A) The current through NP is 0.5 A
B) The value of \[{{R}_{1}}=20\Omega \]
C) The value of \[R=14\Omega \]
D) The potential difference across R = 49 V
Correct Answer: C
Solution :
Potential difference across MP = p. d. across NO = p. d. across N.P (see figure.) \[\therefore \]\[{{I}_{NP}}\times 10=20\times 1\]or \[{{I}_{NP}}=2A\] Across MP. 0.5\[{{R}_{1}}=20\] or\[{{R}_{1}}=40\Omega \] Total current \[=2+035+1.0=3.5\,A\] \[3.5=\frac{69}{R+40/7}\]yields \[R=14\Omega \] Hence, the correct choice is [c].
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