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Q: What happens to the resistance when length is doubled n area is quadrupled?

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The volume of the box will be multiplied byeight.

Its area is now eight times greater than its original size. If area = L x H, then 2(L) x (4)H = 8 (original area)

The Area of a square can be written as it's side length^2, orA = s^2if the side length is doubled, then s' is 2s.A' = (s')^2A' = (2s)^2A' = 4s^2 = 4*AWhen the side length is doubled, the area increases by a factor of 4

If the length of each side is doubled, then the perimeter is also doubled.

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).

Related questions

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.

The surface area is quadrupled.

It is quadrupled.

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.

When the linear dimensions of a plane figure are quadrupled, its perimeter is quadrupled, and its area is multiplied by 42 = 16 .

It would be 4 times greater.To find this algebraically: let L be the length and W the width originallyA = L x WWhen both are doubled, the equation becomesA = (2L) x (2W) = 4LWThe area of the rectangle is quadrupled if both the length and width are doubled.

If only the length is doubled, the volume is also doubled.If only the length is doubled, the volume is also doubled.If only the length is doubled, the volume is also doubled.If only the length is doubled, the volume is also doubled.

if length is doubled then resistivity increases&when area is doubled resistivity decreases.

tripled

Doubling the length of the sides of a square results in the area being quadrupled (four times the original area).

resistance doubles

Resistivity is a property of a substance, and doesn't depend on the dimensions of a sample. If the length of a conductor is doubled, then its resistance doubles but its resistivity doesn't change.

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