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The resistance of a conductor is directly proportional to the length of the conductor (the longer the resistance) and inversely proportional to the cross-sectional area of the conductor (the smaller the area, the greater the resistance).
In fact, there is a premise. To be precise, the resistance of the conductor is proportional to the length of the conductor when the cross-section is unchanged; With the same length, the resistance of the conductor is inversely proportional to the cross-sectional area of the conductor.
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r=p*l/s
r denotes resistance.
P pronounced "rho", which means electrical conductivity, which is related to materials, such as gold, silver and copper, the conductivity is small, and our wires are often replaced by aluminum or copper, while metals such as iron are relatively large.
l indicates the length of the material, indicating that the resistance is proportional to the material.
s denotes the cross-sectional area of the material, indicating that the resistance is inversely proportional to the cross-sectional area of the material.
However, the above formula is established under the premise that the cross-section of the material is uniform, and as for the unequal cross-section, the same is true, the resistance is smaller in the thicker place, and the larger in the thinner place. You can observe that when the fuse is blown out, the part that burns out is relatively thin.
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Resistor getting longer? All other factors remain the same, the larger the cross-sectional area, the smaller the resistance.
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The law of resistance --- the law that determines the magnitude of resistance.
r=pl/s
where r is the magnitude of the resistance, p is the resistivity (only related to the resistor's material and its surroundings such as temperature), l is the length of the resistance, and s is the cross-sectional area of the resistance.
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This proposition must be true when the temperature, length, and material of the conductor are unchanged!
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Generally speaking, it is like this (your question is correct).
Of course, you also have to consider temperature, materials, and other reasons, but I don't think what you mean is that complicated, so even if it's right.
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This is also related to temperature, the lower the temperature, the lower the resistance, don't you know superconductors? The resistance of superconductors is zero because the temperature is very low. So I thought that the resistance value and temperature also have a relationship.
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It also has something to do with the material, but what you're talking about is secondary.
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The resistance of the resistor is proportional to the length of the conductor and inversely proportional to the cross-sectional area.
The factors that determine the magnitude of the resistance are the length of the conductor, the material, the cross-sectional area, and the temperature. Temperature is an external factor, and in common conductors, temperature has little effect on the magnitude of the resistance. Length, material, cross-sectional area are factors of the conductor itself.
Factors that affect the magnitude of the resistance are the material, length, cross-sectional area, and temperature of the conductor. When the material and cross-sectional area are the same, the longer the length of the conductor, the greater the resistance. When the material and length are the same, the smaller the cross-sectional area of the conductor, the greater the resistance.
When the length and cross-sectional area are the same, the conductor resistance of different materials is different. For most conductors, the higher the temperature, the greater the resistance, such as metals, etc.; For a few conductors, the higher the temperature, the lower the resistance, such as carbon.
The obstruction effect of a conductor on the current is called the resistance of the conductor. The greater the resistance of a conductor, the greater the resistance of the conductor to the current. Different conductors, the resistance is generally different, and resistance is a property of the conductor itself.
The resistance of a conductor is usually denoted by the letter r, and the unit of resistance is ohms.
Abbreviated as Europe, the symbol is .
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It represents the resistance value of a conductor with a length of 1 meter and a cross-sectional area of 1 square millimeter, and if the length is increased, the resistance is increased when the area is increased, which is contradictory. What's going on?
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The resistance of a resistor is determined by the length of the conductorProportional, which is formed with the cross-sectional areaInverse proportionality。Imagine a water pipe, the longer the water pipe, the longer the water in the pipe is to pass, that is to say, the greater the resistance, the thicker the water pipe, the shorter the time for the water in the pipe to pass, that is to say, the smaller the resistance.
The formula can also state r=p*l s(p—resistivity.
look up the form; l—resistance length; s — the cross-sectional area of the resistance perpendicular to the current), r and l, r and s can be explained.
While the resistance of most semiconductors increases with temperature, some semiconductors do the opposite. For example, in the case of glass, carbon at a certain temperature, the resistance of the material is proportional to the length of the material, and inversely proportional to its area.
Classification of resistors:
1. According to the working characteristics of resistors and their role in the circuit, they can be divided into two categories: fixed resistors and variable resistors.
Resistors with fixed resistance value are called fixed resistors, and fixed resistors include many kinds, mainly carbon resistors, carbon film resistors, metal film resistors, wirewound resistors, etc. A resistor with an adjustable resistance within a certain range is called a variable resistor or potentiometer.
The variable resistor is generally adjustable at both ends, and the gear regulator is generally adjustable at three ends.
2. According to the appearance and shape of the resistor, it is generally divided into cylindrical resistors, button resistors and chip resistors.
3. According to the different production materials, resistors can be divided into wirewound resistors, film resistors, carbon resistors, etc.
4. According to different uses, resistors can be divided into precision resistors, high-frequency chain hail resistors, high-voltage resistors, high-power resistors, thermistors and fuse resistors.
5. If the lead wire is different, the resistor can be divided into axial.
Lead resistors, leadless resistors, etc.
