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24 January, 09:03

Two resistors have resistances R1 = (24 + - 0.5) ohm and R2 = (8 + -0.3) ohm. Calculate the absolute error and the percentage relative error in calculating the combination of two resistances when they are in parallel.

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  1. 24 January, 10:50
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    Absolute error=0.006

    Percentage Relative error=0.6

    Explanation:

    The resistors have resistance of 24 ohm and 8 ohm.

    The change in resistance is 0.5 and 0.3 ohm respectively.

    Relative error for parallel combination of resistors is

    = dR/R²

    = dR1/R1² + dR2/R2²

    = 0.5 / (24) ² + 0.3 / (8) ²

    = 0.5 / 24*24 + 0.3 / 64

    = 0.5/576+0.3 / 64

    = 32 + 172.8 / 36,864

    =204.8 / 36,864=0.0055

    =0.006

    Percentage error = Relative error * 100

    = 0.006 * 100 = 0.6
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