how do the length, diameter and temperature of a copper wire affect its resistance? course hero

by Estel Wunsch 10 min read

A longer wire will have less resistance, a larger diameter wire will have more resis- tance, and higher temperatures mean less re- sistance. 3. A longer wire will have more resistance, a larger diameter wire will have less resis- tance, and higher temperatures mean higher resistance.

Full Answer

How does the length of a wire affect the resistance?

The length of a wire when it is longer, causes the resistance to increase, when the wire is shortened the resistance decreases. A larger diameter wire will carry more current than a small diameter will. A longer wire will eventually carry less current, because the resistance increases as the length increases.

Does a longer or shorter wire carry more current?

A longer wire will eventually carry less current, because the resistance increases as the length increases. A shorter wire can carry more current than a longer wire. So, across a single wire the voltage will stay the same, but the current can go up or down depending on the length of the wire, and the diameter of the wire.

Why does voltage stay the same across a single wire?

So, across a single wire the voltage will stay the same The diameter of a wire affects the resistance of the wire, so that when the diameter is small, the resistance goes up. When the diameter is increased, the resistance is lower.

What is the relationship between voltage current and resistance?

First, the relationship of voltage, current and resistance is described by Ohm's Law, I = V/R. Second, the resistance of a wire is proportional to it's length and resistivity of the metal used and inversely proportional to it's cross-sectional area.

How does the diameter of a wire affect the resistance of the load?

How does resistance affect a wire?

How to determine the resistance of a conductor?

What is the difference between short and long wire?

What happens to the voltage applied to a circuit when you draw too much current?

How many amps can a 10 amp wire carry?

How does increasing resistance affect voltage?

See 2 more

About this website

How does length and diameter affect resistance?

Therefore, the resistance is inversely proportional to the square of the diameter of the conductor. The resistance gets decreased as the diameter is increased. If ratio of resistance of the conductor of the same length and diameter ratio is 1:2 will have resistance ratio 4:1.

How does length of wire affect resistance?

The resistance of a long wire is greater than the resistance of a short wire because electrons collide with more ions as they pass through. The relationship between resistance and wire length is proportional .

What is the effect of change in length of a conductor on its resistance and resistivity?

If the length of a conductor is increased, its resistivity decreases. If the length of a conductor is increased, its resistivity decreases.

Does temperature affect resistance?

If the temperature of a metal conductor increases, the ions of the metal vibrate more vigorously. This increases the number of collisions between the free electrons and the ions. Hence, for a metal, resistance increases with increasing temperature. Often the increase in temperature is caused by an increase in current.

How does length affect the resistance of a material?

The resistance is directly proportional to the length of a wire and inversely proportional to the cross-sectional area of the wire → R = ρ L A , where , a constant of proportionality, is called the resistivity which depends upon the material used to make the wire.

How does temperature affect resistance of a wire experiment?

An increase in temperature of the copper wire will cause an increase in the resistance of the copper wire, and will thereby reduce conductivity, which is the flow of electric current through the wire. This experiment is a medium risk experiment.

How does the resistance of a copper wire change when both the length and diameter of the wire are doubled?

From Equation 20.3, we see that doubling both the diameter and length causes the resistance of the wire to be reduced by a factor of 2. 1.

Why does increasing the length of a wire increase resistance?

The length of the wire is directly proportional to the resistance. The longer the wire, greater it's resistance. The longer the wire is, more number of collisions occur while the electrons travel from one end of the wire to another. This increases the resistance.

What happens to resistance when length increases?

When the length of the material is increased, its value of resistance also increases. When the length of the material decreases, its value of resistance will also decrease.

Why does the resistance of copper increases with temperature?

Solution. The resistance of a conductor increases with an increase in temperature because the thermal velocity of the free electrons increases as the temperature increases.

What is the effect of temperature on resistance and resistivity?

Resistivity is indirectly proportional to the temperature. As there is an increase in the temperature of materials, their resistivities will decrease.

What happens to the resistance of copper wire when it is heated?

As the wire gets hotter, the ions vibrate more vigorously. This makes it more difficult for electrons to pass along the wire. Hence the resistance increases.

