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The resistance of a metal is given by R = V/1, , where V is potential difference and 1 is the current. In a circuit the potential difference across resistance is V = (8 + 0.5) V and current in resistance, I = (2 + 0.2)A. What is the value of resistance with its percentage error?
(a) 4W + 16.25%
(b) (4 + 0.7)W
(c) 4W + 0.7%
(d) 4W + 7%
(a) Actual R = 8/2 = 4 % error in R = % error in V + % erro in 1 = 0.5/8×100%+0.2/2×100%=16.25% R = 4W + 16.25%
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