If both the diameter and length of a wire are quadrupled, the resistance of the wire will increase by a factor of 16. This is because resistance is directly proportional to the length of the wire and inversely proportional to the cross-sectional area of the wire, which is determined by the diameter. By quadrupling both, the resistance will increase by 4^2 = 16 times.
If the length of the conductor increases while the diameter remains constant, the resistance of the conductor will increase. Resistance is directly proportional to the length of the conductor, so a longer conductor will have higher resistance. The diameter, however, does not directly affect resistance as long as it remains constant.
Resistance is inversely related to the diameter of a wire. A larger diameter wire will have less resistance compared to a smaller diameter wire, assuming other factors like length and material remain constant. This is because a larger diameter wire provides more space for electrons to flow through, resulting in less resistance to the flow of current.
If the wire is increased in length, the diameter of the wire should remain the same unless explicitly changed. The diameter of a wire is determined by its cross-sectional area, which is independent of its length.
The resistance of a wire is not sufficient information to determine its diameter. The diameter of a wire is typically needed to calculate its resistance using the formula R = ρ*L/A, where ρ is the resistivity, L is the length, and A is the cross-sectional area. You would need to know the resistivity and material of the wire to calculate its diameter.
The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area. Therefore, as the diameter of a wire increases, its cross-sectional area also increases, leading to a decrease in resistance. This relationship follows the formula for resistance: R = ρL/A, where R is resistance, ρ is resistivity, L is length, and A is cross-sectional area.
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If the length of the conductor increases while the diameter remains constant, the resistance of the conductor will increase. Resistance is directly proportional to the length of the conductor, so a longer conductor will have higher resistance. The diameter, however, does not directly affect resistance as long as it remains constant.
When the linear dimensions of a plane figure are quadrupled, its perimeter is quadrupled, and its area is multiplied by 42 = 16 .
Doubling the diameter of a circular-section conductor will quadruple its cross-sectional area and, therefore, reduce its resistance by a quarter. Doubling the length of a conductor will double its resistance. So, in this example, the resistance of the conductor will halve.
Its elemental makeup. Its' diameter and its' length.
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If the diameter of a circle is quadrupled, the circle's area goes up 16 times as area is proportional to diameter squared. Remember area = pi /4 times diameter squared -------------------------------------------------------------------------- In any ratio of shapes: whatever the ratio of the lengths, the ratio of the areas is the square of that ratio. In this case, the ratio is 1:4, so the areas are in the ratio of 1²:4² = 1:16; ie as the length of the diameter is quadrupled (ratio 1:4), the area becomes 16 times bigger (1:16).
ERMM THE RESISTANCE INCREASES ) when longer
Doubling the length of the sides of a square results in the area being quadrupled (four times the original area).
Resistance is inversely related to the diameter of a wire. A larger diameter wire will have less resistance compared to a smaller diameter wire, assuming other factors like length and material remain constant. This is because a larger diameter wire provides more space for electrons to flow through, resulting in less resistance to the flow of current.
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.
If the wire is increased in length, the diameter of the wire should remain the same unless explicitly changed. The diameter of a wire is determined by its cross-sectional area, which is independent of its length.