Question

In: Physics

An aluminum rod with a square cross section is 1.2 m long and 5.0 mm on...

An aluminum rod with a square cross section is 1.2 m long and 5.0 mm on edge. (a) What is the resistance between its ends? (b) What must be the diameter of a cylindrical copper rod of length 1.2 m if its resistance is to be the same as that of the aluminum rod? The resistivity of aluminum is 2.75 × 10-8 Ω·m and the resistivity of copper is 1.69 × 10-8 Ω·m.

Solutions

Expert Solution

Consider the aluminum rod

Length,

Given that the cross-section of the rod is square

So cross-sectional area,

To convert mm² to m². Divide by 10⁶.

Resistivity,

---------

Resistance,

(a) ANSWER :

================================

(b) What must be the diameter of a cylindrical copper rod of length 1.2 m if its resistance is to be the same as that of the aluminum rod?

Consider the copper rod

Length,

Cross-section of the rod is a circle

Cross-sectional area,

Resistivity,

---------

Resistance,

To convert m to mm. Multiply by 1000.

Diameter,

ANSWER:

==============================

genius_generous answered 4 months ago

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