"A cylindrical wire of radius 0.5 mm and conductivity 5 $\times$ 107 S/m is subjected to an electric field of 10 mV/m. The expected value of current in the wire will be x3$\pi$ mA. The value of x is _________."

Question

Accepted Answer

"We know that current density,

J = $\sigma$E

$\Rightarrow$ J = 5 $\times$ 10⁷ $\times$ 10 $\times$ 10^$-$3

$\Rightarrow$ J = 50 $\times$ 10⁴ A/m²

Current flowing;

I = J $\times$ $\pi$R²

I = 50 $\times$ 10⁴ $\times$ $\pi$(0.5 $\times$ 10^$-$3)²

I = 5 $\times$ 10⁴ $\times$ $\pi$ $\times$ 0.25 $\times$ 10^$-$6

I = 125 $\times$ 10^$-$3$\pi$

$\therefore$ x = 5"

A cylindrical wire of radius 0.5 mm and conductivity 5 $\times$ 10⁷ S/m is subjected to an electric field of 10 mV/m. The expected value of current in the wire will be x³$\pi$ mA. The value of x is _________.

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A cylindrical wire of radius 0.5 mm and conductivity 5 $\times$ 107 S/m is subjected to an electric field of 10 mV/m. The expected value of current in the wire will be x3$\pi$ mA. The value of x is _________.

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A cylindrical wire of radius 0.5 mm and conductivity 5 $\times$ 10⁷ S/m is subjected to an electric field of 10 mV/m. The expected value of current in the wire will be x³$\pi$ mA. The value of x is _________.