A) \[\frac{6r}{5}\]
B) \[\frac{5r}{6}\]
C) \[\frac{5r}{12}\]
D) \[\frac{12r}{5}\]
Correct Answer: D
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, \[E=IR\] \[(6I)\text{ }R=5lr\] \[\Rightarrow \] \[R=\frac{5}{6}r\]You need to login to perform this action.
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