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The resistance of a metal is given by R = V/I, where V is potential difference and I is the current. In a circuit, the potential difference across resistance is V=(8±0.5)V and current in resistance, I=(4±0.2)A. What is the value of resistance with its percentage error?

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a

(2±5.6%)Ω

b

(2±0.7%)Ω

c

(2±35%)Ω

d

(2±11.25%)Ω

answer is D.

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Detailed Solution

R=VI=84=2Ω ΔRR×100=ΔVV×100+ΔII×100=0.58×100+0.24×100=11.25%⇒ R=(2±11.25%)Ω

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The resistance of a metal is given by R = V/I, where V is potential difference and I is the current. In a circuit, the potential difference across resistance is V=(8±0.5)V and current in resistance, I=(4±0.2)A. What is the value of resistance with its percentage error?