A) \[24.9\times {{10}^{3}}\Omega inseries\]
B) \[24.9\times {{10}^{3}}\Omega \,\,in\,\,parallel\]
C) \[49.3\times {{10}^{3}}\Omega \,\,in\,\,series\]
D) \[49.3\times {{10}^{3}}\Omega \,\,in\,\,parallel\]
Correct Answer: A
Solution :
Initially at full scale deflection, the maximum current passing through the galvanometer resistance is \[I\] \[I=\frac{20\,mV}{100\Omega }=0.2\,mA\] Next for full scale deflection of 5V \[(R+100)I=5V\] Or \[R+100=\frac{5V}{I}=\frac{5V}{0.2\,mA}=25\times {{10}^{3}}\Omega \] So, \[R=25,000-100=24.9\times {{10}^{3}}\Omega \] Hence, \[R=24.9\times {{10}^{3}}\] in series
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