outlets appear as sketched in Figure 759 Then why are both the ground and neutral connections needed in an outlet The answer to this question is safety: the ground connection is used to connect the chassis of the appliance to earth ground Without this provision, the appliance chassis could be at any potential with respect to ground, possibly even at the hot wire s potential if a segment of the hot wire were to lose some insulation and come in contact with the inside of the chassis! Poorly grounded appliances can thus be a signi cant hazard Figure 760 illustrates schematically how, even though the chassis is intended to be insulated from the electric circuit, an unintended connection (represented by the dashed line) may occur, for example, because of corrosion or a loose mechanical connection A path to ground might be provided by the body of a person touching the chassis with a hand In the gure, such an undesired ground loop current is indicated by IG In this case, the ground current IG would ow directly through the body to ground and could be harmful
Neutral (White wire)
Hot (Black wire)
Ground (Green or bare wire)
Figure 759 A three-wire outlet
7
AC Power
Chassis
120 V
Load
+ Unknown potential
Chassis
120 V
Load
Figure 760 Unintended connection
1 Severe burns Respiratory paralysis Ventricular fibrillation 01 Amperes Severe shock Extreme breathing difficulties Cannot let go Painful Mild sensation Threshold of perception 0001
Figure 761 Physiological effects of electric currents
In some cases the danger posed by such undesired ground loops can be great, leading to death by electric shock Figure 761 describes the effects of electric currents on an average male when the point of contact is dry skin Particularly hazardous conditions are liable to occur whenever the natural resistance to current ow provided by the skin breaks down, as would happen in the presence of water The ground fault circuit interrupter, labeled GFCI in Figure 758, is a special safety circuit used primarily with outdoor circuits and in bathrooms, where the risk of death by electric shock is greatest Its application is best described by an example Consider the case of an outdoor pool surrounded by a metal fence, which uses an existing light pole for a post, as shown in Figure 762 The light pole and the metal fence can be considered as forming a chassis If the fence were not properly grounded all the way around the pool and if the light xture were poorly insulated from the pole, a path to ground could easily be created by an unaware swimmer reaching, say, for the metal gate A GFCI provides protection from potentially lethal ground loops, such as this one, by sensing both the hot-wire (B) and the neutral (W) currents If the difference between the hot-wire current, IB , and the neutral current, IW , is more than a few milliamperes, then the GFCI disconnects the circuit nearly instantaneously Any signi cant difference between the hot and neutral (return-path) currents means that a second path to ground has been created (by the unfortunate swimmer, in this example) and a potentially dangerous condition has arisen Figure 763 illustrates the idea GFCIs are typically resettable circuit breakers, so that one does not need to replace a fuse every time the GFCI circuit is enabled
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