Question

If Iron man’s particle accelerator has a radius $\frac{1}{\pi }$ meters and ${10}^{11}$ electrons flow with $2\times {10}^8$ $\frac{m}{s}$ speed in the anticlockwise direction, then find the current in the circuit and also its direction.

• A. 1.6 A, clockwise
• B. 1.6 A, anticlockwise
• C. 8 A, clockwise
• D. 2 A, anticlockwise

Answer 1

The correct option is A

1.6 A, clockwise

Distance to be covered = Circumference of the circular path = 2$\pi$r = 2$\pi \times \frac{1}{\pi }$ = 2 m

Time taken, t = $\frac{2}{2\times {10}^8}$ = ${10}^{-8}$ s

We know that, I = $\frac{ne}{t}$

= $\frac{{10}^{11}\times 1.6\times {10}^{-19}}{{10}^{-8}}$ = 1.6 A

The direction of current is opposite to direction of flow of electrons. So current is clockwise.