Such a field is proposed as a funnel to gather protons and electrons from interstellar space as fuel for a fusion engine. There would be a coil of wire oriented in a plane perpendicular to the direction of travel, with the spaceship at the center. Sort of like the Earth tilted on its side. Any charged particle would see the field lines as a funnel, causing it to spiral towards the center where they would all gather together, forcing the atoms closer together. Then they could be collected somehow. There are not many atoms in between stars, only about 10^6 per cubic meter. When you consider a mole of hydrogen, 1 gram, has 6e23 atoms, you have to sweep an very large area to collect a tiny bit of material. The scoop would have to sweep a one meter square 6e17 meters to collect one gram of fuel. It is only 4e16 meters to Proxima Centauri.
Intergalactic space only has one atom per cubic meter.
If a one square meter collecter was sent to the Andromeda galaxy, 2.5 million light years away, it would collect but 40 milligrams of hydrogen. This is why space is so clear.