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

Answers (1)

To convert a physical quantity from one system to other -

n_{1}\left [ u_{1} \right ]= n_{2}\left [ u_{2} \right ]

 

- wherein

n_{2}=n_{1}\left [ \frac{M_{1}}{M_{2}} \right ]^{a}\left [ \frac{L_{1}}{L_{2}} \right ]^{b}\left [ \frac{T_{1}}{T_{2}} \right ]^{c}

 

l - inductance

r - resistance

c - capacitance

v - voltage

To find \left [ \frac{l}{rCV} \right ]

So \left [ \frac{l}{r} \right ] = T..........i

[CV] = Q=AT............ii

So \left ( \frac{l}{r} \right )\times \frac{1}{CV}= \frac{T}{AT}= A^{-1}

\left [ \frac{l}{rCV} \right ]= A^{-1}

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