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At a place a uniform electric field and a uniform magnetic field are in the upward direction. There an electron moves in the downward direction. Hence this electron ______.

Asked in GSEB Board March 2019 · Crossed electric and magnetic fields

Answer: (3) will gain velocity

Step-by-step solution

Given: ⃗E and ⃗B both point upward; an electron travels downward.

Idea: use the Lorentz force ⃗F=q⃗E+q(⃗v×⃗B) with q=-e, and take the two parts separately.

Magnetic part: ⃗v is antiparallel to ⃗B, so ⃗v×⃗B=0 — no magnetic force, and therefore no bending.

Electric part: on a negative charge the force is opposite to ⃗E, so it points downward.

That force lies along the electron's own motion, so it does positive work and the electron gains speed.

Why the other options are wrong

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