The power loss P in a resistor is calculated using the formula P = V²/R. The uncertainty in the potential difference V is e% and the uncertainty in R is 2%. What is the uncertainty in P?

The power loss P in a resistor is calculated using the formula P = V²/R. The uncertainty in the potential difference V is e% and the uncertainty in R is 2%. What is the uncertainty in P?

Explanation
  • Uncertainty propagation in multiplication/division follows the rule:
    ΔPP=2×ΔVV+ΔRR
  • Given uncertainty in V = e% and uncertainty in R = 2%,
    Total uncertainty=2(e)+2=8%text{Total uncertainty} = 2(e) + 2 = 8% (assuming e = 3%)