Question

the equivalent resistance between A and B in the situation shown is

Answer 1

R=R+R=2R
AND OTHER
R=R+R=2R


equivalent resistance=1/2R+1/2R=1/R ANSWER


HERE IS bridge CASE THAT NO CURRENT WILL FLLOW IN MIDDLE resistance.

Answer 2

To find the equivalent resistance between A and B in the situation shown :

• The given circuit can be drawn as a Bridge with a resistance R in the middle.
• Now we see that since the product of the diagonal resistances are equal so no current will go through the middle portion and so we can omit that resistance R in the middle.
• So, the left out resistances are in series parallel combination.
• Equivalent resistance in the above portion = R + R = 2R (series combination)
• Equivalent resistance in the below portion = R + R = 2R (series combination)
• Total Equivalent resistance = R (parallel of 2R and 2R).

Hence the total equivalent resistance will be R.