2023 · Q71
A wire of resistance R is cut into four equal parts. These parts are then connected in parallel. If the equivalent resistance of this combination is R′, then the ratio R′/R is:
general-sciencephysics-light-electricity
- A1/16
- B1/4
- C4
- D16
Explanation
Cutting the wire of resistance R into four equal parts gives each part a resistance of R/4. Connecting these four equal resistors in parallel gives an equivalent resistance R' = (R/4)/4 = R/16. The ratio R'/R is therefore 1/16. Hence option A.