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Question

The resistance R=VI, where V=100±5 volts and I=10±0.3 amperes. Calculate the percentage error in R.

A
8 %
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B
10 %
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C
12 %
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D
14 %
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Solution

The correct option is A 8 %
As given:
R=VI
Using formula for relative error:
ΔRR=ΔVV+ΔII

Here, V=100 V, ΔV=5 V and
I=10 A, ΔI=0.3 A

ΔRR=5100+0.310
ΔRR=0.05+0.03=0.08
Percentage Error:
ΔRR×100=8 %

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