2. A current of 3.5 ± 0.5 A flows through metallic conductor with a potential difference of 21 ± 1 V is applied. Find the resistance of the wire.
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Given V = 21 + 1 volts
∆V = 1
l = 3.5 + 0.5 A and ∆l = 0.5A
=) Resistance R = V/l
= 21 + 1 / 3.5 + 0.5 = 6 + ∆R
∆R / R = error in measurement =
∆V / V +∆| / |
= 1/21 + 0.5/ 3.5
= 0.048 + 0.143
= 0.191 = 0.19
=} ∆R = 0.19 × R
= 0.19 × 6
=) 1.14
•: Effective resistance R = 6+ 1.14
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