A) \[\frac{6\,r}{5}\]
B) \[\frac{5\,r}{6}\]
C) \[\frac{5\,r}{12}\]
D) \[\frac{12\,r}{5}\]
Correct Answer: B
Solution :
Let a current \[(6I)\] enter at A and leave at M. The current distribution is as shown. Let equivalent resistance be R. Each of the 12 wires have resistance r. \[\therefore \] \[E=2Ir+Ir+2Ir\] From Ohm?s law, \[E=IR\] \[(6I)R=5Ir\] \[\Rightarrow \] \[R=\frac{5}{6}r\]You need to login to perform this action.
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