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laiz [17]
2 years ago
15

ou are given three pieces of wire that have different shapes (dimensions). You connect each piece of wire separately to a batter

y. The first piece has a length L and cross-sectional area A. The second is twice as long as the first, but has the same thickness. The third is the same length as the first, but has twice the cross-sectional area. Rank the wires in order of which carries the most current (has the lowest resistance) when connected to batteries with the same voltage difference. Rank the wires from most current (least resistance) to least current (most resistance). ResetHelp Least Current
Physics
1 answer:
Helga [31]2 years ago
5 0

Answer:

 i₃ >  i₁ > i₂

Explanation:

For this exercise we use the resistance ratio

        R = ρ \frac{l}{A}

where ρ is the resistivity of the wire, in this case it is the same for all three cases, l the length and A the area of ​​the wire.

We have three cases

a) length    l = L

  area       A = A

b) length   l = 2L

    area    A = A

c) length  l = L

   area    A = 2A

we calculate the resistance for each case

a) R₁ = ρ  L / A

b) R₂ = ρ 2L / A

   R₂ = 2 ρ L / A

   R₂ = 2 R₁

c) R₃ = ρ  L / 2A

   R₃ = ½ ρ L / A

   R₃ = 0.5 R₁

therefore when the connect of the circuit is carried out we can use ohm's law

         V = i R

          i = V / R

whereby

a)  i₁ = V / R₁

b)  i₂ = V / 2R₁

    i₂ = ½ i₁

    i₂ = 0.5 i₁

c)  i₃ = V / 0.5 R₁

    i₃ = 2 I₁

the order from highest to lowest in the current is

           i₃ >  i₁ > i₂

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Answer: The loss of energy due to friction is equal to 1,253 J.

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After arriving to the flat zone, all potential energy has become in kinetic energy, even though not completely, due to the effect of friction.

This remaining kinetic energy can be written as follows:

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