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Question

A resistor has a nominal value of 10Ω±0.1% . A voltage is applied across the resistor and the power consumed in the resistor is calculated as
P=EI
If the measured values of E and I are:
E=100V±1% and I=10A±1% , then the uncertainity in the power determination is ± ____ %.

A
1.414
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B
1
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C
0.414
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D
2.414
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Solution

The correct option is A 1.414
P=EI

PE=IandPI=E

Percentage uncertainty in power measurement is

ωPP×100=1P(PE)2ω2E+(PI)2ω2I×100

=1PI2ω2E+E2ω2I×100

=(ωEE)2+(ωII)2×100

=(0.01)2+(0.01)2×100=±1.414%


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