Question

4.
An electron is moving in a circular loop of radius 10-7cm with uniform velocity of
2 x 10 to the power of 12 cm/s. The electric current produced by this electron is​

Answer 1

Given:

An electron is moving in a circular loop of radius 10-7cm with uniform velocity of 2 x 10¹² cm/s.

To find:

Current through the circuit ?

Calculation:

First of all, let's find out the time period of revolution of electron in the circular loop:

$\sf\therefore \: t = \dfrac{2\pi r}{v}$

$\sf\implies\: t = \dfrac{2 \times 3.14 \times {10}^{ - 7} }{2 \times {10}^{12} }$

$\sf\implies\: t = 3.14 \times {10}^{ - 19 } \: sec$

Now, we know that current is defined as the rate of change of charge with time :

$\sf \therefore \: i = \dfrac{q}{t}$

$\sf \implies\: i = \dfrac{1.6 \times {10}^{ - 19} }{3.14 \times {10}^{ - 19} }$

$\sf \implies\: i = 0.509 \: amp$

So, current through the circuit is 0.509 Amperes.