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The resistance of a conductor is proportional to the length and inversely proportional to the cross-sectional area, and the proportionality factor is resistivity!
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When the material and cross-sectional area are the same, the longer the length of the conductor, the greater the resistance. When the material and length are the same, the smaller the cross-sectional area of the conductor, the greater the resistance.
When the length and cross-sectional area are the same, the conductor resistance of different materials is different. For most high-type plex conductors, the higher the temperature, the greater the resistance, such as metals; For a few conductors, the higher the temperature, the lower the resistance, such as carbon.
Related introductions. The greater the resistance of the conductor, the greater the resistance of the conductor to the current. Different conductors, Qi Ying's resistance is generally different, and resistance is a property of the conductor itself. The resistance of a conductor is usually denoted by the letter r, and the unit of resistance is ohms.
Resistance is equal to voltage divided by current, and the mathematical relationship between voltage and resistance is: r=u i, where r is the resistance of the conductor, u is the voltage across the conductor, and i is the current through the conductor. The resistance of a conductor to an electric current is called the resistance of the conductor.
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According to the resistance formula: r = l s ( is the resistivity, which is related to the material of the conductor; l is the length of the conductor, s is the cross-sectional area of the conductor) It can be seen that the resistance of the conductor is proportional to the length and inversely proportional to the cross-sectional area of the conductor.
Therefore, for the same conductor, the smaller the cross-sectional area, the greater the resistance.
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Just like the flow of water, the resistance to the passage of a small diameter is greater, and the longer it takes to complete the same volume.
The same is true for the electrical current, which is the directional movement of electrons, so the smaller the cross-sectional area, the greater the resistance to the electrons, which is the resistance. It's like crossing a single-plank bridge.
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In a series circuit, if one resistance value becomes smaller (or larger), the total resistance also becomes smaller (or larger); In a parallel circuit, the resistance of any resistor becomes larger, and the total resistance also becomes larger (the length of the conductor that can be considered to be the total resistance increases again); As the resistance of any resistor decreases, the total resistance also decreases (the conductor that can be thought of as the total resistance increases the cross-sectional area).
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The larger the area, the less difficult it is for the current to pass through in the same time, and the less obstruction it has, that is, the less resistance it has.
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To use an analogy: the wider a road, the less difficult it is for crowds to pass; The reverse is the same.
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The basic theory is, so you should be satisfied.
Everything can be said to be resistant, but the magnitude of resistivity is just that.
And everything is made up of atoms, you know.
Then the resistivity is related to the freedom of the electrons between these atoms, and the greater the freedom, the greater the resistivity.
Then there's the problem of area, where the unit resistance of everything is the same (in theory, there may be some slight deviations due to one or two electrons or so on).
That is to say, the number of free electrons per unit area is the same, the larger the area, the more free electrons, and there are gaps between atoms, which you should also know that the total area of voids per unit area is the same (same as above), so the larger the area, the smaller the hindrance to the electrons.
That is, the larger the area, the greater the current.
According to r=u i, the larger the cross-sectional area of the resistor, the larger the current, i.e., the smaller the resistance, under the condition that the voltage is constant.
Of course, this is in the absence of gravity in an absolute vacuum, without taking into account the bending of the resistance (the resistance is considered to be straight), otherwise the result may be affected by various fields.
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The resistance is proportional to the length of the conductor and inversely proportional to the cross-sectional area.
The longer the conductor, the resistance.
.The bigger the ,..
The cross-sectional area is larger and larger, and the resistance is larger.
.The smaller the ,..
Yes, you can see that these two kinds of Huisen answers do not conflict with each other, and they confirm each other.
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The resistance of the resistor is directly proportional to the length of the conductor and inversely proportional to the cross-sectional area. Imagine the water pipe, the longer the water pipe, the longer the water in the pipe is to pass, that is to say, the greater the resistance, the thicker the water pipe, the shorter the time for the water in the pipe to pass, and the smaller the resistance value.
The formula can also be illustrated r=p*l s(p—resistivity look-up table; l—resistance length; s — the cross-sectional area of the resistance perpendicular to the current), r and l, r and s can be explained.
While the resistance of most (metallic) semiconductors increases with increasing temperature, some semiconductors do the opposite. For example, under the condition of a certain temperature, the resistance of the material is proportional to the length of the material and inversely proportional to its area.
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The magnitude of a conductor's resistance is directly related to its length and cross-sectional area. Specifically, the resistance is directly proportional to the length of the conductor and inversely proportional to the cross-sectional area of the conductor. This is because the resistance is caused by the interaction between the electronic signal and the ions inside the conductor, and the longer the conductor long slip brigade, the more interaction between the electrons and the ions, and the greater the resistance.
The larger the cross-sectional area of the conductor, the greater the space for electrons to move inside the conductor, the less interaction there is, and the smaller the resistance. This relationship can be expressed in Ohm's law, where the resistance r is equal to the resistivity multiplied by the conductor length l, divided by the conductor cross-sectional area a, i.e. r = l a.
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The conductor resistance is proportional to the length and inversely proportional to the cross-sectional area.
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