1.

Finding dimensions of resistance R and inductance L, speculate what physical quantities `(L//R) and (1)/(2)LI^2` represent, where I is current?

Answer» The dimensions of R and L are :
`R = [M^1L^2 T^(-3)A^(-2)]`
and `L= [ML^2 T^(-2)A^(-2)]`
Now, `(L)/(R ) = (ML^2T^(-2) A^(-2))/(ML^2 T^(-3)A^(-2)) = T^1`
it represents time constant of RL cirucit.
Again `(1)/(2)LI^2 = [ML^2 T^([email protected])A^(-2)]xxA^2`
`=[M^1 L^2 T^(-1)]`
it represents (magnetic) energy stored in an
inductor.


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