The potential difference across a resistor is measured to be V = ( 8 ± 0.5 ) V and the current through it is measured to be I = ( 2 ± 0.2 ) A , then the value of the resistance R is

V = ( 8 + 0.5 ) I = ( 2 + 0.2 ) R = 8 2 = 4 ∆ R R % = ∆ V V + ∆ I I = 0.5 8 + 0.2 2 × 100 = 16.25 % ∴ R = ( 4 ± 16.25 % )

Physics - Error Question with Solution | TestHub

PhysicsErrorMiscellaneousEasy2 minPYQ_2020

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The potential difference across a resistor is measured to be $V = (8 \pm 0.5) V$ and the current through it is measured to be $I = (2 \pm 0.2) A$ , then the value of the resistance $R$ is

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Answer:

Solution:

$V = (8 + 0.5)$

$I = (2 + 0.2)$

$R = \frac{8}{2} = 4$

$\frac{∆ R}{R} % = (\frac{∆ V}{V} + \frac{∆ I}{I})$

$= (\frac{0.5}{8} + \frac{0.2}{2}) \times 100 = 16.25 %$

$∴ R = (4 \pm 16.25 %)$

Stream:NTA_ABHYASSubject:PhysicsTopic:ErrorSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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