A beam of light travelling along $$x-axis$$ described by the magnetic field, $$Bz=5$$×$$10$$−$$10sinw(t$$−$$Xc)T$$ . Calculate the maximum magnetic force on alpha particle, moving along $$y-axis$$ with a speed of $$3$$×$$107m/s$$. Charge on electron is $$1.6$$×$$10$$−$$19C$$.

Question

A beam of light travelling along $$x-axis$$ described by the magnetic field, $$Bz=5$$×$$10$$−$$10sinw(t$$−$$Xc)T$$ . Calculate the maximum magnetic force on alpha particle, moving along $$y-axis$$ with a  speed of  $$3$$×$$107m/s$$. Charge on electron is  $$1.6$$×$$10$$−$$19C$$.

Infinity Learn · Accepted Answer

Force on the alpha particle due to magnetic field is $$F=qvB$$ $$sin$$(90o) Given : $$Bz=5$$×$$10$$−$$10sinw(t$$−$$xc)T$$ Comparing with $$Bz=Bosinw(t$$−$$xc)T$$ ∴$$Bo=5$$×$$10$$−$$10T$$ Hence,  F $$=$$ qvB      [Charge on alpha particle $$=$$ $$+2e$$] ⇒$$F=2$$×$$1.6$$×$$10$$−$$19$$×$$3$$×$$107$$×$$5$$×$$10$$−$$10$$ ⇒$$F=48$$×$$10$$−$$22N$$

A beam of light travelling along x-axis described by the magnetic field, $B_{z} = 5 \times 10^{- 10} \sin w (t - \frac{X}{c}) T$ . Calculate the maximum magnetic force on alpha particle, moving along y-axis with a speed of $3 \times 10^{7} m / s$ . Charge on electron is $1.6 \times 10^{- 19} C$ .

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A beam of light travelling along x-axis described by the magnetic field, Bz=5×10−10sinw(t−Xc)T . Calculate the maximum magnetic force on alpha particle, moving along y-axis with a speed of 3×107m/s. Charge on electron is 1.6×10−19C.

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A beam of light travelling along x-axis described by the magnetic field, $B_{z} = 5 \times 10^{- 10} \sin w (t - \frac{X}{c}) T$ . Calculate the maximum magnetic force on alpha particle, moving along y-axis with a speed of $3 \times 10^{7} m / s$ . Charge on electron is $1.6 \times 10^{- 19} C$ .