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Number 10 wire has a diameter of 2.59mm. Density of aluminum 2.8x10-3 ohm m. How many meters of number 10 aluminum wire are needed to give a resistance of 1ohm?
To calculate the length of the wire needed, you first find the cross-sectional area of the wire using the formula for the area of a circle (A = πr^2), where the radius is half the diameter. Then, you can calculate the length using the formula R = ρ * (L/A), where R is the resistance, ρ is the resistivity of aluminum, L is the length of the wire, and A is the cross-sectional area. Substituting the values of 1 ohm for resistance, 2.59mm for diameter, and 2.8x10^-3 ohm m for resistivity, you can solve for the length of wire needed.
What is the relationship between resistance and cross-sectional area in a conductor?
The relationship between resistance and cross-sectional area in a conductor is inversely proportional. This means that as the cross-sectional area of a conductor increases, the resistance decreases, and vice versa. This relationship is described by the formula: Resistance (resistivity x length) / cross-sectional area.
Does resistance increase as the cross-sectional area of the wire?
the resistance can never increase or decrease....... (you can't open the resistor and take out the something and make the resistance increase or decrease)AnswerSince resistance is directly proportional to the length of a conductor, increasing the length of a wire will increase its resistance. For example, if you double its length, you will double its resistance.
How does the resistance of a wire depend on its dimensions?
The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area. This means that for a given material, a longer wire will have higher resistance and a thicker wire will have lower resistance. The relationship is described by the formula: Resistance = resistivity x (length / cross-sectional area).
Which has the greatest resistance a thick wire or a thin wire of the same length?
A thin wire will have greater resistance than a thick wire of the same length. This is because resistance is inversely proportional to the cross-sectional area of the wire. Thinner wires have smaller cross-sectional areas, leading to higher resistance.
What is the relationship between resistance and cross-sectional area in a conductor?
The relationship between resistance and cross-sectional area in a conductor is inversely proportional. This means that as the cross-sectional area of a conductor increases, the resistance decreases, and vice versa. This relationship is described by the formula: Resistance (resistivity x length) / cross-sectional area.
Number 10 wire has a diameter of 2.59mm. Density of aluminum 2.8x10-3 ohm m. How many meters of number 10 aluminum wire are needed to give a resistance of 1ohm?
To calculate the length of the wire needed, you first find the cross-sectional area of the wire using the formula for the area of a circle (A = πr^2), where the radius is half the diameter. Then, you can calculate the length using the formula R = ρ * (L/A), where R is the resistance, ρ is the resistivity of aluminum, L is the length of the wire, and A is the cross-sectional area. Substituting the values of 1 ohm for resistance, 2.59mm for diameter, and 2.8x10^-3 ohm m for resistivity, you can solve for the length of wire needed.
Does resistance increase as the cross-sectional area of the wire?
the resistance can never increase or decrease....... (you can't open the resistor and take out the something and make the resistance increase or decrease)AnswerSince resistance is directly proportional to the length of a conductor, increasing the length of a wire will increase its resistance. For example, if you double its length, you will double its resistance.
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.
How does the resistance of a wire depend on its dimensions?
The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area. This means that for a given material, a longer wire will have higher resistance and a thicker wire will have lower resistance. The relationship is described by the formula: Resistance = resistivity x (length / cross-sectional area).
Which has the greatest resistance a thick wire or a thin wire of the same length?
A thin wire will have greater resistance than a thick wire of the same length. This is because resistance is inversely proportional to the cross-sectional area of the wire. Thinner wires have smaller cross-sectional areas, leading to higher resistance.
What are the factors affecting the resistance of conductors?
Conductor resistance = Conductor resistivity * Length of conductor / Cross sectional area of conductor. So. It is directly proportional to material & conductor length. And inversely proportional to the cross sectional area of conductor.
How would resistance r depend on cross section and length of the material?
Resistance R =p(L /A)i,e Resistance(R) of a conductor will be directly proportional to its length(L) ==> if the length of the conductor increases its resistance also will increase.i,e Resistance(R) of a conductor is inversely proportional to its cross section area(A) ==> if the Area of the conductor increases its resistance also will decrease.
What are factors that affect resistance of electricity?
Factors that affect resistance of electricity include the type of material the wire is made of (e.g. copper vs. aluminum), the length of the wire (longer wires have higher resistance), and the cross-sectional area of the wire (thicker wires have lower resistance). Temperature also affects resistance, with higher temperatures typically leading to higher resistance.
What is the law of resistance?
The law of resistance states that the resistance in a circuit is directly proportional to the length of the conductor, and inversely proportional to its cross-sectional area and the material's resistivity. It can be calculated using the formula R = ρ * (L/A), where R is resistance, ρ is resistivity, L is length, and A is cross-sectional area.
How do you calculate resistance of 70mm2 single core wire?
How do you calculate Resistance of 70mm2 single core wire?Read more: How_do_you_calculate_resistence_of_70mm2_single_core_wire
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.
