Gce Model Questions Vol1 2021 Physics Question 44

Practice objective / multiple choice question 44 from the 2021 Gce Model Questions Vol1 Physics examination.

Gce Model Questions Vol1 2021 Physics Objective / Multiple Choice Hard Difficulty
Question 44 GCE_MODEL_QUESTIONS_VOL1 • 2021 • PHYSICS • objective

A battery of emf \(12\;\text{V}\) and internal resistance \(r\) is connected to a circuit consisting of a resistor \(R_{1}=14\;\Omega\) in series with the parallel combination of \(R_{2}=6\;\Omega\) and an unknown resistor \(R_{3}\). The total current measured is \(0.50\;\text{A}\). When a second identical battery is added in series with the first (so the total emf becomes \(24\;\text{V}\) and the internal resistance \(2r\)), the total current rises to \(0.80\;\text{A}\). Determine (a) the value of \(R_{3}\) and the internal resistance \(r\), and (b) the power dissipated in \(R_{3}\) in the original single‑battery arrangement.

Answer Options

A. R_{3}=14\,\Omega, r=7\,\Omega, power in R_{3}=0.40\,W
B. R_{3}=8\,\Omega, r=4\,\Omega, power in R_{3}=0.20\,W
C. R_{3}=10\,\Omega, r=5\,\Omega, power in R_{3}=0.25\,W
Correct Answer D. R_{3}=12\,\Omega, r=6\,\Omega, power in R_{3}=0.33\,W
Correct Answer
D
Correct Option:
R_{3}=12\,\Omega, r=6\,\Omega, power in R_{3}=0.33\,W

About This Question

This is Gce Model Questions Vol1 2021 Physics Question 44. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Physics examination.

Difficulty level: Hard .

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