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A beam of light travelling along x-axis ...

A beam of light travelling along x-axis is described by the magnetic field, `B_z=5xx10^-9Tsin omega (t-x//c)`
Calculating the maximum electric and magnetic forces on a charge, i.e. alpha particle
moving along y-axis with a speed of `3xx10^7m//s`, charge on electron =`1.6xx10^-19C`

Text Solution

Verified by Experts

Here, Maximum magnetic field,
`B_0=5xx10^-9T,`
charge on alpha particle , q+2e
`=2xx1.6xx10^-19=3.2xx10^19C,`
`v=3xx10^7ms^-1`
Maximum electric field,
`E_0=cB_0=(3xx10^8)xx(5xx10^-19)=150Vm^-1`
Maximum force on alpha particle due to electric
field `=qxxE_0=(3.2xx10^-19)xx150`
`=4.80xx10^-17N`
Force on alpha particle due to magnetic field
`=qvB_0=(3.2xx10^-19)xx(3xx10^7)xx(5xx10^-9)`
`4.80xx10^-19N`
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