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Question

Physics Question on Magnetic Field

1Wb/m21\,Wb/m^2 is equal to :

A

10410^4 gauss

B

4π×1034\pi \times 10^{-3} gauss

C

10210^2 gauss

D

10410^{-4} gauss

Answer

10410^4 gauss

Explanation

Solution

In CGS system, the magnetic field is expressed in gauss.
If a charge of 1C1 C moving with a velocity of 1m/s1 m / s perpendicular to a uniform magnetic field experiences a force of 1N1 N, then the magnitude of the field is 1T1 T. The SI unit of magnetic field is Wbm2Wb \,m ^{-2}. Thus,
1T=1NA1m1=1Wbm21 \,T =1 \,NA ^{-1} \,m ^{-1}=1 \,Wb\, m ^{-2}
In CGS systems
1 tesla =104=10^{4} gauss =1Wbm2=1 \,Wb \,m ^{-2}