Let L, R, C and V represent inductance,resist | vedclass

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Question

(B) We know that the time constant of an $LR$ circuit is $	au = \frac{L}{R}$,which has the dimension of time $[T]$.Also,the time constant of an $RC$

Vedclass · Accepted Answer

$[M^0 L^0 T^0 A^{-1}]$

Vedclass · Answer

(B) We know that the time constant of an $LR$ circuit is $	au = \frac{L}{R}$,which has the dimension of time $[T]$.Also,the time constant of an $RC$ circuit is $	au = RC$,which has the dimension of time $[T]$.Therefore,the expression $\frac{L}{RCV}$ can be rewritten as $\frac{L/R}{CV} = \frac{	au}{CV}$.Since $Q = CV$,where $Q$ is charge,we have $\frac{L}{RCV} = \frac{L/R}{Q} = \frac{[T]}{[AT]} = [A^{-1}]$.Thus,the dimension is $[M^0 L^0 T^0 A^{-1}]$.

Let $L, R, C$ and $V$ represent inductance,resistance,capacitance,and voltage,respectively. The dimension of $\frac{L}{RCV}$ in $SI$ units will be:

Similar Questions

Which two of the following five physical parameters have the same dimensions $?$
$(1)$ energy density
$(2)$ refractive index
$(3)$ dielectric constant
$(4)$ Young's modulus
$(5)$ magnetic field

Which relation is wrong?

Which of the following does not have the same unit as the others?

Fill in the blanks by suitable conversion of units:
$(a)$ $1\; kg\; m^{2}\; s^{-2} = \ldots\; g\; cm^{2}\; s^{-2}$
$(b)$ $1\; m = \ldots\; ly$
$(c)$ $3.0\; m\; s^{-2} = \ldots\; km\; h^{-2}$
$(d)$ $G = 6.67 \times 10^{-11}\; N\; m^{2}\; kg^{-2} = \ldots\; cm^{3}\; s^{-2}\; g^{-1}$

$M{L^{ - 1}}{T^{ - 2}}$ represents:

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