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Q.

The circuit diagram shown in figure consists of a large number of elements (each element has two resistors). The resistance of the resistors in each subsequent element differs by a factor of K=1/2 from the resistances of the resistors in the previous elements. The equivalent resistance between A and B shown in figure is

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a

R1−R22

b

(R1−R2)+6R1R22

c

(R1−R2)+R12+R22+6R1R22

d

none of these

answer is C.

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Detailed Solution

When each element of the circuit is multiplied by a factor k, then the equivalent resistance also becomes k times. Le the equivalent resistance between A and B be x.So the equivalent circuit becomesX=R1+kXR2kX+R2For k=12,  X=(R1−R2)+R12+R22+6R1R22
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The circuit diagram shown in figure consists of a large number of elements (each element has two resistors). The resistance of the resistors in each subsequent element differs by a factor of K=1/2 from the resistances of the resistors in the previous elements. The equivalent resistance between A and B shown in figure is