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A charge particle moving in magnetic field B, has the components of velocity along B as well as perpendicular to B. The path of the charge particle will behelical path with the axis perpendicular to the direction of magnetic field Bhelical path with the axis along magnetic field Bcircular pathstraight along the direction of magnetic field B

Question

A charge particle moving in magnetic field B, has the components of velocity along B as well as perpendicular to B. The path of the charge particle will behelical path with the axis perpendicular to the direction of magnetic field Bhelical path with the axis along magnetic field Bcircular pathstraight along the direction of magnetic field B

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Solution

The path of the charged particle will be a helical path with the axis along the magnetic field B.

Here's why:

When a charged particle moves in a magnetic field, it experiences a force known as the Lorentz force. This force has two components: one parallel to the magnetic field and one perpendicular to it.

The component of the velocity parallel to the magnetic field does not change because the magnetic field exerts no force in that direction. This means the particle will continue to move in a straight line along the direction of the field.

The component of the velocity perpendicular to the magnetic field, however, does change. The magnetic field exerts a force that is always perpendicular to this component of the velocity, causing the particle to move in a circular path.

The combination of these two motions - straight along the field and circular around it - results in a helical path. The axis of the helix is along the direction of the magnetic field B.

This problem has been solved

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