consider a 32m-long cable with cross sectional area of 2 x 10^-6 m^2 that carrie

Question

consider a 32m-long cable with cross sectional area of 2 x 10^-6 m^2 that carries a current density of 12500 a/m^2 when 220v are applied, calculate current, resistance, conductivity, resist ivory consider a 32m-long cable with cross sectional area of 2 x 10^-6 m^2 that carries a current density of 12500 a/m^2 when 220v are applied, calculate current, resistance, conductivity, resist ivory consider a 32m-long cable with cross sectional area of 2 x 10^-6 m^2 that carries a current density of 12500 a/m^2 when 220v are applied, calculate current, resistance, conductivity, resist ivory

Explanation / Answer

1) current density = J= I/A = 12500 A/m^2

given cross sectional area of 2 x 10^-6 m2

so, I = JA= 2 x 10^-6 * 12500= 0.025 A

2) resistance = V/I = 220/0.025 =8800 ohms

3)resistance = rho * l/A

= > rho = resistance * A /l

= 8800x 2 x 10^-6 / 32

=0.00055 ohm-m

4)conductivity = 1/rho

= 1/0.00055 = 1818.18 seimens

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