chawki said:Homework Statement
A 200m long copper wire, with cross section area of 1.5mm2, is connected with a 10Ω resistor in a series circuit, and the supply voltage is 50V.
Homework Equations
Find the power loss in the copper wire, when ρ=0.0175 Ωmm2/m
The Attempt at a Solution
R=*L/A
P=V2/R
P=502/(0.0175*(200/1.5))
P=1068.37 Watt.
Then you need to find out what the current, I, is.chawki said:yeah i think i made a mistake :/ but we don't have I
chawki said:I=50/2.34=21.36Amperes
P=2.34*(21.36)2
P=1067.62 watt
somehow it looks the same answer as the one posted in post #1
Power loss in copper wire is caused by the resistance of the wire. As electricity flows through the wire, it encounters resistance, which results in some of the energy being converted into heat. This heat energy is what causes power loss in the wire.
The longer the length of copper wire, the higher the resistance and therefore the greater the power loss. This is because the electricity has to travel a longer distance, encountering more resistance along the way. As a result, longer copper wires will have a higher power loss compared to shorter wires.
Yes, the thickness of the copper wire, also known as the gauge, can impact power loss. Thicker wires have a lower resistance and therefore a lower power loss compared to thinner wires. This is because thicker wires have more space for the electricity to flow, reducing the amount of resistance encountered.
The higher the voltage, the higher the power loss in copper wire. This is because higher voltage results in a higher current, which leads to more energy being converted into heat due to resistance. Therefore, it is important to consider the voltage when determining the appropriate gauge of copper wire to use to minimize power loss.
To reduce power loss in copper wire, the most effective way is to use thicker wires with a lower gauge. This will decrease the resistance and therefore the power loss. Additionally, using shorter wires or increasing the voltage can also help reduce power loss. Proper maintenance and ensuring the wire is not damaged can also help minimize power loss.