In the circuit shown the cells A and B have negligible resistances. For \[{{V}_{A}}=12\,V,\] \[{{R}_{1}}=500\,\Omega \] and \[R=100\,\Omega \] the galvanometer (G) shows no deflection. The value of \[{{V}_{B}}\] is [AIPMT (S) 2012] |
A) 4 V
B) 2 V
C) 12 V
D) 6 V
Correct Answer: B
Solution :
[b] Applying Kirchhoffs law |
\[500I+100I=12\] |
So, \[I=\frac{12\times {{10}^{-2}}}{6}=2\times {{10}^{-2}}\] |
Hence, \[{{V}_{B}}=100(2\times {{10}^{-2}})=2\,V\] |
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