A) The potential difference between X and Z is equal to that between Z and Y
B) The potential difference between X and Z is more than that between Z and Y
C) The potential difference between X and Z is less than that between Z and Y
D) The potential difference between Z and Y is 24V
Correct Answer: B
Solution :
Equivalent resistance between Z and Y is given by \[\frac{1}{{{R}_{ZY}}}=\frac{1}{4}+\frac{1}{8}+\frac{1}{6}\] \[\frac{1}{{{R}_{ZY}}}=\frac{6+3+4}{24}\] \[\Rightarrow \] \[R=\frac{24}{13}\Omega \] \[{{V}_{ZY}}=IR\] \[=10\times \frac{24}{13}=18.5\,V\] Equivalent resistance between X and Z is \[{{R}_{ZY}}=\frac{6\times 4}{6+4}=2.4\,\Omega \] \[{{V}_{XZ}}=I{{R}_{XZ}}\] \[=10\times 2.4=24\,\Omega \] Hence, \[{{V}_{XZ}}>{{V}_{ZY}}\]
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