Formula for Linear mA to Square root mA conversion

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This formula used to convert transmitter Linear ma to Square root ma conversion.Calculating the equivalent Square root ma for any given Linear ma.

Formula for Linear ma to Square root ma conversion

Formula for Linear mA to Square root mA conversion

Formula:

Square root mA = { √ [(X-4)/16] } .16 + 4

Where

X is Linear ma Value

Example:

Convert 12 mA linear to square root mA

Square root mA = { √ [(X-4)/16 ] } .16 + 4

Enter 12 in place of ‘X’

Square root mA = { [ Sqrt (12-4)/16 ] x 16 } + 4

Square root mA = { [ Sqrt (8)/16 ] x 16 } + 4

Square root mA = { [ Sqrt 0.5 ] x 16 } + 4

Square root mA = { 0.707 x 16 } + 4

Square root mA = 11.313 + 4

Square root mA = 15.313 mA

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9 thoughts on “Formula for Linear mA to Square root mA conversion”

  3. Dear Sir

    (First of all I am sorry if I am wrong)

    with due respect I would like to draw your attention on the formula
    ” Formula for Linear ma to Square Root ma Conversion”
    what you have written is
    Square root ma = square root of ((X-4)/16) x 16)+4

    from my point of view it should be square root of ((X-4) x 16)+4

    once again I am sorry if I am wrong …. but please correct me.

    Reply

      • Hello Sir,

        for Linear 8 ma, If I use the first formula mentioned above
        Square Root ma = square root of ((X-4)/16) x 16)+4
        =Square root of ((8-4)/16)x 16)+4
        =Square root of ((4/16)x 16)+4
        =Square root of ((1/4)x 16)+4
        =Square root of 4 + 4
        =2 + 4
        =6

        For Linear 8 ma, if I use the second formula
        Square root ma = Square root of ((X-4)x 16) +4
        =Square root of ((8-4)x 16)+4
        =Square root of ((4)x 16)+4
        =Square root of (64) +4
        =8+4
        =12

        For your kind information, I already checked the second formula with all the Linear Value from 4 – 20 ma.

        In the first formula if i am doing anything wrong, Please let me know.
        Thank you so much for your prompt response.

        Reply

        • Hello Ashraf,
          for Linear 8 ma, If I use the first formula mentioned above
          Square Root ma = [[square root of ((X-4)/16)] x 16]+4
          = [[Square root of ((8-4)/16)] x 16]+4
          =[[Square root of (0.25)] x 16]+4
          = [ 0.5 x 16 ] + 4
          = 8 + 4
          = 12

          Seems brackets are needed, so little bit confusing. Thanks.

          Also you can use online tools. click here

          Reply

  5. Sir,
    Hello sir sorry I cannot get the exact answer (15.3137)

    Here’s what i do:
    12-4√8÷16+4= 15.2928
    Kindly share how you get the 15.31

    Thanks
    Ronnie Robiño

    Reply

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