The dimensional formula of current sensitivit | vedclass

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(C) Current sensitivity $I_s$ is defined as the deflection per unit current, given by $I_s = \frac{	heta}{I} = \frac{NAB}{k}$.Here, $N$ is the number

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$[A^{-1}]$

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(C) Current sensitivity $I_s$ is defined as the deflection per unit current, given by $I_s = \frac{	heta}{I} = \frac{NAB}{k}$.Here, $N$ is the number of turns (dimensionless), $A$ is the area $[L^2]$, $B$ is the magnetic field, and $k$ is the restoring torque per unit twist.The dimensions of magnetic field $B$ are $[MT^{-2}A^{-1}]$.The dimensions of restoring torque constant $k$ are the same as torque, which is $[ML^2T^{-2}]$.Substituting these dimensions into the formula: $[I_s] = \frac{[L^2] \cdot [MT^{-2}A^{-1}]}{[ML^2T^{-2}]}$.Simplifying the expression: $[I_s] = \frac{L^2 MT^{-2}A^{-1}}{ML^2T^{-2}} = [A^{-1}]$.Thus, the dimensional formula of current sensitivity is $[A^{-1}]$.

The dimensional formula of current sensitivity of a moving coil galvanometer is

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