Question

Two charged particles move in the same direction with respect to the same magnetic field. Particle 1 travels 3 times faster than particle 2. However, each particle experiences a magnetic force of the same magnitude. Find the ratio |q₁|/|q₂| of the magnitudes of the charges.

Answer 1

and is vi ② is v₂ let's velocity of particle - Velocity of particle given (1,= BV lett magnetic field is B and dish into the page ② x x x x x x x We know that magnetic force (f=q VB sino where or angle b/w at and a In this case (o-goo , f = f , q=2, - V=V force act & Charge q, due to magnetic field B) is F = Q, V, B singoo (f = 9, V, B egn

7 тух AV2 + * lynx * * * * * also In this case Co-go] F = Fz, q=& V=V2 force act on charge a due to magnetic field B E = 2 B singo (t = 2 V ₂ B ean ® is given magnitude of magnetic force is some, so, fi af put the value off, and from egn 0 and qv, 8 = 2 V ₂ 8 9, V = 2 V₂ 2,6% V5)=9, V (V1=3 v2) given