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Let the inductance and resistance be denoted by 'L' and 'R' respectively. The dimensions of LR(LR) are ____________.

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Question

Let the inductance and resistance be denoted by 'L' and 'R' respectively. The dimensions of `("L"/"R")` are ____________.

Options

  • `["L"^0 "M"^0 "T"^1]`

  • `["L"^0 "M"^0 "T"^0]`

  • `["L"^1 "M"^0 "T"^1]`

  • `["L"^0 "M"^1 "T"^0]`

MCQ
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Solution

Let the inductance and resistance be denoted by 'L' and 'R' respectively. The dimensions of `("L"/"R")` are `["L"^0 "M"^0 "T"^1]`.

Explanation:

`e = "L" "di"/"dt"       therefore "e.dt"/"di"`

`"R" = "e"/"i"`

`therefore "L"/"R" = "e" "dt"/"di" xx "i"/"e"`

`therefore "L"/"R"  "will have dimensions of time"`

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Types of AC Circuits
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