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A rod of certain metal is 1.0 m long and...

A rod of certain metal is `1.0 m` long and `0.6 cm` in diameter. Its resistance is `3.0 xx 10&(-3)` ohm. Another disc made of the same metal is `2.0 cm` in diameter and `1.0 mm` thick. What is the resistance between the round faces of the disc?

A

`1.35 times 10^-4 Omega`

B

`2.70 times 10^-7 Omega`

C

`4.05 times 10^-6 Omega`

D

`8.10 times 10^-5 Omega`

Text Solution

AI Generated Solution

To solve the problem step by step, we will first calculate the resistivity of the metal using the given dimensions and resistance of the rod, and then use that resistivity to find the resistance of the disc. ### Step 1: Calculate the area of the rod The area \( A \) of the rod can be calculated using the formula for the area of a circle: \[ A = \pi r^2 \] where \( r \) is the radius of the rod. The diameter of the rod is given as \( 0.6 \, \text{cm} \), so the radius \( r \) is: ...
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