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Question
The force →F experienced by a particle of charge q moving with a velocity →v in a magnetic field →B is given by →F=q(→v×→B). Which pairs of vectors are always at right angles to each other?
The force →F experienced by a particle of charge q moving with a velocity →v in a magnetic field →B is given by →F=q(→v×→B). Which pairs of vectors are always at right angles to each other?
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Solution
The correct options are
B →F and →v
C →F and →B
The pairs →F,→v and →F,→B are always at right angle to each other, because →F is always perpendicular to the plane containing →B and →v. Vectors →B and →v may have any angle between them.→F=q(→v×→B)
From the defn of vector product, →F⊥→v and →F⊥→B
B →F and →v
C →F and →B
The pairs →F,→v and →F,→B are always at right angle to each other, because →F is always perpendicular to the plane containing →B and →v. Vectors →B and →v may have any angle between them.
→F=q(→v×→B)
From the defn of vector product, →F⊥→v and →F⊥→B
From the defn of vector product, →F⊥→v and →F⊥→B
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