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The circuit diagram shwon in the fig con...

The circuit diagram shwon in the fig consist of a large number of elementws (each element has two resistors `R_1 and R_2.` The resistance of the resistors in each subsequent element differs by a factor of `k= 1/2` from the resistance of the resistors in previous elements find the equivalent resistance between A and B shown in

A

`(R_(1)-R_(2))/(2)`

B

`((R_(1)-R_(2))+sqrt(6R_(1)R_(2)))/(2)`

C

`((R_(1)-R_(2))+sqrt(R_(1)^(2)+R_(2)^(2)+6R_(1)R_(2)))/(2)`

D

None of these

Text Solution

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The correct Answer is:
A
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