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Six resistors each of resistance R and t...

Six resistors each of resistance R and two resistors each of resistance r are connected in the network shown below. The equivalent resistance between A and B is

A

3R+r

B

6R+2r

C

2R/3

D

`R/3+r/3`

Text Solution

Verified by Experts

The correct Answer is:
C
`R_1` and `R_2` are in series , similarly `R_3` and `R_4` are in series, `R_5` and `R_6` are also in series . All having equal value of resistance i.e., R

This complete setup is in parallel
So, `1/(R_"(effective)")=1/"2R"+1/"2R"+1/"2R"`
`1/(R_"(effective)")=(1+1+1)/"2R"=3 /"2R"`
`R_"effective"=(2R)/3`
Here, no current will flow in 2r(r+r), because this will behave as null point circuit .
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