How does length of wire affect resistance lab?

Furthermore, the resistance of a wire is directly proportional to the length and inversely proportional to the area, so doubling the length of a wire should increase the resistance by a factor of two.

How does wire thickness and length affect resistance?

The longer a wire is the more resistance it has due to the longer path the electrons have to flow along to get from one end to the other. The larger the cross sectional area, the lower the resistance since the electrons have a larger area to flow through. This will continue to apply no matter how thick the wire is.

Does length affect resistivity?

The resistance of a wire is proportional to its length and inversely proportional to its cross sectional area. The resistance of a wire is the given by: R, equals, start fraction, rho, L, divided by, A, end fraction.

How does the length of a wire affect current?

The longer the wire, the higher the resistance, the less current will flow.

How does the length of a wire affect the resistance?

This shows a strong positive correlation, as the trend line is positive. As the length of wire increases, the resistance also increases. This shows that the more wire there is, the higher the resistance. This is because the longer the wire, the more times the free electrons will collide with other free electrons, the particles making up the metal, and any impurities in the metal. Therefore, more energy is going to be lost in these collisions (as heat). Whereas when there is less wire, there are fewer electrons to collide with each other, or particles of the copper or any impurities in the copper. Therefore the resistance is low when there is less wire.

Why does resistance increase as the length of a wire increases?

This is because the current will have more wire to pass through so the resistance will be high, whereas when there is less wire, the current can flow through easier, having a lower resistance.

Why is resistance higher when there is less wire?

This is because the current and electrons will have more wire to pass through so the resistance will be high, whereas when there is less wire, the current can flow through easier, having a lower resistance. Research and Preliminary experiment.

What are the factors that affect resistance?

Factors affecting resistance. There are four main factors affecting resistance: * As temperature increases, the resistance of a wire increases. This is because as the temperature rises, the particles of the wire move about, therefore the electrons have a higher restriction, resulting in a high resistance. * The type of material also affects ...

Why is a variable resistor used?

This is because the higher the width of the wire, the more space that the electrons will have to move about, resulting in no collisions as there will be a lot of free space. * As the length increases of a wire, the resistance increases also. A variable resistor or rheostat is used to vary the current in a circuit.

What is resistance in a circuit?

Resistance is the measure of how hard it is to get a current through a component in a circuit at a particular potential difference. Varying the resistance in the circuit can control the current through a circuit.

Which has the highest resistance?

Copper has the highest resistance, meaning that it is harder for the current to pass through, whereas Nickel has the lowest resistance as current passes through easily.

How does the diameter of a wire affect the resistance of the load?

If you are asking how the diameter and length if a wire affects the resistance of the load. Look at a wire resistance table in any engineering handbook. It is all there for you to see. Generally smaller diameter wires have higher resistance. For each length, as it goes up, the resistance also increases.

How does resistance affect a wire?

The resistance of a wire is fixed and measured in ohms per foot or meter. This affects the current available for the load. It has no effect on the boltage applied to the wire at the source. But dies apply to the voltage available at the load.

How to determine the resistance of a conductor?

Any length of any conductor has a finite amount of resistance (R), which is based on the conductor material and the cross-sectional area and the length of that conductor. For a given conductor material and cross sectional area, the longer the length (L) of wire, the higher the end-to-end resistance (R) of that wire will be. For example, #10 copper wire has a resistance of approximately 1 ohm per 1000 feet (i.e., I milliohm per foot). If you have a 4000 foot length of #10 copper wire, it will have an end-to-end resistance of 1 ohm/kft x 4 kft = 4 ohms. That means for every ampere of current (I) that flows through that 4000 foot length of wire, there will be a voltage drop of V = RI = 4 (1) = 4 volts. It the conductor is twice that long, it will drop 2 x 4 = 8 volts per ampere, and so on. By Kirchoff’s Voltage Law (KVL), the voltage dropped across the line is equal to to the difference between the source voltage and the voltage across the load. Put another way, the voltage across the load is less than the source voltage, by the voltage dropped across the line.

What is the difference between short and long wire?

