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A charged particle would continue to mov...

A charged particle would continue to move with a constant velocity in a region wherein,

A

`E = 0 , B ne 0`

B

`E ne 0, B ne 0`

C

`E ne 0, B = 0`

D

`E = 0 , B = 0 `.

Text Solution

Verified by Experts

The correct Answer is:
a, b, d
A charged particle q will experience an electric force in an electric field `vec E` given by:
`vecF_(E) = q vec E`
Also, if u is the velocity of particle, the magnetic force acting on the particle due to external magnetic field `vec M` is given by:
`vecF_(M) = q ( vec v xx vec B) = q vB sin theta `
Where `theta` is the angle between velocity of the charged particle `vec v` and external magnetic field `vec B`.
Even if `vec B` is not zero and `theta = 0^(@) " or " 180^(@)` ,
`vecF_(M) = 0 `
This implies the charge will continue to move with constant velocity if only `E = 0 ` .
So, options (a), (b) and (d) are correct.
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