Special Edition - KCC's Quiz - World Engineering Day Quiz Equivalent Resistance

No complex equations required, all engineers should solve this with the fingers in the nose!

As Rin=Req of the loaded cell n by 2R is 2R, Req of any number of cell is always 2R.

Bingo MikeLh , you get it, congratulations!

2R

2R, indeed :) (why do I see the responses before even having responded..?)

The last two resistors (each 2R) are in parallel, thus can be replaced by R. this is in series with the horizontal R, creating 2R,
which is in parallel to the 2R of cell n-1. So in the limit we have a resistance of 2R, regardless of the number of cells.

This is a classic r-2r ladder used in DACs.

The answer is 2R.

2R, since cell n represents a resistance R + (2R || 2R) = R + R = 2R and every cell sees the same 2R

R_A-B = 2R

At the last chain link the two 2R resistor networks are parallel. This results in R. Another R in series results in 2R again. This is parallel to 2R of the chain link in front of it. This results in R again and so one.

At the first chain link (left side) we have the same situation. Therefore R_A-B = R + R = 2R .

2R and 2R  DAC Chain