For a fixed (same) supply voltage and same load, the CURRENT in wire with short length would be more than the wire with longer length, The difference may not be noticeable or sufficient. The difference in current would be due to resistance of wire, which would be less for short length of wire.

What happens to the voltage applied to a circuit when you draw too much current?

The source, like the components in the circuit, are generally treated as if they are ideal, so unlike a battery or power supply, whose output voltage droops if you draw too much current, the voltage applied to the circuit will be constant-voltage. (And yeah, that's what happens to the vo

How many amps can a 10 amp wire carry?

Another thing to note is that a wire rated for say 10 amps current can also carry 20 Amp s current. The current ratings are based on safe temperature rise of the wire. It depends on many things like duty cycle of load, ambient temperature of environment, length of wire, and medium in which wire is being used. For very long lengths (say in Kms) the wires are rated as per the voltage drop in it for rated current.

How does increasing resistance affect voltage?

With a simple source - resistance circuit, increasing the resistance will raise the voltage and power, and in a complex circuit, each component must have voltage calculated by first solving for how much current that branch gets, then that current times each component's impeda ce.

Resistance, length and diameter of wire calculator - information

ρ – conductivity (specific resistance) of a conductor, a parameter characterizing the material.

Calculator of reactive power from voltage and current

The reactive power calculator in AC circuits will help you easily calculate reactive power, voltage and current.

Voltage drop calculator from current for single-phase and three-phase circuits

With this calculator you can calculate voltage drops for single-phase and three-phase AC circuits calculated from the rated current. You will also calculate wire length, wire diameter, wire cross-sectional area, voltage or current.

How does the diameter of a wire affect the resistance of the load?

If you are asking how the diameter and length if a wire affects the resistance of the load. Look at a wire resistance table in any engineering handbook. It is all there for you to see. Generally smaller diameter wires have higher resistance. For each length, as it goes up, the resistance also increases.

How does resistance affect a wire?

The resistance of a wire is fixed and measured in ohms per foot or meter. This affects the current available for the load. It has no effect on the boltage applied to the wire at the source. But dies apply to the voltage available at the load.

How to determine the resistance of a conductor?

Any length of any conductor has a finite amount of resistance (R), which is based on the conductor material and the cross-sectional area and the length of that conductor. For a given conductor material and cross sectional area, the longer the length (L) of wire, the higher the end-to-end resistance (R) of that wire will be. For example, #10 copper wire has a resistance of approximately 1 ohm per 1000 feet (i.e., I milliohm per foot). If you have a 4000 foot length of #10 copper wire, it will have an end-to-end resistance of 1 ohm/kft x 4 kft = 4 ohms. That means for every ampere of current (I) that flows through that 4000 foot length of wire, there will be a voltage drop of V = RI = 4 (1) = 4 volts. It the conductor is twice that long, it will drop 2 x 4 = 8 volts per ampere, and so on. By Kirchoff’s Voltage Law (KVL), the voltage dropped across the line is equal to to the difference between the source voltage and the voltage across the load. Put another way, the voltage across the load is less than the source voltage, by the voltage dropped across the line.

What is the difference between short and long wire?

For a fixed (same) supply voltage and same load, the CURRENT in wire with short length would be more than the wire with longer length, The difference may not be noticeable or sufficient. The difference in current would be due to resistance of wire, which would be less for short length of wire.

What happens to the voltage applied to a circuit when you draw too much current?

The source, like the components in the circuit, are generally treated as if they are ideal, so unlike a battery or power supply, whose output voltage droops if you draw too much current, the voltage applied to the circuit will be constant-voltage. (And yeah, that's what happens to the vo

How many amps can a 10 amp wire carry?

Another thing to note is that a wire rated for say 10 amps current can also carry 20 Amp s current. The current ratings are based on safe temperature rise of the wire. It depends on many things like duty cycle of load, ambient temperature of environment, length of wire, and medium in which wire is being used. For very long lengths (say in Kms) the wires are rated as per the voltage drop in it for rated current.

How does increasing resistance affect voltage?

With a simple source - resistance circuit, increasing the resistance will raise the voltage and power, and in a complex circuit, each component must have voltage calculated by first solving for how much current that branch gets, then that current times each component's impeda ce.