Question

The electric field inside a $30cm$ long copper wire is $5.0\mathrm{mV}/\mathrm{m}$. What is the potential difference between the ends of the wire?

Short answer

The potential difference between the ends of the wire is$1.5mV.$

Step-by-step solution

Given Information

Copper wire length$=30cm$

Electric field$=5.0\mathrm{mV}/\mathrm{m}$

Explanation

The electric field can be given as,

$E=\frac{U}{d}$

Here, $d$is the distance across which the potential difference exists and $U$is the potential difference. The potential difference can be determined using our definition of the electric field, which is:

$U=Ed$

Substitute the values,

role="math" localid="1648978160272" $U=0.005mV/m\times 0.3m$

$=1.5\mathrm{mV}$

Final Answer

Hence, the potential difference between the ends of the wire is$1.5mV.$