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An electorn moves in a circle of radius ...

An electorn moves in a circle of radius 10cm with a constant speed of `4.0xx10^(6)ms^(-1)`.Find the electric current at a point on the circle.

Text Solution

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consider a point A on the circle. The electron crosses this point once in every revolution.In one revolution, the electron travels travels `2(pi)xx(10cm)`distance. Hence, number of revolution made by the electron in one second is
`(4.0xx10^(6)m)/(20(pi)xx(10^(-2)m)=(2)/(pi)x10^(7).`
the charge crossing the point A per second is` (2)/(pi)xx10^(7)xx1.6xx10^(-19)C=3.2/(pi)xx10^(-12)C`.thus the electric current at this point is
`3.2/(pi)xx10^(-12)A~~1.0xx10^(-12)A.`
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Knowledge Check

  • An electron of mass 0.90 xx 10^(-30) kg under the action of a magnetic field moves in a circle of 2.0 cm radius at a speed 3.0 xx 10^6 ms^-1 . If a proton of mass 1.8 xx 10^(-27) kg was to move in a circle of the same radius in the same magnetic field, then its speed will be

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