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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.

User Bhagyesh
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2 Answers

4 votes
Here is a hint for you
P=VI=IR*I=I^2R
User Mitghi
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6.9k points
6 votes

Answer:

6%

Step-by-step explanation:

current I = 2.5±.05 mA =2.5± .05x 100/2.5 = 2.5 ± 2%

resistance R =4.7 ± 2 %

power P = I² R

ΔP/Px 100 = 2ΔI/I x 100 + ΔR/R x 100

% uncertainty in P = 2x % uncertainty in I + % uncertainty in R

% uncertainty in P =2x 2% + 2 % = 6 %

User Brooksrelyt
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7.1k points