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  • Three identical cells, each having an e.m.f. of and a constant internal resistance of <

Three identical cells, each having an e.m.f. of 1.5 \mathrm{~V} and a constant internal resistance of 2.0 \Omega, are connected in series with a 4.0 \Omega  resistor R, first as in circuit (i), and secondly as in circuit (ii)

\text{What is the ratio }~ \frac{\text { Power in R in circuit (i) }}{\text { Power in R in circuit (ii) }} ?

Option: 1

9.0


Option: 2

7.2


Option: 3

1.8


Option: 4

3.0


Answers (1)

best_answer

\begin{aligned} &\mathrm{ \text { power } P=I^2 R=\left(\frac{V}{R+3 r}\right)^2 R \Rightarrow P \propto V^2 }\\ &\mathrm{ \text { Power ratio }=\left(\frac{V_1}{V_2}\right)^2=\left(\frac{4.5}{1.5}\right)^2=3^2=9}\\ \end{aligned}

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