Moderate# Current Due to an Electric Field

EANDM-HRMIHY

Figure 1 depicts a wire aligned along the $\hat{z}$-axis, whose cross-section has a radius of $r = 2.68 \text{ mm}$.

The conductance of the wire is equal to:

$$\sigma = 3.20 \times 10^4 \; \rm{\frac{siemens}{m}}$$

An electric field exists in this region, which is given by:

$$\vec{E} = a\hat{x} + b\hat{y} + c\hat{z}$$

…where:

- $a = 3.50 \; \rm{\cfrac{N}{C}}$
- $b = 4.60 \; \rm{\cfrac{N}{C}}$
- $c = 7.90 \; \rm{\cfrac{N}{C}}$

What is the current passing through this wire due to the electric field?