Answer to Question #127929 in Physics for jega

Question #127929

How to calculate period in magnetic field?


1
Expert's answer
2020-07-29T10:30:52-0400

If we have a charged particle in a magnetic field, then the period of its rotation can be determined using Newton's second law


T=2πR/vT=2\pi R/v


F=maqvBsinα=mv2sin2αRF=ma\to qvB\sin\alpha=m\frac{v^2\cdot \sin^2\alpha}{R} \to


v=qBRmsinαv=\frac{qBR}{m\sin\alpha}


Finally


T=2πRmsinαqBR=2πmsinαqB.T=\frac{2\pi Rm\sin\alpha}{qBR}=\frac{2\pi m\sin\alpha}{qB}. Answer








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