Question

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

• A. $ 10^4 $ gauss
• B. $ 4\pi \times 10^{-3} $ gauss
• C. $ 10^2 $ gauss
• D. $ 10^{-4} $ gauss

Answer 1

Answer: (A)

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