The dimension of magnetic induction can be written as
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \( [M^{1}L^{0}T^{-2}A^{-1}] \)
Magnetic induction \( B \) is defined through the magnetic (Lorentz) force on a moving charge, \( F = qvB \) for velocity perpendicular to the field.
\( \displaystyle B = \frac{F}{qv} \)
\( [F] = [MLT^{-2}] \)
\( [q] = [AT] \)
\( [v] = [LT^{-1}] \)
\( \displaystyle [B] = \frac{[MLT^{-2}]}{[AT][LT^{-1}]} = [M^{1}L^{0}T^{-2}A^{-1}] \)
The same result follows from the unit: \( 1\,\mathrm{T} = 1\,\mathrm{N\,A^{-1}\,m^{-1}} \), and \( \mathrm{N\,A^{-1}\,m^{-1}} = \mathrm{kg\,m\,s^{-2}\,A^{-1}\,m^{-1}} = \mathrm{kg\,s^{-2}\,A^{-1}} \).
NCERT (2026-27):
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