question_answer

If a resistance \[{{R}_{2}}\] is connected in parallel with the resistance R in the circuit shown, then possible value of current through R and the possible value of \[{{R}_{2}}\] will be

A)            \[\frac{I}{3},\,R\]

B)                    \[I,\,2R\]

C)                    \[\frac{I}{3},\,2R\]

D)                    \[\frac{I}{2},\,R\]

Correct Answer: D

Solution :

             According to the figure, \[(I-{{I}_{1}}){{R}_{2}}={{I}_{1}}R\] Only two values satisfying the above relation are \[\frac{I}{2}\] and R