An electron having charge 1 . 6 × 10 - 19   C and mass 9 × 10 - 31   kg is moving with 4 × 10 6   m   s - 1 speed in a magnetic field 2 × 10 - 1   T in a circular orbit. The force acting on electron and the radius of the circular orbit is _____

Question

An electron having charge 1 . 6 &#215; 10 - 19 &#160; C and mass 9 &#215; 10 - 31 &#160; kg is moving with 4 &#215; 10 6 &#160; m &#160; s - 1 speed in a magnetic field 2 &#215; 10 - 1 &#160; T in a circular orbit. The force acting on electron and the radius of the circular orbit is _____

Aicharya · Accepted Answer

Force due to magnetic field on moving charge is given by

$F = q v B$

$\Rightarrow F = 1.6 \times 10^{- 19} \times 4 \times 10^{6} \times 2 \times 10^{- 1} = 1.28 \times 10^{- 3} N$

Radius of circular path

$F = \frac{m v^{2}}{r}$

$\Rightarrow r = \frac{m v^{2}}{F} = \frac{9 \times 10^{- 31} \times {(4 \times 10^{6})}^{2}}{1.28 \times 10^{- 13}} = 1.1 \times 10^{- 4} m$

An electron having charge 1 . 6 × 10 - 19   C and mass 9 × 10 - 31   kg is moving with 4…

Solution

An electron having charge 1 . 6 &#215; 10 - 19 &#160; C and mass 9 &#215; 10 - 31 &#160; kg is moving with 4…

Solution

An electron having charge 1 . 6 × 10 - 19 C and mass 9 × 10 - 31 kg is moving with 4…