In the given internal resistance of the 18 V cell is negligible .If \[{{R}_{1}}=400\] \[\Omega ,\] \[{{R}_{3}}=100\Omega \] and \[{{R}_{4}}=500\Omega \]and the reading of an ideal voltmeter Across \[{{R}_{4}}\]is 5 V, then the value of \[{{R}_{2}}\] will be: |
A) \[300\,\Omega \]
B) \[450\,\Omega \]
C) \[550\,\Omega \]
D) \[230\,\Omega \]
Correct Answer: A
Solution :
\[\frac{12}{400}=\frac{6}{600}+\frac{6}{{{R}_{2}}}\] |
\[\Rightarrow \]\[\frac{1}{200}=\frac{1}{600}+\frac{1}{{{R}_{2}}}\]\[\Rightarrow \]\[{{R}_{2}}=300\Omega .\] |
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