Q.

Fourteen identical resistors, each of resistance r each connected as shown in figure. Pick the incorrect alternative(s)

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a

Effective resistance between A and E is 1.2r

b

Effective resistance between A and E is 1.6r

c

The value of I3 in terms of I1 is2I15

d

Relation between I and I3 is I = 5I3

answer is B.

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Detailed Solution

By the symmetry of circuit the points (B, H) and (D, F) are at same potential. So Resistors in branches ‘BH’ and ‘DF’ are ineffective. The equivalent circuit is

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From current distribution for series and parallel combinations
i1=i/2,i2=i/2,i3=i/5,i=5i3 i3i1=25i3=2i15RAE=r/2+r5+r2=6r5=1.2r

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