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NEET
Exam
NEET
Subject
Physics
Chapter
Mathematics in Physics

NEET · Physics · Mathematics in Physics

Two resistors have resistances R_1 = (100 ± 3) \, and R_2 = (200 ±...

Two resistors have resistances R1=(100±3) ΩR_1 = (100 \pm 3) \, \Omega and R2=(200±4) ΩR_2 = (200 \pm 4) \, \Omega. When they are connected in series, the percentage error in their equivalent resistance is:

Options

  1. A5%5\%
  2. B7%7\%
  3. C1%1\%
  4. D73%\dfrac{7}{3}\%

Correct answer

D. 73%\dfrac{7}{3}\%

Step-by-step solution

The equivalent resistance in series is given by:
Req=R1+R2=100+200=300 ΩR_{eq} = R_1 + R_2 = 100 + 200 = 300 \, \Omega

In addition, the absolute errors are added to find the maximum possible error:
ΔReq=ΔR1+ΔR2=3+4=7 Ω\Delta R_{eq} = \Delta R_1 + \Delta R_2 = 3 + 4 = 7 \, \Omega

The percentage error in the equivalent resistance is:
ΔReqReq×100=7300×100=73%\dfrac{\Delta R_{eq}}{R_{eq}} \times 100 = \dfrac{7}{300} \times 100 = \dfrac{7}{3}\%

Answer: 73%\dfrac{7}{3}\%
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