Verified Solution • 2025–26 Session moderate

QJEEM12Phd14e: JEE Main 2012 Physics - Class 11 JEEM12Phd14e Solution: Resistance of a given wire is obtained by measuring the current …

Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are 3% each, then error in the value of resistance of the wire is

Multiple Choice Options

  • A 6%
  • B zero
  • C 1%
  • D 3%

Step-by-Step Verified Solution

We know R = VI{V \over I}

∴\therefore ΔRR=ΔVV+ΔII{{\Delta R} \over R} = {{\Delta V} \over V} + {{\Delta I} \over I}

Percentage error in R =

ΔRR×100=ΔVV×100+ΔII×100{{\Delta R} \over R} \times 100 = {{\Delta V} \over V} \times 100 + {{\Delta I} \over I} \times 100

∴\therefore ΔRR×100={{\Delta R} \over R} \times 100 = 3% + 3 % = 6%

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