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Electricity and Magnetism

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Moderate

Magnetic and Electric Fields in Circular Charge Motion

EANDM-HOGJYB

A charge $q_o$ and mass $m_o$ is in orbit around around a fixed charge $Q$, with a velocity $v_o$ and radius $r_o$.

What would be the value of the static magnetic field for which the charge $q_o$ would undergo circular motion with the same radius and velocity?

A

$B = \cfrac{m_o^2 v_o^2}{4 \pi Q q_o }$

B

$B = \cfrac{4 \pi m_o v_o^2}{Q q_o }$

C

$B = \cfrac{4 \pi m_o ^2 v_o^3}{Q q_o ^2}$

D

$B = \cfrac{ m_o ^2 v_o^2}{4 \pi Q q_o ^2}$