A) \[550\text{ }\Omega \]
B) \[450\text{ }\Omega \]
C) \[230\,\,\Omega \]
D) \[300\,\,\Omega \]
Correct Answer: D
Solution :
\[{{V}_{{{R}_{4}}}}^{~}=~5\,Volt\] \[\,I{{R}_{4}}^{~}=~5\,\] or \[I=\frac{5}{500}\,\,=\,\,\frac{1}{100}\,Amp.\] \[\Rightarrow \,\,{{V}_{{{R}_{2}}}}=\frac{1}{100}(100+500)=6\,volt.\] So, V across \[400\text{ }\Omega \] will be \[18-6=12\] volt \[\Rightarrow \]Total current\[=\,\,\frac{12}{400}\,Amp.\] \[\Rightarrow \]I across \[{{R}_{2}}=\frac{12}{400}-\frac{1}{100}=\frac{8}{400}\] Amp. Now\[\frac{8}{400}{{R}_{2}}=6\] So, \[{{R}_{2}}=300\text{ }\Omega .\]You need to login to perform this action.
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