Question

How the equation for magnetic force as F = q(v×B)​

Answer 1

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Answer:

F = ma

Answer 2

The magnetic force between two moving charges may be described as the effect exerted upon either charge by a magnetic field created by the other.

We know the Magnetic Force on a Current,

F = Bil

We know the Electric current,

i = q/t

Substitute the value of i  in the above formula,

F = Bql / t

We  know that Displacement / Time =  Velocity

But in current carrying conductors l can be displacement as it is straight ,

Now we can rewrite l/t as v ,

Now sub in the second equation,

We get,

F = qvB = q(v×B)​ = qvB sin Ф