For a block with dlmensions ` 1 cm xx 1 cm xx 100 cm ` havng resistivity `3 xx 10^(-7) Omega`m, find its resistance between two rectangular sides.

Options

A. `3 xx 10^(-9) Omega`
B. `3 xx 10^(-7) Omega`
C. `3 xx 10^(-5) Omega`
D. `3 xx 10^(-3) Omega`

Answer

C

Explanation

`3 xx 10^(-5) Omega`
Area of rectangular cross section
A = 1 `xx 100 cm^(2)`
`= 100 cm^(2)`
`= 10^(-2) m^(2)`

Resistance R` = (rho l)/(A) = (3 xx 10^(-7) xx 1)/(10^(-2))`
= 3 ` xx 10^(-5) Omega`