Question

A given wire of resistance 10ohms has a length of 5m and a cross sectional area of four multiple by ten raise to power minus three meter square.Calculate the conductivity of the wire (ssce June 1995)

Answer 1

`\sigma = 125 siemens/m`

Step-by-step explanation:

Resistance, R = 10 ohms

Length, l = 5 m

Cross Sectional Area, A = 4 x 10⁻³ m²

Resistivity,
`\rho = (RA)/(l)`

`\rho = (10 * 4 * 10^(-3))/(5) \\\rho = 0.008 \Omega -m`

Conductivity = 1/Resistivity, i.e
`\sigma = 1/ \rho`

`\sigma = 1/0.008\\\sigma = 125 siemens/m`