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Question: Answered & Verified by Expert
In the adjoining circuit, if the reading of voltmeter $\mathrm{V}_{1}$ and $\mathrm{V}_{2}$ are 300 volts each, then the reading voltmeter $\mathrm{V}_{3}$ and ammeter A are respectively
PhysicsAlternating CurrentVITEEEVITEEE 2013
Options:
  • A $220 \mathrm{~V}, 2.2 \mathrm{~A}$
  • B $100 \mathrm{~V}, 2.0 \mathrm{~A}$
  • C $220 \mathrm{~V}, 2.0 \mathrm{~A}$
  • D $100 \mathrm{~V}, 2.2 \mathrm{~A}$
Solution:
1294 Upvotes Verified Answer
The correct answer is: $220 \mathrm{~V}, 2.2 \mathrm{~A}$
Given, $\mathrm{V}_{1}=\mathrm{V}_{2}=300 \mathrm{~V} ; \mathrm{V}_{3}=?, \mathrm{i}=$ ?
$\begin{array}{l}
\text { As, } V=\sqrt{V_{3}^{2}+\left(V_{1}-V_{2}\right)^{2}} \\
\therefore 220=\sqrt{V_{3}^{2}}=V_{3} \Rightarrow V_{3}=220 V \\
\therefore I=\frac{V_{3}}{R}=\frac{220}{100}=2.2 \mathrm{~A}
\end{array}$

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