Some physics-1

Electricity and Magnetism Level 2

An electron with speed 1900000m/s, is circulating in a plane at right angles to a uniform magnetic field of 0.0001T. Determine the radius of the orbit of the electron.

14cm 11cm 13cm 12cm

Ekene Franklin by EKENE FRANKLIN , 16, Nigeria

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1 solution

Steven Chase
Sep 17, 2018

The magnetic force supplies the centripetal acceleration needed for the circular motion. q v B = m v 2 R R = m v q B = ( 9.11 × 1 0 − 31 ) × ( 1.9 × 1 0 6 ) ( 1.6 × 1 0 − 19 ) × ( 1 0 − 4 ) ≈ 10.8 cm \large{q v B = \frac{m v^2}{R} \\ R = \frac{m v}{q B} = \frac{(9.11 \times 10^{-31}) \times (1.9 \times 10^{6})}{(1.6 \times 10^{-19}) \times (10^{-4}) } \approx 10.8 \, \text{cm}}

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