A) 6×10⁻⁶ Tesla's
The magnetic field strength at point P is equal to 6×10⁻⁶ Tesla's
Explanation:
Given:
[tex]1\ T = 1\ Wb/m^2[/tex] ..................................(1)
Magnetic field strength at point P = [tex]H = 6\times 10^6\ Wb/Mm^2[/tex] ...............(2)
[tex]1\ Mm = 10^6\ m[/tex] ............................................(3)
To calculate H in Tesla: ?
From equation (3), 1 mega meter is equal to 10⁶ meters. Hence, squaring (3) will give value of 1 square mega meter.
Squaring (3), we get
[tex]1\ Mm^2 = (10^6)^2\ = 10^{12}\ m[/tex] ..........................(4)
Substituting (4) in (2), we get
[tex]H = 6\times 10^6\ Wb/Mm^2 = \frac{6\times 10^6}{1\times 10^{12}}\ Wb/m^2\\\\ = 6\times10^6\times 10^{-12} = 6\times 10^{(6-12)} \\\\ H= 6\times 10^{(-6)}\ Wb/m^2[/tex]........................(5)
From (1), since 1 Tesla is equal to 1 Wb/m²; equation (5) can be rewritten as
[tex]H= 6\times 10^{(-6)}\ Wb/m^2= 6\times 10^{(-6)}\ T[/tex]
Therefore, the magnetic field strength at point P in Tesla's is equal to 6×10⁻⁶ T
