Potential difference between Bird's Feet?

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Homework Help Overview

The problem involves determining the potential difference between a bird's feet while it sits on a high-voltage power line. The wire's specifications include its material (aluminum), diameter, and the current it carries.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss calculating the resistance of the wire using its cross-sectional area and material properties. There are attempts to apply Ohm's Law and questions about how to proceed with the calculations.

Discussion Status

The discussion is active, with participants exploring the relationship between current, resistance, and potential difference. Some guidance has been provided regarding the use of Ohm's Law, but there is no explicit consensus on the next steps.

Contextual Notes

Participants are working with specific values for the wire's dimensions and material properties, and there is an emphasis on the need to calculate resistance before finding the potential difference.

mrlucky0
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Homework Statement



A bird sits on a high-voltage power line with its feet 2.0 cm apart. The wire is made from aluminum, is 3.0 cm in diameter, and carries a current of 160 A. What is the potential difference between the bird's feet?

Homework Equations



I=neAv

Where I is current, n is electrons per volume, A is cross sectional area, v is drift velocity.

V=E*D

The Attempt at a Solution



My answer is going to have units of J/C, and the cross sectional area of the wire is 1/4*Pi*(3cm)^2.

I don't know where to proceed from here.
 
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Is there anyway you can find the resistance of the wire, maybe using the area and the fact that it's made out of Aluminum?
 
G01 said:
Is there anyway you can find the resistance of the wire, maybe using the area and the fact that it's made out of Aluminum?

Thanks for helping me. Yes, I can find the resistance:

R = p*L/A
= p * (2 cm)/A

Where p for Al is 2.82E-8 ohms*m, A is the cross sectional area, 1/4*Pi*(3 cm)^2

Where to go from here?

Edit:

Oh wait a second, I = V/R so I*R=V. Is that it?
 
Last edited:
mrlucky0 said:
Thanks for helping me. Yes, I can find the resistance:

R = p*L/A
= p * (2 cm)/A

Where p for Al is 2.82E-8 ohms*m, A is the cross sectional area, 1/4*Pi*(3 cm)^2

Where to go from here?

Edit:

Oh wait a second, I = V/R so I*R=V. Is that it?

You're a good part of the way there. We want to know the potential difference between the bird's feet. You have the current given in the problem. How would you find the resistance involved?
 
mrlucky0 said:
Thanks for helping me. Yes, I can find the resistance:

R = p*L/A
= p * (2 cm)/A

Where p for Al is 2.82E-8 ohms*m, A is the cross sectional area, 1/4*Pi*(3 cm)^2

Where to go from here?

Edit:

Oh wait a second, I = V/R so I*R=V. Is that it?

Yes, once you calculate the resistance, Ohm's Law would be the way to go.
 

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