cam someone explain me....how they calculated???
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Answer:
explanation given below.
Explanation:
[tex]\frac{C^2}{Nm^2} =\frac{A^2 s^2}{kg m s^{-2}m^2} =A^2 s^4kg^{-1}m^{-3}[/tex]
In deriving this, recall the fact, Charge= Current × Time
i.e.,
C =A s
Also [tex]N=kg\,ms^{-2}[/tex]. This follows from Force = mass × acceleration.
Now,
Consider the Lorentz force experienced by a charge in a magnetic flux density B.
F=q(v × B)= q v B when v and B are perpendicular.
So we see that B=F/qv
i.e,
T= N/(C (m/s))=Ns/(Cm).
So
[tex]\frac{Tm}{A} =\frac{Ns}{Cm} \frac{m}{A} =\frac{kg \,m\,s^{-2}s}{As \, mA} =kg\, m \,s^{-2}A^{-2}[/tex]
So
[tex]\frac{C^2}{Nm^2}\frac{Tm}{A} =A^2 s^4kg^{-1}m^{-3}kg\, m \,s^{-2}A^{-2}=s^2m^{-2}\\[/tex]
So,
[tex]\frac{1}{\sqrt{\frac{C^2}{Nm^2}\frac{Tm}{A}}} =m/s[/tex]
So we obtained the unit m/s