Identifying each type of field question (A-Level) Watch

Jian17
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https://gyazo.com/a5a318858f80ed0517e5127725e08bbc

Good night, could someone explain me this question please, thanks.
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Callicious
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Just consider the cases where forces act. Here are some random vector equations for the forces you seek...

Lorentz (Magnetic and Electric)

F = q v x B + q E

Where B and E are the fields and v is the velocity of the single particle in the EM field. You can proceed to extract the angle dependency if you remember your dot/cross product rules.

Gravitational (Not really relevant here, but hey)

F = m g

Where g refers to the gravitational field at that point (force per unit mass, field strength would be a wiser choice of words...) which acts toward the centre of mass of the attracting body.

I'll state the dot/cross product rules here...

a.b = |a||b|cos(d) where d is the angle subtending a and b
axb = |a||b|sin(d)n where n is a normal vector acquired through the RH-rule, folding a in on b for the direction. Google "Right Hand Rule" for this.

Since you just want the dependency on angles for your question, you can just go ahead and consider the cos(d) and sin(d) terms.
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