An electron moves in a circle of radius of with a constant speed of , electric current at a point on the circle will be: ()
Step 1: Given data
Radius of circle,
Speed of the electron,
Charge of the electron,
Step 2: Formulas used
Circumference of a circle, , where is the radius of the circle.
Speed, , where is the distance traveled and is the time taken.
Current, , where is the charge passing through a point and is the time taken for the charges to pass through the point.
Step 3: Calculate current
From the formula for the circumference of a circle, we can find the distance traveled by the electron. Thus, the distance traveled by it is,
Substituting the values for the respective terms in the formula for speed, we get that the time taken by the electron to complete one revolution in the circle is,
From the formula for calculating current, we get that,
Therefore, the current at a point on the circle is .