Home
Class 11
PHYSICS
Finding dimensions of resistance R and ...

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

Text Solution

Verified by Experts

Resistance, `R = (pot. Diff. V)/(current I) = (Wiq)/(I)`
`=(ML^2T^(-2))/(AT(A)) = [M L^2 T^(-3) A^(-2)]`
Inductance, L' : From `e = (LdI)/(dt)`
`L' = (edt)/(dI) = (W)/(q). (dt)/(dI) = (ML^2 T^(-2).T)/((AT)A)`
`L' = [ML^2 T^(-2)A^(-2)]`
Now, `(L')/(R ) = ([M L^2T^(-2)A^(-2)])/([M L^2 T^(-3) A^(-2)]) = T`
= time, called time constant.
and `(1)/(2) L' I^2 = (ML^2 T^(-2) a^(-2))(A^2)`
`=[M L^2 T^(-2)]` = work or energy
Promotional Banner

Topper's Solved these Questions

  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise Curiosity Questions|7 Videos

  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise Higher Order Thinking Skills|10 Videos

  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise Long Answer Questions|9 Videos

  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise multiple choice Questions|13 Videos

  • PROPERTIES OF BULK MATTER

    PRADEEP|Exercise Multiple choice questions|7 Videos

Similar Questions

Explore conceptually related problems

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

If L and R denote inductance and resistance , respectively , then the dimensions of L//R are

If L,R, C denote inductance, resistance and capacitance, respectively .Then dimensions of (1)/(R^(2)C) are

Find the dimension of the quantity L/(RCV), where symbols have usual meaning.

If L and R denote inductance and resistance respectively, then the dimension of L//R is :

Dimension of resistance in an elecatrical circuit, in terms of dimension of mass M , of length L , of time T , and of current I , would be

Which of the followin combinations have the dimensions of time? L, C, R represent inductance, capacitance and resistance, respectively. Choose the incorrect option.