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Why is resistance of a wire directly proportional to its length?
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∙ 11y ago
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∙ 11y ago
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How does the resistance of a wire vary with its lenght?
If the wire's cross-section area is constant, then its resistance per unit length is constant, and the total resistance should be directly proportional to the length of a wire segment.
What are the two factors of a wire that will alter its resistance?
The resistance of the wire is directly proportional to the length and inversely proportional to the area of cross section. Also it depends on the material of the wire with which it is made. So three factors. Length, area of cross section, material.
Is the resistance of the wire directly or inversely proportional to the cross-sectional area of the wire?
When it is on the cross-sectional area it is inversely proportional to the wire,otherwise it is directly proportional to the wire.
How does the length of a wire affect the resistance?
Yes, resistance is directly proportional to the length, and inversely proportional to the cross sectional area. R = p*l/A. Where R is the resistance of the piece of conducting material, p is Greek letter rho, representing the resistivity of the material, l (lower case L) is the length, and A is the area.
Why does a long and thin wire have a great resistance?
Because resistance is inversely proportional to the cross sectional area of the wire and directly proportional to its length. R = p*L/A, where R is resistance (in Ohms), p is resistivity (property of the material, in Ohms*m), L and A are length and area of the wire. And if you think about it, it makes perfect sense. In thick wire electrons have a lot of 'room' to move, they do not obstruct the path. If you imagine it is like a road with many free lanes - cars move fast and freely i.e. low resistance (or more scientifically, like many wires in parallel). Where as length is proportional to the resistance, since every small segment of wire adds more resistance to the total (many wires in series).
How does the resistance of a wire vary with its lenght?
If the wire's cross-section area is constant, then its resistance per unit length is constant, and the total resistance should be directly proportional to the length of a wire segment.
What happens to the current of the wire when the length increases?
resistance is directly proportional to wire length and inversely proportional to wire cross-sectional area. In other words, If the wire length is doubled, the resistance is doubled too. If the wire diameter is doubled, the resistance will reduce to 1/4 of the original resistance.
Which variable is inversely proportional to the resistance?
If you have a conductor ... say, a copper wire ... and you keep its diameter and temperatureconstant, then yes, its resistance will be directly proportional to its length.
What are the two factors of a wire that will alter its resistance?
The resistance of the wire is directly proportional to the length and inversely proportional to the area of cross section. Also it depends on the material of the wire with which it is made. So three factors. Length, area of cross section, material.
Would thick wires tend to have the least amount of eletrical resistance?
Yes, the resistance is directly proportional to length of wire and inversely proportional Area, hence when Length of wire increases the resistance also increases and when Area increases the resistance decreases. This means a thick wire has least amount of Electrical resistance.
Is the resistance of the wire directly or inversely proportional to the cross-sectional area of the wire?
When it is on the cross-sectional area it is inversely proportional to the wire,otherwise it is directly proportional to the wire.
What is the Change in resistance of wire when its length is double?
Assuming the wire follows Ohm's Law, the resistance of a wire is directly proportional to its length therefore doubling the length will double the resistance of the wire. However when the length of the wire is doubled, its cross-sectional area is halved. ( I'm assuming the volume of the wire remains constant and of course that the wire is a cylinder.) As resistance is inversely proportional to the cross-sectional area, halving the area leads to doubling the resistance. The combined effect of doubling the length and halving the cross-sectional area is that the original resistance of the wire has been quadrupled.
What is the relationship between wire size length of run and voltage drop?
The wire resistance is proportional to the length of wire divided by its cross-section area. The voltage drop is proportional to the resistance times the current.
How does the length of a wire affect the resistance?
Yes, resistance is directly proportional to the length, and inversely proportional to the cross sectional area. R = p*l/A. Where R is the resistance of the piece of conducting material, p is Greek letter rho, representing the resistivity of the material, l (lower case L) is the length, and A is the area.
What does resistance in wire depend on?
Resistance is directly proportional to the resistivity and length of the conductor, and inversely-proportional to its cross-sectional area. As resistivity is affected by temperature, we can say that temperature indirectly affects resistance.
Does the resistance of a conductor incfrease by any measure when the conductor is in doubled in length?
The resistance is directly proportional to the length of conductor and inversely proportional to area of the cross section.If the length is doubled then the resistance will double.Resistance=rho*l/arho=resistivity of the material (Ohms/m) and depends on the material used for the wirel=length of the wirea= area of the cross section of the wire.
Which has the greater resistance thick wire or a thin of the same length?
The thermal resistance of a wire is proportional to ln(r2/r1), meaning that a thicker wire has a greater thermal resistance.
