An electron enters with a velocity `vecv=v_0hati` into a cubical region (faces parallel to coordinate planes) in which there are uniform electric and magnetic fields. The orbit of the electron is found to spiral down inside the cube in plane parallel to the x-y plane. Suggest a configuration of fields `vecE` and `vecB` that can lead to it.

An electron enters with a velocity `vecv=v_0hati` into a cubical regio

1.	An electron enters with a velocity `vecv=v_0hati` into a cubical region (faces parallel to coordinate planes) in which there are uniform electric and magnetic fields. The orbit of the electron is found to spiral down inside the cube in plane parallel to the x-y plane. Suggest a configuration of fields `vecE` and `vecB` that can lead to it.
Answer» As per question, the orbit of electron is spiral down inside the cube in a plane parallel to the x-y plane, therefore, `vecB` must be along `+z` direction, i.e., `vecB=B_0hatk`. Here the electric field should be along x-axis, i.e., `vecE=E_0hati`, where `E_0gt0`.

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