If a charged ion goes through combined electric and magnetic fields, the resultant emergent velocity of the ion is
Answer Details
When a charged ion passes through combined electric and magnetic fields, it experiences both electric force and magnetic force. The direction of electric force is in the direction of electric field while the direction of magnetic force is perpendicular to both the magnetic field and the velocity of the ion. The combined effect of these forces on the ion results in a curved path known as a helical path. The emergent velocity of the ion is the velocity of the ion at any given point along the helical path.
To determine the emergent velocity, we need to find the balance between the electric and magnetic forces acting on the ion. This can be done by equating the electric force and the magnetic force:
Eq1: Eq = Bqv
where E is the electric field, B is the magnetic field, q is the charge of the ion, and v is the emergent velocity of the ion.
Solving for v, we get:
v = E/B
Therefore, the resultant emergent velocity of the ion is given by the ratio of the electric field to the magnetic field, which is E/B. Hence, the correct option is "E/B".