An Electron is constrained to move along the y-axis with a speed of 0.1 c( c is the speed of light ) in the presence of electronic wave , whose electric field $\vec{E} {=30 sin(1.5×10}^{7} {t-5×10}^{-2} x)V/m.$ The maximum magnetic force experienced by the electron will be :
( Given ${C = 3×10}^{8} {ms}^{-1}$ and electron charge ${=1.6×10}^{-19} C$ )

Question

An Electron is constrained to move along the y-axis with a speed of 0.1 c( c is the speed of light ) in the presence of electronic wave , whose electric field $\vec{E} {=30 sin(1.5×10}^{7} {t-5×10}^{-2} x)V/m.$ The maximum magnetic force experienced by the electron will be :

( Given ${C = 3×10}^{8} {ms}^{-1}$ and electron charge ${=1.6×10}^{-19} C$ )

Infinity Learn · Accepted Answer

$$Bmax=EmaxC=303$$×$$108=10$$−$$7T$$​$$Fmax=qvB$$​⇒$$Fmax=1.6$$×$$10$$−$$19$$×$$0.1$$×$$3$$×$$108$$×$$10$$−$$7=4.8$$×$$10$$−$$19N$$

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