Explanation Given: Current - I = 20A The diameter of the circulating beam - d = 72m The velocity of air - v = 3×10 8 m/s The charge on the electron - q e =1 .6×10 -19 C Formula used: The total amount of charge in the beam is expressed by the current formula − I = ΔQ Δt Where, The total amount of charge − ΔQ Current passing through the beam − I Time - Δt The formula of speed is given by − v = D Δt Speed of air − v Distance - D The time - Δt The number of present electrons is given by the following relation − ΔQ= nq e Where, The total number of electrons- n The charge on the electron - q e Calculation: We know that, The current passing through the circulating beam is by − I = ΔQ Δt ........................... ( 1 ) And the relation between the speed, distance and the time is given by − v = D Δt ........................... ( 2 ) But Distance D is given by D = πd So, put the value of D in the equation ( 2 ) , we get − v = πd Δt On rearranging the above equation to get the value of time Δt - Δt = πd v ..........................

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ISBN: 9781947172173

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Publisher: OpenStax College

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Microscopic view of current

In physics, the term current is expressed as the rate of flow of electric charges across the area per unit time (I=q/t). It propagates along in the direction of the motion of positive charges. When the current is caused by the motion of electrons, the di…

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Chapter 20, Problem 17PE

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The number of electrons present in the circulating beam.

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The number of electrons present in the circulating beam.

Solution Summary: The author calculates the number of electrons present in the circulating beam. The current passing through the beam is given by the following formula.

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