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A solenoid of length 1*5m has a radius o...

A solenoid of length `1*5m` has a radius of `1*5cm` and has a total of `1500` turns wound on it. It carries a current of `3A`. Calculate the magnetic of the axial magnetic field inside the solenoid. If an electron were to move with a speed of `2xx10^4ms^-1` along the axis of the current carrying solenoid, what would be the force experienced by this electron?

Text Solution

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Here, `l=1*5cm`,
`r=1*5cm=1*5xx10^-2m`, `N=1500`,
`I=3A, v=2xx10^4ms^-1, F=?`
Axial magnetic field inside the solenoid is
`B=(mu_0NI)/(l)=((4pixx10^-7)xx1500xx3)/(1*5)`
`=3*77xx10^-3T`
Angle between the direction of motion of electron and the field, `theta=0^@`
Force on electron, `F=evBsintheta`
`=evBsin 0^@=0`
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