in a simple electric circuit, the current in resistor is measured as (2.50+_0.05)mA. the resistor is marked as having a value of 4.7ohm+_2 %
if these values were used to calculate the power dissipated in the in the resistor . what would be the percentage uncertainty in the value.
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OpenStudy (anonymous):
Hint: P=VI=IR*I=I^2R
OpenStudy (anonymous):
now, Find percentage uncertanity in current
OpenStudy (anonymous):
can u?
OpenStudy (anonymous):
trying ...
OpenStudy (anonymous):
Ok. let me help: (0.05/2.50 * 100)%=
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OpenStudy (anonymous):
thats 2%..... right?
OpenStudy (anonymous):
got it ..
OpenStudy (anonymous):
Now, Total percentage error in the power calculated = 2* 2% + 2%=6%
OpenStudy (anonymous):
right?
OpenStudy (anonymous):
yes ..i did it ... :)
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OpenStudy (anonymous):
Great
OpenStudy (anonymous):
Did u understand? what I did
OpenStudy (anonymous):
yes multiplied the uncertainty which we got by solving with the uncertainty of value obtained ...right?
OpenStudy (anonymous):
Its actually because |dw:1346596889466:dw|
OpenStudy (anonymous):
So, percentage uncertainity in Power= 2 times the percentage uncertainity in Current + percentage uncertainity in resistance
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