Final answer:
In a region with a uniform electric field and a uniform magnetic field, the electric field can be calculated using the equation E = UB, where E is the electric field, U is the potential energy, and B is the magnetic field.
Step-by-step explanation:
In a region with a uniform electric field and a uniform magnetic field, if an electron travels without being deflected, the electric field can be calculated using the equation E = UB, where E is the electric field, U is the potential energy, and B is the magnetic field.
Given the magnetic field B = (1.0Î – 2.0ĵ + 4.0Â) × 10-²T, we can substitute the values into the equation to determine the electric field. Since the magnetic field is uniform, the electric field will also be uniform across the region.
By substituting the values into the equation, we have E = (1.0Î – 2.0ĵ + 4.0Â) × 10-²T.