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Electricity and Magnetism

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Radius of Circulation of a Charged Particle in a Magnetic Field

EANDM-5ZRYAP

A charged particle of mass $m_o$, charge $q_o$, is injected into a magnetic field of strength $B_o$ with a velocity of magnitude $v_o$. The initial velocity direction is perpendicular to the direction of the magnetic field. The motion of the particle is circular with a radius $r_o$.

If another particle with $m=2m_o$, $q=2q_o$, $v=2v_o$ were injected into the same field in the same manner as the original particle, what best describes its motion?

A

Circular motion with $r=4r_o$.

B

Circular motion with $r=\cfrac{r_o}{2}$.

C

Circular motion with $r=r_o$.

D

Circular motion with $r=2r_o$.