Electric field and magnetic field in a region of space is given by E-Eo- and B-Bo-A particle of specific charge - is released from origin with velocity v-vo-Then path of particle- Note- Eo-Bo and vo are constant values-

The correct option is B is a helix with non uniform pitchElectric field (acting along ĵ direction) will change the velocity component which is parallel t ...

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Standard XII

Physics

The Circular Motion

Electric fiel...

Question

Electric field and magnetic field in a region of space is given by $\to E = E_{o}^j$ and $\to B = B_{o}^j$ .A particle of specific charge $α$ is released from origin with velocity $\to v = v_{o}^i$ .Then path of particle.
Note- $E_{o}, B_{o}$ and $v_{o}$ are constant values.

is a circle

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is a helix with uniform pitch

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is a helix with non-uniform pitch

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is cycloid

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Solution

The correct option is B is a helix with non-uniform pitch
Electric field (acting along $^j$ direction) will change the velocity component which is parallel to $\to B$ (which is also along $\to j$ direction).
$\to B = B_{o}^j$ and $\to v = v_{o}^j$ will rotate the particle in a circle.
Hence the net path is helical with variable pitch.

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Electric field and magnetic field in a region of space is given by →E=Eo^j and →B=Bo^j.A particle of specific charge α is released from origin with velocity →v=vo^i.Then path of particle. Note- Eo,Bo and vo are constant values.

Electric field and magnetic field in a region of space is given by $\to E = E_{o}^j$ and $\to B = B_{o}^j$ .A particle of specific charge $α$ is released from origin with velocity $\to v = v_{o}^i$ .Then path of particle.
Note- $E_{o}, B_{o}$ and $v_{o}$ are constant values.