Question

Hey Guys_______________________

Q:- The Resistance R=V/I where V=(100+-5V)V and I=(10+-0.2)A.

Find the % Error in R.

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Answer 1

Answer:

r = v / i

= 100 / 10

= 10 Ω

Percentage error in r

Δr = r × [Δv/v + Δi/i] × 100

= 10 × [5/100 + 0.2/10] × 100

= 70%

Percentage error in r is 70%

[Note: We got such a huge error because absolute error of voltage is very high i.e ±5]

hope this will help u:)

Answer 2

Hey Kartik

Solution: V=(100+-5)a

I=(10+-0.2)a

R=V/I

=100/10 =10 ohm

∆R/R = +-[∆V/V +∆I/I]

=+-[5/100+0.2/10]

=+-[7/100] = +-0.07

∆R = R ×0.07 =+-0.07 ×10

=0.7 ohms

% error ∆R/R ×100

=+-0.07 ×100

=+-7%

[Hope this will right]