First slide

Magnetic field due to a moving charge

Question

In hydrogen atom, an electron is revolving in the orbit of radius $0 .53 \overset{o}{A}$ with $6.6 \times 10^{15}$ rotations/second. Magnetic field produced at the centre of the orbit is

Moderate

A

0.125 Wb/m²
B

1.25 Wb/m²
C

12.5 Wb/m²
D

125 Wb/m²

Solution

$B = \frac{μ_{0}}{4 π} . \frac{2 π (q f)}{r}$
$\begin{array}{l} = 10^{- 7} \times \frac{2 \times 3 .14 \times (1 .6 \times 10^{- 19} \times 6 .6 \times 10^{15})}{0 .53 \times 10^{- 10}} \\ = 12 .5 Wb / m^{2} \end{array}$

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