Magnetic field due to currentHard
Question
An ionzed gas contains both positive and negative ions. If it is subjected simulaneously to an electric field along the +x-direction and a magnetic field along the +z-direction, then
Options
A.positive ions deflect towards +y- direction and negative ions towards - y-directions
B.all ions deflect towards +y- direction
C.all ions deflect towards - y- direction
D.positive ions deflect towards - y- direction and negative ions towards - y-directions
Solution
We can write 
and 
Velocity of the particle will be along q.
direction.
Therefore, we can write
= AqE
In
, 
and 
, A, E and B are positive constanmt while q can be positive or negative.
Now, magnetic force on the particle will be
= q2AEB
= q2AEB 
Since, is along negative y-axis, no matter what is the sign of charge q. Therefore, all ions will deflected towards negative y-direction.
and Velocity of the particle will be along q.
direction. Therefore, we can write
= AqEIn
, and , A, E and B are positive constanmt while q can be positive or negative.Now, magnetic force on the particle will be
= q2AEB
= q2AEB Since,
is along negative y-axis, no matter what is the sign of charge q. Therefore, all ions will deflected towards negative y-direction.Create a free account to view solution
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