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Stuck here, help me understand: The dimension of magnetic field in M, L, T and C (coulomb) is given as

The dimension of magnetic field in M, L, T and C (coulomb) is given as

Option 1)

MT-2C-1

Option 2)

MLT-1C-1

Option 3)

MT2C-2

Option 4)

MT-1C-1

Answers (1)
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As we learnt in

Magnetic induction(B) -

M^{1}L^{0}T^{-2}A^{-1} 

- wherein

\frac{newton }{ampere - metre },\frac{volt -second }{metre^{2}}


 

 

 Lorentz force =\left | \vec{F} \right |=\left | q\vec{v}\times\vec{B} \right |

\therefore\ [B]=\frac{[F]}{[q][v]}=\frac{MLT^{-2}}{C\times LT^{-1}}=\frac{MLT^{-2}}{CLT^{-1}}=[MT^{-1}C^{-1}]


 

 


Option 1)

MT-2C-1

This is an incorrect option.

Option 2)

MLT-1C-1

This is an incorrect option.

Option 3)

MT2C-2

This is an incorrect option.

Option 4)

MT-1C-1

This is the correct option.

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