Two resistors of resistances R1=(300 ±3) Ωand R2=(500 ±4) Ωare connected in series. The equivale

Name: Problem 62, Chapter 2: Objective NCERT at your FINGERTIPS: Physics
Uploaded: 2021-09-25T14:38:18-08:00
Duration: 2 min 19 s
Channel: Mahendra Kumar
Description: Two resistors of resistances R1=(300 ±3) Ωand R2=(500 ±4) Ωare connected in series. The equivalent resistance of the series combination is (a) (800 ±1) Ω(b) (800 ±7) Ω(c) (200 ±7) Ω(d) (200 ±1) Ω

step 1 In this question we have two resistance and value of first resistance r1 is equals to 300 om plu

Question

Two resistors of resistances $R_{1}=(300 \pm 3) \Omega$ and $R_{2}=(500 \pm 4) \Omega$ are connected in series. The equivalent resistance of the series combination is (a) $(800 \pm 1) \Omega$ (b) $(800 \pm 7) \Omega$ (c) $(200 \pm 7) \Omega$ (d) $(200 \pm 1) \Omega$

   Two resistors of resistances $R_{1}=(300 \pm 3) \Omega$ and $R_{2}=(500 \pm 4) \Omega$ are connected in series. The equivalent resistance of the series combination is
(a) $(800 \pm 1) \Omega$
(b) $(800 \pm 7) \Omega$
(c) $(200 \pm 7) \Omega$
(d) $(200 \pm 1) \Omega$

Objective NCERT at your FINGERTIPS: Physics

NCERT 11th Edition

Chapter 2, Problem 62

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Solved by Expert Mahendra Kumar

09/25/2021

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These resistors are connected in series. Show more…

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Two resistors of resistances $R_{1}=(300 \pm 3) \Omega$ and $R_{2}=(500 \pm 4) \Omega$ are connected in series. The equivalent resistance of the series combination is (a) $(800 \pm 1) \Omega$ (b) $(800 \pm 7) \Omega$ (c) $(200 \pm 7) \Omega$ (d) $(200 \pm 1) \Omega$

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Key Concepts

Error Propagation in Addition

When combining measurements with uncertainties, such as resistor values, the uncertainty in the sum is found by adding the absolute uncertainties of the individual measurements. This method, appropriate for independent error sources that are added, ensures the resultant uncertainty reflects the combined potential variation.

Measurement Uncertainty

Measurement uncertainty represents the range within which the true value is expected to lie based on the precision of the measurement instrument. In the context of combining resistor values, each resistor's stated uncertainty affects the overall uncertainty in the calculated equivalent resistance.

Series Resistors

When resistors are connected in series, their total or equivalent resistance is the sum of the individual resistances. This means that the overall resistance is found by simply adding each resistor's value, which is a fundamental principle in circuit analysis.

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