Question

if r and l denote resistance and inductance respectively which of thevfollowing has dimension of time?​

Answer 1

Answer

AnswerThe time constant of a series LR circuit is given as

AnswerThe time constant of a series LR circuit is given as R/L .

L .The time constant of inductance is :

L .The time constant of inductance is :[L]=[ML 2 T −2 A −2 ]

T −2 A −2 ]On the other hand, the dimension of resistance is: [R]=[ML 2 T −3 A −2 ]

Time constant has the dimension the same as that of time

Time constant has the dimension the same as that of timeTime constant =

Time constant has the dimension the same as that of timeTime constant = R/L = [ML 2 T −3 A −2 ][ML 2 T −2 A −2]

L = [ML 2 T −3 A −2 ][ML 2 T −2 A −2]

L = [ML 2 T −3 A −2 ][ML 2 T −2 A −2]

L = [ML 2 T −3 A −2 ][ML 2 T −2 A −2] So, option B has the dimension of time.

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