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Question

If an electron revolves in the path of a circle of radius of 0.5×1010m at a frequency of 5×1015 cycles/sec then find the electric current in the circle.

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Solution

Given: an electron revolving in the path of a circle of radius of 0.5×1010m at a frequency of 5×1015 cycles/sec
To find the electric current in the circle
Solution:
The formulas used
current=chargetime
and Time period=1frequency
and distance=2πr
According to the question, r=0.5×1010m, frequency = 5×1015 cycles/sec
Therefore, current=2πr× frequencycurrent=2×3.14×0.5×1010×5×1015current=15.7×105A
is the required electric current in the circle.

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