# A long wire that is at rest in the Farth reference frame initially carries no current. Observer

## Question:

A long wire that is at rest in the Farth reference frame initially carries no current. Observer \(\mathrm{E}\) in this reference frame measures linear charge densities of \(\lambda_{\mathrm{En}}=\) \(45.00 \mu \mathrm{C} / \mathrm{m}\) for the (negative) electrons in the wire and \(\lambda_{\mathrm{Ep}}=60.00 \mu \mathrm{C} / \mathrm{m}\) for the positive ions. A current is created as electrons are made to move through the wire at speed \(v\), and observer \(\mathrm{M}\) moves along with the electrons at their speed \(v\). What value must \(v\) have in order for \(\mathrm{M}\) to measure an electric field of magnitude \(E=3.00 \times 10^{7} \mathrm{~N} / \mathrm{C}\) at a distance \(0.0100 \mathrm{~m}\) above the wire?

Fantastic news! We've Found the answer you've been seeking!

## Step by Step Answer:

**Related Book For**